A box rests on a horizontal, frictionless surface. A girl pushes on the box with a force of 18 N to the right and a boy pushes on the box with a force of 12 N to the left. The box moves 4.0 m to the right. Find the work done by (a) the girl, (b) the boy, and (c) the net force.
Explanation:
Find the work done by (a) the girl, (b) the boy, and (c) the net force.
a-b=c
18 N - 12 N = Net Force 6
The answer to Net Force of 6 to the right
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the spacecraft is using xenon as the propellant for the maneuver in the previous question. how would you size the tank?
the spacecraft is using xenon with a total spacecraft mass of 5 kg assumed. This simple formulation captured the interaction between propellant pressure and propellant tank volume.
A propellant (or propellent) is a mass that is expelled or expanded in order to produce a thrust or other motive force in accordance with Newton's third law of motion and "propel" a vehicle, projectile, or fluid payload. A reaction engine is the engine that expels the propellant in a vehicle. Although a propellant is technically the reaction mass used to generate thrust, the term "propellant" is commonly used to describe a substance that contains both the reaction mass and the fuel that stores the energy used to accelerate the reaction mass. For example, in chemical rocket design, the term "propellant" is frequently used to describe a combined fuel/propellant, although propellants should not be confused with fuel.
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A box is made from a piece of card measuring 6 cm by 9 cm with squares of side x cm out of the corners. Use Desmos to find find the maximum volume.
The maximum volume of the box is 24 cm^3 when the side length of the corner squares is x = 3/2 cm.
What is volume?
Volume is a measure of the amount of space occupied by a three-dimensional object. It is a scalar quantity and it has units of length cubed, such as cubic meters (m³), cubic centimeters (cm³) or cubic inches (in³). The volume of an object can be calculated by multiplying its three dimensions: length, width, and height (or depth).
To find the maximum volume of the box, we can use calculus to find the critical points of the volume function.
First, we need to express the volume of the box in terms of the side length x. The volume of the box can be found by subtracting the volume of the four corner cubes from the volume of the entire card.
The volume of the entire card is 69x and the volume of each corner cube is x^3.
Therefore,
V = (69x) - 4(x^3)
Now, we can use the first derivative test to find the critical points of the volume function.
dV/dx = 54x - 12x^3
Setting dV/dx equal to zero and solving for x, we get x = 3/2.
Now, we can substitute this value of x back into the volume function and find the maximum volume of the box.
V = (69(3/2)) - 4((3/2)^3) = 27 - 4(27/8) = 27 - 3 = 24
Therefore, the maximum volume of the box is 24 cm^3 when the side length of the corner squares is x = 3/2 cm.
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A + 10 nC charge is located at the origin.
part A: What is the strength of the electric field at the position (x,y)=(5.0cm,0cm)?
Part B: What is the strength of the electric field at the position (x,y)=(−5.0cm,5.0cm)?
Part C: What is the strength of the electric field at the position (x,y)=(−5.0cm,−5.0cm)?
A)The strength of the electric field at the position (x,y)=(5.0cm,0cm) is [tex]3.6*10^{4}[/tex] N/C
B)The strength of the electric field at the position (x,y)=(−5.0cm,5.0cm) is [tex]1.78*10^4[/tex] N/C
C) The strength of the electric field at the position (x,y)=(−5.0cm,−5.0cm) is [tex]1.78*10^4[/tex] N/C
A)To determine the field strength at point A where (x,y)=(5.0cm,0.0cm),
notice that the distance from A to the origin is simply 5.0 units along the y-axis.
[tex]E=1/4\pi e_{o}*\frac{Q}{r^{2}}[/tex]
[tex]E=9*10^{9}*\frac{10*10^{-9}}{{5*10^{-2}}^{2}}[/tex]
[tex]E=3.6*10^{4}[/tex]N/C
B)To determine the field strength at point A where (x,y)=(-5.0cm,5.0cm),
use Pythagoras theorem,
[tex]r=\sqrt{5^2+5^2} \\r=7.1cm[/tex]
[tex]E=1/4\pi e_{o}*\frac{Q}{r^{2}}[/tex]
[tex]E=9*10^{9}*\frac{10*10^{-9}}{{7.1*10^{-2}}^{2}}[/tex]
[tex]E=1.78*10^4[/tex] N/C
C)To determine the field strength at point A where (x,y)=(-5.0cm,-5.0cm),
use Pythagoras theorem,
[tex]r=\sqrt{5^2+5^2} \\r=7.1cm[/tex]
[tex]E=1/4\pi e_{o}*\frac{Q}{r^{2}}[/tex]
[tex]E=9*10^{9}*\frac{10*10^{-9}}{{7.1*10^{-2}}^{2}}[/tex]
[tex]E=1.78*10^4[/tex] N/C
What is electric field strength?
Electric field strength is a quantitative expression of the intensity of an electric field at a particular location. The standard unit is the volt per meter (V/m or V·m-1). A field strength of 1 V/m represents a potential difference of 1 V between points separated by 1 meter.
How to measure electric field strength?
F=(k·Q·q)/d2
In this case, F again represents force, k equals the coulomb constant, Q refers to the source charge (in coulombs), q is the test charge (in coulombs) and d is the distance between Q and q.
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A string pulls horizontally on a cart so that it moves at increasing speed along a smooth, frictionless, horizontal surface. When the cart is moving medium-fast, the pulling is stopped abruptly. (a) Describe in words what happens to the cart's motion when the pulling stops. (b) Illustrate your description with motion diagrams, force diagrams, and position-versus-time and velocity-versus-time graphs. Indicate on the graphs when the pulling stopped. What assumptions did you make?
a) We are assuming that the surface is frictionless, so when the pulling stops, the cart will continue to move at a constant speed in a straight line.
b) Illustration of description with motion diagrams, force diagrams, and position-versus-time and velocity-versus-time graphs is given in the attachment.
What is frictionless surface?From Galileo Galilei's writings comes the idea of the frictionless surface. A formula for predicting the motion of an object moving down an inclined plane was provided by Galileo in his 1638 book The Two New Sciences. His formula was based on earlier work he had done with bodies that were falling freely.
Although his model was based on conceptual modelling of the forces acting upon the object, it was not based on experiments with objects moving down an inclined plane. Galileo understood the mechanics of the inclined plane as the union of the horizontal and vertical vectors; the outcome of gravity acting upon the object, diverted by the slope of the plane.
The cart accelerates until the pulling stops, at which point it will move at a constant speed(see attachment). Because of the constant acceleration that causes the velocity to increase with time, the first part of the function is a straight inclined line. The second part is a straight horizontal line because the cart moves at a constant velocity after the pulling stops because there are no horizontal forces acting on it.
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1. two particles are suspended in an electric field caused by a parallel-plate capacitor. the top plate is negatively charged and the bottom plate is positively charged.a) describe the expected behavior of the first particle in the electric field if the first particle is a proton. [ 2 ]b) show a force equation to describe the acceleration of the proton. [ 3 ]c) describe the expected behavior of the second particle in the electric field if the second particle is an electron. [ 2 ]d) show a force equation to describe the acceleration of the electron. [ 3 ]
depicts two negative charges balloons hanging from the ceiling via insulated cords. diagrams displaying the tension force in free bodies
Will there be a fee for this?
To demand payment from someone for a service you are providing for them or something you are offering to them is both intransitive and transitive. most clubs levie a fee for the privilege of using their tennis courts. You would be charged a little price for lodging and food. charge someone for something.
Which two categories of charges are there?
Positive charge, as shown by protons, and negative charge are the two different types of control (exhibited by electrons). The electromagnetic force becomes more complex as the charges move, according to Coulomb's law, which defines the electric forces among particles.
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In Figure 23-29, a proton is a distance d/2 directly above the center of a square of side d. What is the magnitude of the electric flux through the square? (Hint: Think of the square as one face of a cube with edge d.)
The electric flux through the square is 2 * k * e.
The electric flux through the square is equal to the electric field passing through the surface multiplied by the area of the surface. Since the proton is located at a distance d/2 above the center of the square and the square is one face of a cube with edge length d, the electric field at the center of the square is equal to the electric field at the center of the cube.
The electric field at a point in space due to a point charge is given by Coulomb's law, which states that the electric field E at a distance r from a point charge q is given by: E = k * q / r^2 where
E is the electric field.k is the Coulomb constant.q is the charge.r is the distance.Given that the proton has a charge of +e and is located d/2 above the center of the square of side d, the magnitude of the electric field at the center of the square is: |E| = k * e / (d/2)^2
Since the area of the square is d^2, the electric flux passing through the square is:
electric flux = |E| * d^2
Therefore, the electric flux through the square is k * e * d^2 / (d/2)^2
= 2 * k * e.
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An electron with an initial speed of 5.00×105 m/s is brought to rest by an electric field.Did the electron move into a region of higher potential or lower potential?What was the potential difference that stopped the electron?What was the initial kinetic energy of the electron, in electron volts?
Potential difference of electron which is moving with speed of 5.00×105 m/s is 0.7109 V and Initial kinetic energy is 11.375 × 10∧-20 eV
What does "potential difference" actually mean?Potential difference, also known as the external effort required to move a charge from one position to another in an electric field, is said to be the difference with in energy which electric charges have between 2 points in a circuit. Volts are used to measure it. Voltage is another name for potential difference (Pd. ), which is measured in volts (V).
Given -
Speed of electron = 5.00×105 m/s
We know that
K.E = e × V
Potential difference = K.E / e
= 11.375 × 10∧-20 / 1.6 × 10∧-19
= 0.7109 V
Initial kinetic energy = 1/2 ×m × v²
= 1/2 × 9.1×10∧-31 × (5×10∧5)∧2
= 11.375 × 10∧-20 eV
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a high-speed bullet train accelerates and decelerates at the rate of 10 ft/s2. its maximum cruising speed is 105 mi/h. (round your answers to three decimal places.) (a) what is the maximum distance the train can travel if it accelerates from rest until it reaches its cruising speed and then runs at that speed for 15 minutes? mi (b) suppose that the train starts from rest and must come to a complete stop in 15 minutes. what is the maximum distance it can travel under these conditions? mi (c) find the minimum time that the train takes to travel between two consecutive stations that are 52.5 miles apart. min (d) the trip from one station to the next takes at minimum 37.5 minutes. how far apart are the stations?
The maximum distance the train can travel is 26.47 miles. If the train starts from rest and must come to a complete stop in 15 minutes, it can travel a maximum distance of 138600 ft.
What factors affect the maximum distance a train can travel?The maximum distance a train can travel is affected by several factors such as the initial velocity of the train, the time spent accelerating, the cruising speed, the time spent cruising, the time spent decelerating and the deceleration rate. Additionally, the train's engine power, fuel capacity, and the weight of the train also affect the maximum distance it can travel. In this case, the train starts from rest and has a constant acceleration of 10ft/s^2, a cruising speed of 105mi/h and a time of 15min before decelerating.
How do you calculate the maximum distance the train can travel if it accelerates from rest until it reaches its cruising speed and then runs at that speed for 15 minutes?The maximum distance the train can travel if it accelerates from rest until it reaches its cruising speed and then runs at that speed for 15 minutes can be found using the kinematic equation:
d = 1/2 x a x t^2 + v x t
Given,
a = 10 ft/s^2 (acceleration)
v = 105 mi/h = 150 ft/s (cruising speed)
t = 15 minutes = 900 seconds
d = 1/2 * 10 ft/s^2 * 900 seconds^2 + 150 ft/s * 900 seconds
d = 40,500 ft
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a parallel plate capacitor is charged up by a battery. the battery is then disconnected, but the charge remains on the plates. the plates are then pulled apart. explain whether each of the following quantities increases, decreases, or remains the same as the distance between the plates increases. explain your reasoning for each. cj7 19.cq.017 (a) the capacitance of the capacitor (b) the potential difference between the plates (c) the electric field between the plates (d) the electric potential energy stored by the capacitor
This is because capacitance is defined as the ratio of the charge on the plates to the potential difference between them (C = Q / V), and, the potential difference between them remains the same.
(b) the potential difference between the plates,The potential difference between the plates remains the same as the distance between the plates increases. This is because the potential difference between the plates is determined by the battery and not affected by the distance between the plates.
(c) the electric field between the plates (d) the electric potential energy stored by the capacitor(c) The electric field between the plates decreases as the distance between the plates increases. This is because the electric field is the force per unit charge, and it is inversely proportional to the distance between the plates. As the distance between the plates increases, the electric field decreases.
(d) The electric potential energy stored by the capacitor decreases as the distance between the plates increases. This is because the electric potential energy stored by the capacitor is given by the equation U = 1/2 * C * V^2, and as the distance between the plates increases, the capacitance decreases and the potential difference remains the same. Therefore, the electric potential energy stored by the capacitor decreases.
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What can one say about the image produced by a thin lens that produces a positive magnification?
a. It is real and inverted
b. It is real and erect.
c.It is virtual and inverted.
d. It is virtual and erect.
The answer to this question depends on the type of thin lens being discussed and the position of the object.
What is magnification?Magnification is the process of enlarging an object or image beyond its normal size. Through magnification, objects can be seen with greater clarity and detail. It is often used in microscopes, telescopes, and magnifying glasses to allow for close examination of an object or image. Magnification can also be used to change the size of an image or object for a variety of applications.
Generally speaking, a thin lens that produces a positive magnification will produce an image that is real and inverted. This means that the image will be the same size as the object but will be inverted. This is because the rays of light being refracted by the lens are converging towards the same point and thus producing an image which is behind the lens and on the same side as the object. If the object is placed on the other side of the lens, this will result in a virtual and erect image.
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The image produced by a thin lens that produces a positive magnification is real and inverted. So correct option is a.
What do you mean by positive magnification?Positive magnification refers to the increase in size of an image produced by an optical system, such as a microscope or telescope. A positive magnification means that the image is larger than the object being viewed. A magnification of "x10" means that the image is ten times larger than the object being viewed.
A thin lens that produces a positive magnification will produce a real and inverted image.
When a lens has a positive magnification, it means that the image is larger than the object, and the image is on the same side of the lens as the object. Since the image is real, it means that it is formed by the actual convergence of light rays, and it can be projected on a screen. And since the image is inverted, it means that it is upside-down with respect to the object.
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A fan blade rotates with angular velocity given by ωz(t)= γ − β t2, where γ = 4.65 rad/s andβ = 0.775 rad/s3 .
Calculate the angular acceleration as a function of time.
Calculate the instantaneous angular acceleration αz at t0 = 2.7 s .
Calculate the average angular acceleration αav−z for the time interval t=0 to t0 = 2.7 s
The angular acceleration as a function of time is found to be -2βt.
The instantaneous angular acceleration is found to be -4.18rad/s².
The average angular acceleration is found to be -2.09rad/s².
What is average angular acceleration?The ratio of the change in angular velocity to the time it takes for the object to experience the change is known as the average angular acceleration, or avg., of an object. The limit of the average angular acceleration as time approaches zero is known as the instantaneous angular acceleration.
Given:
a)w = z(t)= γ − β×t²
By separating the two sides in terms of t, we obtain
α = z(t) = -2βt
b)Given: γ = 4.65rad/s and β = 0.775 rad/s³
so, For t = 2.7 sec,
angular acceleration = -2 × 0.775× 2.7 = -4.18rad/s.
c) average angular acceleration α avg = ΔW₂(t)/Δt
α avg = W₂ ×2.7 - W₂ ×0/2.7-0
α avg = γ - β(2.7)² - [γ - β(0)²]
α avg = -β (2.7)²/2.7
α avg = β (2.7)
α avg = 0.775 (2.7)
α avg = -2.09rad/s².
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The distance between two objects is increased by 3 times the original distance. How will this change the force of attraction between the two
objects?
ОА.
The new force will be of the original.
3
OB.
The new force will be 3 times more than the original.
OC.
1
The new force will be- of the original.
OD.
The new force will be 9 times more than the original.
OB. The new force will be 3 times more than the original. If the distance between the two objects is increased by a factor of 3, the distance between the two objects is increased by 3 times the original distance.
The inverse square law, which states that the force of attraction between two items is inversely proportional to the square of their distance, governs the interaction between two objects. This implies that the power of attraction between the two items weakens as their distance grows. In this case, there is a three-fold increase in the separation between the two items. The inverse square law states that the force of attraction between two objects will drop by a factor of nine if their separation grows by a factor of three. The formula for this is force = k/d2, where d is the separation between the two objects and k is a constant.
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At one point in a pipeline, the water's speed is 3.00 m/s and the gauge pressure is 5.00×10^4 Pa. Find the gauge pressure at a second point in the line, 11.0 m lower than the first, if the pipe diameter at the second point is twice that at the first.
By using Benoulli's principle the gauge pressure (P2) at a second point in the line is 1.62 × 10∧5 Pa.
What is the purpose of Bernoulli's principle?The Bernoulli principle describes the conserve of mechanical work for all streamline which make up the flow and is primarily a statement on the energy conservation in a flowing fluid. When a vehicle goes quickly, it creates a low-pressure area, which causes dust to be pushed along in it.
Let pressure at at first point = P1
And, pressure at second point = P2
From Benoulli's principle -
P2 = P1 + 1/2 ρ(v1∧2 - v2∧2) + ρg (h1 - h2)
P2 = (5×10∧4 ) + 1/2 (1000) × ( (3 )∧2 - (0.75)∧2) + (1000) (9.8 ) × (11).
P2 = 1.62 × 10∧5 Pa
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1.calculate the resultant velocity of freda flyer who normally flies at 100 km/h and then encounters a 10 km/h headwind (a wind coming from ahead).
The resultant velocity of Freda flyer would be 90 km/h. A sector's headwind may become its tailwind, and conversely.
What are flying tailwinds?Tailwind is wind blowing from behind the aircraft. It reduces the lift and aircraft generally avoid taking off or landing in tailwind. A tailwind is wind that is blowing toward the back of the plane. Aircraft often stop taking off or flying in headwinds because it lowers lift. Aside from this, airplanes like tailwinds since they propel planes faster, which saves time and fuel. Crosswind is defined as wind blowing from an aircraft's side.
Is Tailwind an useful resource?Tailwinds are elements and situations that contribute to growth or have favorable effects on earnings and sales. Headwinds are elements or occurrences that hinder growth or have a negative impact on revenues and revenue.
This can be calculated by subtracting the headwind velocity (10 km/h) from the original velocity (100 km/h).
Resultant velocity = Original velocity - Headwind velocity
Resultant velocity = 100 km/h - 10 km/h = 90 km/h
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extra for experts: what are the main differences between bill nye's solar system model and the second life model? what about other models like what if the moon was 1 pixel or the scale of the universe?
(1) The primary different between Bill Nye's solar system model and the Second Life Model is the use of a realistic scale to depict the relative sizes and separations of the planets in Bill Nye's model.
(2) A project by designer and artist Josh Worth serves as an example. Its name, "If the moon were only one pixel," accurately describes what it does. The moon (3474.8 km) occupies the entire pixel, and the rest of the solar system is scaled down to fit. It turns out that most of the time, space is just that—space.
All of the planets in Bill Nye's model are in a straight line, and it's quite realistic. Although Bill Nye's scale is more precise than this one, the second life model demonstrates how the planets orbit the sun, the spin of their axes, and other things. However, this model is not fully accurate.
"If the Moon Were 1 Pixel" is an infographic by designer Josh Worth. The interactive infographic precisely measures out our solar system using pixels and lets users scroll around space as if they were a spacecraft pushing its boundaries.
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a pitot-static probe can often be seen protruding from the underside or side of an airplane. as the airplane flies, the probe measures relative air speed. what type of measurement is this?
This is a measurement of relative air speed, also known as true airspeed.as the airplane flies, the probe measures relative air speed. what type of measurement is this.
What is airspeed?
Airspeed is the speed of an aircraft relative to the air through which it is moving. It is typically measured in knots, nautical miles per hour (knots), or kilometers per hour (kph).
Airspeed is important for pilots to know in order to safely and accurately navigate the airspace. An aircraft's airspeed has an effect on its performance, such as the rate of climb or descent, rate of turn, and stall speed. Airspeed is also important for aircraft designers, as it can affect the aerodynamic performance of the aircraft.
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a ball is thrown directly up from a height of 0m with an initial speed of 2m/s. calculate the height of the apex of the throw. (section 3.9.)
A ball is thrown directly up from a height of 0m with an initial speed of 2m/s. The height of the apex of the throw is 0.897 meters.
What is Initial speed?Initial speed refers to the velocity or rate of motion of an object at the beginning of a period or the start of a specific event. It is typically represented by the symbol "u" and is measured in units of distance per time, such as meters per second (m/s). The initial speed of an object can be determined by measuring its position at the beginning and end of a period and using the formula: speed = distance/time.
The height of the apex of the throw can be calculated using the following equation:
y = vi*t + (1/2)gt^2
where,
y = height of the apex (in meters)
vi = initial velocity (in m/s) = 2 m/s
t = time of flight (in seconds)
g = acceleration due to gravity (in m/s^2) = 9.8 m/s^2
Since the ball is thrown directly upwards and the initial velocity is given, we can use the following equation to calculate the time of flight:
t = 2*vi/g
Substituting the given values, we get:
t = 2*2/9.8 = 0.408 seconds
Now we can substitute the calculated value of t and the given value of vi into the first equation to get the height of the apex:
y = vit + (1/2)gt^2
y = 20.408 + (1/2)9.80.408^2
y = 0.816 + 0.081 = 0.897 meters
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Using Kirchhoff's junction rule, determine which one of the following four diagrams would be the appropriate one to use for solving this problem.
Among the four given diagrams, the fourth one (d) is observed to be correct one used to solve the problem.
The true direction of an unknown current or emf is frequently unknown in advance, but this is irrelevant. Your calculations will produce a result with a negative sign if the actual direction of a given quantity differs from your assumption.
The conservation of charge is used to apply Kirchhoff's first rule to a junction. Charge is conserved, and current is the flow of charge. So, whatever charge flows into the junction must flow out. It is also known as junction law.
The question is incomplete. The complete question has four different diagrams in the attachment below.
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What is the smallest height needed to make a wave?A. 6 feetB. 90 millimetersC. 20 millimetersD. any height
D. Any height. Wave height is determined by the amount of energy that is present in the wave and the distance between the wave crests. As long as there is energy present in the wave, it can form regardless of its height.
What is energy?Energy is a fundamental concept in physics, and is defined as the capacity for doing work. It can be transformed from one form to another, and is found in many forms such as thermal, kinetic, electrical, chemical, nuclear, and gravitational energy. Energy is found in the environment, in living things, and in the conversion of one form of energy to another. It is the driving force behind all physical, chemical, and biological processes. In the world of physics, energy is the ability to do work. It manifests itself in a variety of forms such as light, heat, electrical, gravitational, and chemical energy. Energy is never created or destroyed, but it can be converted from one form to another. The total amount of energy in the universe is constant and never changes, but it can be changed from one form to another. It is essential for life, as it is used to power everything from growth and development to communication and transportation.
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the bumpy pattern on the soles of shoes is called the tread. melanie and keisha are at the store looking at the treads on different basketball shoes. they want new shoes so that they do not slide on the basketball court. which of these situations produces the most friction between the shoes and the floor? a. a girl with a less mass wearing shoes with more tread b. a girl with a less mass wearing shoes with less tread c. a girl with greater mass wearing shoes with more tread d. a girl with greater mass wearing shoes with less tread
Out of all the instances described, a girl with more mass wearing shoes with higher tread will cause the most friction.
Which four forms of friction are there?
The force that prevents one solid item from moving across another is known as friction. Static friction, sliding friction, rolling friction, and fluid friction are the four main categories of friction.
What is frictional force, exactly?
Two surfaces that come into contact and slide against one another produce frictional force. The following variables impact the frictional force: Surface roughness and the amount of force pressing them together have the biggest an impact on these forces.
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In an orbiting spacecraft, you are handed two identical closed boxes, one filled with sand and the other filled with feathers. How can you tell which is which without opening the boxes
By observing both boxes in a microgravity environment we can deduce which box has feathers and which one has sand.
What is microgravity?
Microgravity is a condition in which the gravitational force experienced by an object is much weaker than the gravitational force experienced on the Earth's surface. It is characterized by a very small or negligible acceleration due to gravity. Microgravity can be found in environments such as orbiting spacecraft, the International Space Station, or high-altitude balloons.
In an orbiting spacecraft, where there is no gravity, you can tell which box is filled with sand and which is filled with feathers by performing a simple experiment.
Hold one of the boxes in one hand and the other box in the other hand.Release both boxes simultaneously.Observe the motion of the boxes.In a microgravity environment, both boxes will float in the air, but the box filled with sand will have more inertia and will tend to move less than the box filled with feathers due to their difference in mass. The box filled with feathers will have a lower mass and will be more affected by air resistance and other perturbations, thus moving more in the spacecraft.
Therefore, you can tell which box is filled with sand and which is filled with feathers by observing their motion in a microgravity environment without opening the boxes.
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A bicyclist rides 5.2 km due east, while the resistive force from the air has a magnitude of 3.4 N and points due west. The rider then turns around and rides 5.2 km due west, back to her starting point. The resistive force from the air on the return trip has a magnitude of 2.8 N and points due east.
The work done by resistive force from starting to return of the trip is -27.04KJ
What exactly is a resisting force?The resistance to movement is caused when two objects rub against one another is called friction. Friction occurs whenever two items come into interaction with one another. Friction acts in the exact opposite direction from the motion and works against it. The two surfaces' respective materials have an impact on how much friction exists.
d1 = 5.2km east ; d2 = 5.2 Km west
f1 = 2.4N ; f2 = 2.8N
Work done = F.s => F scosФ
Ф => Angle between force and displacement
W1 = f1 d1 cosФ
=> 2.4 x 5200mx cos180
=> - 12.480KJ
W2= f2 d2 cosФ
=> 2.8 x 5200m x cos180
=> -14.56KJ
Total work done => W1 + W2 = - 12.480KJ + (-14.56KJ)
=> -27.04KJ
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1. technology required. ramps in a parking garage need to be both steep and safe. the maximum safe incline for a ramp is 8.5 degrees. is this ramp safe? if not, provide dimensions that would make the ramp safe
The ramp is not safe. Making the height up to 14.25 will make the ramp safe.
Given:
Incline angle = 85.5 degrees
Let's assume the steep angle is α. For a safe ramp, the angle should be:
Tanα = 15/95
Tanα = 3/19
Tanα = 0.158
α = Tan⁻¹(0.158)
α = 8.98°
Since the given angle is less than a steep angle,
8.98° > 8.5°
Hence, the ramp is not safe.
Dimensions for ramp to be safe:
Tan (8.5) = 0.15
Making the height up to 14.25 will make the ramp safe.
Hence, the ramp is not safe. Making the height up to 14.25 will make the ramp safe.
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(a) What is the total random kinetic energy of all the molecules in 1 mol of hydrogen at a temperature of 300 K?(b) With what speed would a mole of hydrogen have to move so that the kinetic energy of the mass as a whole would be equal to the total random kinetic energy of its molecules?
The total random kinetic energy of all the molecules in 1 mol of hydrogen at a temperature of 300 K can be calculated using the equation for the internal energy of an ideal gas:
U = 3/2 * nRT
Where U is the internal energy, n is the number of moles, R is the ideal gas constant and T is the temperature in Kelvin.
Since hydrogen is a diatomic gas, the internal energy of 1 mol of hydrogen at 300 K is given by:
U = 3/2 * (1 mol) * (8.314 J/mol*K) * (300 K) = 1.50 x 10^4 J
The kinetic energy of a gas is related to its temperature by the following equation:
KE = 3/2 * nRT
So the total random kinetic energy of all the molecules in 1 mol of hydrogen at a temperature of 300 K is:
KE = 3/2 * (1 mol) * (8.314 J/mol*K) * (300 K) = 1.50 x 10^4 J
To find the velocity at which a mole of hydrogen would have to move so that the kinetic energy of the mass as a whole would be equal to the total random kinetic energy of its molecules, we need to use the formula for kinetic energy:
KE = (1/2) * m * v^2
The mass of 1 mole of hydrogen is given by the molar mass of hydrogen (2.016 g/mol), so the mass of a mole of hydrogen is 2.016 g.
So we can calculate the velocity as:
KE = (1/2) * m * v^2
v = sqrt(2* KE/m)
v = sqrt(2* 1.50 x 10^4 J / 2.016 g) = 3.41*10^3 m/s
Therefore, a mole of hydrogen would have to move at a velocity of approximately 3.41*10^3 m/s so that the kinetic energy of the mass as a whole would be equal to the total random kinetic energy of its molecules at a temperature of 300 K.
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you and a friend launch waves at opposited ends of the stretched string after class. you shake the string at 5 hz with a 15 cm amplitude, and your mellow friend shakes the other end at 2 hz with a 10 cm amplitude. what is the largest (most positive) displacement in cm of the string at any point at any time?
The highest and most positive movement of the string, in cm, is always 25 cm.
What, exactly, is displacement?A transition in an object's motion is referred to as displacement. It has a magnitude and the direction and is a vector quantity. An arrow going from the starting point to the finishing point serves as its symbol .An object's position changes, for example, if it moves from position A to position B.
What are displacement and velocity?Displacement is the vector shift between an object's starting and ending coordinates. It's possible that the distance this same thing has traveled is significantly different from that. Velocity is the rate at which displacement changes over time
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A small body A starts sliding from the height h down an inclined groove passing into a half-circle of radius h/2 (figure shown above). Assuming the friction to be negligible, find the velocity of the body at the highest point of its trajectory (after breaking off the groove).
When body A slides down the inclined groove, it gains potential energy due to its height, which is converted into kinetic energy as the body moves down. The body will continue to gain kinetic energy as it slides down the half-circle due to the conservation of energy.
The velocity of the body at the highest point of its trajectory can be calculated by using the conservation of energy principle. The initial potential energy of the body at height h is converted into kinetic energy as the body moves down. At the highest point of its trajectory, the kinetic energy is equal to the initial potential energy.
Initial potential energy = mgh (where m is the mass of the body and g is the acceleration due to gravity)
Kinetic energy = 1/2 * m * v^2 (where v is the velocity of the body)
The velocity of the body at the highest point of its trajectory can be calculated by equating the initial potential energy and the kinetic energy, and solving for v:
mgh = 1/2 * m * v^2
v^2 = 2gh
v = √(2gh)
Therefore, the velocity of the body at the highest point of its trajectory is √(2gh).
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Are there components of the velocity that are not determined by the measurement of the force? Constants A particle with charge 5.60 nC is moving in a uniform magnetic field B = 1.26 T )k The magnetic force on the particle is measured to be F = 3.60*10 - N)i+ 7.60*10"= N)j: yes Submit Request Answer Part B This question will be shown after you complete previous question(s): Part C This question will be shown after you complete previous question(s). Part D Calculate the scalar product U AZd B3 U . F = m/s . N Submit Request Answer Part E What is the angle between U and Give your answer in degrees AZd'
Yes, there are components of the velocity that are not determined by the measurement of the force.
What is velocity?
Velocity is a vector quantity that describes the rate of change of an object's position in a specific direction. It is defined as the displacement (change in position) of an object per unit time. The units of velocity are typically meters per second (m/s) or kilometers per hour (km/h). Velocity can also be represented by a vector arrow pointing in the direction of motion, with the magnitude of the arrow representing the speed of the object.
Yes, there are components of the velocity that are not determined by the measurement of the force. This is because the force experienced by a charged particle in a magnetic field is perpendicular to the velocity of the particle. So, the force measurement only provides information about the component of the velocity that is perpendicular to the direction of the magnetic field. The other component(s) of velocity, which is parallel to the magnetic field, cannot be determined from the force measurement alone.
To calculate the scalar product U dot B, you would need to know the velocity vector U. Without this information, it is not possible to calculate the scalar product.
The angle between U and B can be calculated using the formula:
theta = acos((U dot B) / (|U| x |B|))
where theta is the angle in degrees, U dot B is the dot product of the vectors U and B, and |U| and |B| are the magnitudes of the vectors U and B respectively.
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the height of the mercury column in a barometer reads 725 mm. how will the height of the mercury column change when the atmospheric pressure decreases?
The height of mercury in the tube decreases when the atmospheric pressure decreases. Since, pressure s directly proportional to height change in barometer.
What connection exists between height and atmospheric pressure?Since the two are inversely related, air pressure lowers as elevation rises. This is a result of the volume of air that is now surrounding you at your elevation. There is more air above you and therefore more pressure when you are at a lower level.
What are the uses of a barometer?An instrument known as a barometer is used to measure atmospheric pressure, also known as barometric pressure. The air layers that surround Earth are known as the atmosphere. As gravity drags that air to Earth, it exerts pressure on everything it touches. This pressure is measured using barometers.
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if the pressure is doubles and the temperature is held constant what will happen to the volume of a gas?
The volume of a gas will decrease by half if the pressure is doubled while the temperature remains unchanged.
Boyle's Rule
The volume is inversely proportional to the pressure for a fixed mass of gas at a constant temperature.
That implies that, for instance, doubling the pressure will result in halving the volume. The volume will decrease ten times as quickly as the pressure does.
This can be mathematically stated as pV = constant.
The number of moles, n, remains constant since the mass of the gas is fixed.
The gas constant, R, is a constant that never changes.
The constant state of the temperature is required by Boyle's Law.
Boyle's Law, which we just stated is a result of, states that everything on the right-hand side of the equation pV = nRT is constant, and as a result, pV is constant.
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a bright line spectrum contains a line with a wavelength of 518m. determine the wavelength in meters
The wavelength of the light is rise to to 518 ×10⁻⁹ m. The recurrence of the shinning line is break even with to 5.79 × 10¹⁴ Hz. The color of light is yellow within the obvious range.
What are recurrence and wavelength?
The recurrence can be depicted as the number of motions of a wave in one moment and has S.I. units of per moment or Hertz.
The wavelength can be illustrated as the separate between the two adjoining focuses in stage w.r.t each other and includes a unit of meters.
The relationship between recurrence (ν), wavelength (λ), and speed of light (c) can be composed as follows: c = νλ
Given, the wavelength of the line, λ = 518 nm = 518 ×10⁻⁹ m
The speed of light is rise to to: c = 3 × 10⁸ m/s
The recurrence of the shinning line can decide from the above-mentioned relationship:
ν = c/λ = 3×10⁸/ 518 ×10⁻⁹ = 5.79 × 10¹⁴ Hz
Therefore, the recurrence of the shinning line is break even with to 5.79 × 10¹⁴ Hz. The color of light is yellow within the unmistakable spectrum.
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