The valid hypothesis is If Earthquakes occur, then tornados could occur at the same time.
What is a hypothesis?
A hypothesis is an explanation proposed for a phenomenon. The scientific method needed a hypothesis to be testable in order to be considered a scientific hypothesis.Scientists usually base scientific hypotheses on previous observations that cannot be adequately explained by existing scientific theories.In an experiment, a hypothesis is used to illustrate the relationship between two variables.The goal of a hypothesis is to find an answer to a question. A formalized hypothesis forces us to consider what results we should expect from the experiment. The independent variable is the first variable.A valid hypothesis is that if an earthquake occurs, tornadoes may follow.To know more about hypothesis, click the link given below:
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a discus thrower (fig. p4.33, page 104) accelerates a w discus from rest to a speed of 25.0 m/s by whirling it through 1.25 rev. assume the discus moves on the arc of a circle 1.00 m in radius. (a) calculate the final angu- lar speed of the discus. (b) determine the magnitude of the angular acceleration of the discus, assuming it to be constant. (c) calculate the time interval required for the discus to accelerate from rest to 25.0 m/s.
(B) The magnitude of the angular acceleration of the discus is:
α = (ωf - ωi)/t = (7.85 rad/s - 0 rad/s)/1.25 rev = 6.28 rad/s^2 .
What is acceleration ?
Acceleration is the rate at which an object's velocity changes over time. It is measured in meters per second squared (m/s2). Acceleration can be either positive or negative depending on the direction of the change in velocity. Positive acceleration indicates an increase in velocity, while negative acceleration indicates a decrease in velocity.
Acceleration is the result of an applied force, such as gravity, friction, or thrust. It is also affected by the mass of an object, as well as the drag force caused by air resistance. Acceleration can be used to calculate the final velocity of an object after a period of time, as well as the distance traveled in that time. It is an important concept in the study of physics and engineering.
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in which position would you assist a woman to put her feet in the stirrups and to slide forward to position her buttocks near the edge of the table?
How would you help a woman get her feet into the stirrups and go forward till her buttocks were close to the edge of the desk Lithotomy The ideal setting for the
What in physics is position?
In physics, position refers to a thing looks location and is typically represented by an integer on an axes. Learn about vectors, real numbers, position-time networks, and how to plot a stance graph while exploring the definition and applications of position. Current: 11/05/2021 Position: Where are you at this moment? How many different ways can you respond to that?
What is something's initial position?
The origin of something is where it first began. An x-y graph's origin is the intersection of the two
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nitrogen . oxygen . reflects radio waves . amount of radiation reflected . amount of solar radiation reaching ground . carbon dioxide . absorbs ultraviolet rays
Nitrogen- 78% of atmosphere; oxygen- 21% of atmosphere; reflects radio waves- ionosphere; amount of radiation reflected- 40%; amount of solar radiation reaching ground- 40%.
What does the total radiation that a surface reflects have a name?Albedo, which is typically given as a percentage or a decimal value, is the amount of solar radiation that a surface reflects, with 1 being the ideal reflector and 0 completely absorbing all incoming light.
Detailed answer of the given question.nitrogen- 78% of atmosphere
oxygen- 21% of atmosphere
reflects radio waves- ionosphere
amount of radiation reflected- 40%
amount of solar radiation reaching ground- 40%
carbon dioxide- needed for photosynthesis
absorbs ultraviolet rays-ozonosphere
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a 1.02 nf parallel-plate capacitor is charged to an initial potential difference of 60 v and then isolated. the dielectric material between the plates has a dielectric constant of 4.8. how much work is required to withdraw the dielectric sheet? answer in units of j.
Energy change for the system = 5.0 10 5 J - 1.0 10 5 J = 4.0 10 5 J
The system's energy changed by the work done required to remove the mica sheet is 4.0 105 J.
What systemic work is being done?
In terms of physics, work is defined as being done on a system when a force is applied and the system suffers a displacement.
What is the system's work in thermodynamics?
Actions like compression, which also include shaft work, churning, and rubbing, are performed on a thermodynamic system by objects or systems nearby. Such compression-based work is characterized here as thermodynamic work.
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Help appreciated!!!
I need two paragraphs on the difference between day and night !!! Thank you!
Answer:
day have always sun light but night is full of dark with moon light
When a person blacks out, their hippocampus is unable to:
answer choices
a. record new memories
b. control muscular movement
c. keep them from making embarrassing decisions
d. regulate their blood pressure
When a person blacks out, their hippocampus is unable to record new memories.
In a region of the brain known as the hippocampus, our brain retains a short-term memory of the experience. Later, the memories are consolidated, or moved to a different region of the brain, where they will be stored for a longer period of time.
Alzheimer's disease normally starts by destroying neurons and the connections between them in the cortex and hippocampus, two regions of the brain essential in memory.
Later, it has an impact on the parts of the cerebral cortex that control language, thought, and social interaction. The majority of short-term memory is kept in the frontal lobe of the cerebral cortex.
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A dolphin in 25℃ sea water emits a sound directed towards the bottom of the ocean 150m below. How much time passes before it hears an echo?
(Take speed of sound in seawater at 25℃ = 1530 m/s)
Dolphin in 25℃ sea water emits a sound directed towards the bottom of the ocean 150m below time after which dolphin hears an echo t=d/v=300/1530=0. 196=0. 20s
How is echo distance calculated?
If the fisherman's sonar device receives an echo in 0.02 seconds and the speed of sound in water is 1500 meters per second (back and forth) it can signal that there are fish 15 meters based on equation d = v*t = 1500 meters per second * 0.02 seconds = 30 meters.
What is the value of echo?
To display data on a screen both of these are necessary the changes are meager printed has a return type of 1 while echo does not and print can be used in equations.
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A 20,000 kg rocket has a rocket motor that generates 3.0 x 10^5 N of thrust. a. What is the rocket's initial upward acceleration? b. At an altitude of 5.0 Km the rocket's acceleration has increased to 6.0 m/s^2.
What mass of fuel has it burned?
a. Rocket’s initial upward acceleration is 5.2m/s²
b. Mass of fuel has it burned is 1013 kg
Newton's second law of motion said :
∑F = m . a
The difference between the weight and the thrust will be the sum of force.
∑F = T - W
T - W = m x a
a = [tex]\frac{T - W}{a}[/tex]
From the question we know below information
m = 20000 kg = 2 x [tex]10^{4}[/tex]
T = 3.0 x [tex]10^{5}[/tex] N
W = m x g = 20000 x 9.8 = 1.96 x [tex]10^{5}[/tex] N
We just substitute the information above into the formula :
a = [tex]\frac{3.0 x 10^{5} - 1.96 x 10^{5} }{2 x 10^{4} }[/tex]
a = [tex]\frac{1.04 x 10^{5} }{2 x 10^{4} }[/tex]
a = 5.2 m / [tex]s^{2}[/tex]
So, rocket's initial upward acceleration is 5.2m/s²
(b) The mass of the fuel that burned can be calculated as follows:
T = [tex]m_{2}a + m_{2}g[/tex]
T = [tex]m_{2} ( a + g)[/tex]
[tex]m_{2} = \frac{T}{a+g} \\[/tex]
= [tex]\frac{3 x 10^{5} }{6 + 9.8}[/tex]
= 18987 kg
The mass of fuel = 20000 - 18987 = 1013 kg
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a certain 48 v electric forklift can lift up to 7000 kg at a maximum rate of 75 meters per minute. what is its power? round your answer to the nearest hundreds.
In this case the power is 703.8 kW and rounding to the nearest hundreds gives 700 kW.
What is power?
Power is the ability to influence or control people, events, and outcomes. It can be seen when one person or group is able to make decisions, set standards, and enforce boundaries. Generally, power is associated with authority, control, and influence; however, it can also refer to the capacity to do work or generate energy.
The power of the forklift can be calculated using the formula: Power = (Load x Velocity) / Time.
In this case, the power is (7000 kg x 75 m/min) / 1 min = 525,000 kg•m/min. Converting to watts, this is 525,000 kg•m/min / 746 = 703.8 kW.
Rounding to the nearest hundreds gives 700 kW.
In this case the power is 703.8 kW and rounding to the nearest hundreds gives 700 kW.
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Determine the time needed to pull the cord at B down 4 ft starting from rest when a force of 10 lb is applied to the cord. Block A weighs 20 lb. Neglect the mass of the pulleys and cords.
The time needed o pull the cord at B down 4 ft starting from rest is 0.249s .
What does a pulley's tension mean?At its two ends, tension is the pulling force applied to the object attached to its ends by the ropes at its ends. Tension is the pulling force put on the rope (or string, cable, or chain) on one side of the point by the rope on the other.
2Ta - Wa = ma a1
40-20 = 20 a1
a1 = 32.2 ft/s^2
a2 = -4 x 32.2
=> 128.8 ft /s^2.
s=ut + 1/2 a t^2;
u=0;
4= 0+ 1/2 x 128.8 x t^2
=> time t= 0.249 sec.
What is tension, exactly?The force imparted through a rope, string, or wire when both opposing forces strain on it is described as tension. The tension force draws energy proportionately on the objects at the ends and is applied along the entire length of the wire. Every physical object in contact with another one applies some force to that object.
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a model ship is built to a scale of 1 cm: 4 m. the length of the model is 40 cm. what is the length of the actual ship? a. 160 m c. 40 m b. 50 m d. 15
The length of actual ship, in accordance with the scale provided, is 160 meters, as stated in the question.
What is the length of length?Using measuring instruments like a yardstick, measuring tape, etc., one may determine the size of any item. A ruler can be used to estimate, for instance, how many centimeters a pencil is long. A foot scale can be utilized to gauge the height of each student in a class.
How big and thick are they?The distance between an object's sides is its length. The greatest dimension is this one. The width of an entity is the gap between its two sides. The smallest dimension is this one.
Length of scale = 4m
Length of model = 40cm
Length of actual ship = 400cm*40cm
= 160m
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a bar magnet is falling vertically through a horizontal loop of wire with the south magnetic pole entering the loop first. what is the direction of the induced current (viewed from above) as the south pole enters the loop? group of answer choices clockwise counterclockwise zero
The direction of the induced current as the south pole enters the loop is clockwise direction.
Induced current - what is it?If a conducting loop is subjected to a fluctuating magnetic field, a current can be induced in the loop. If a conducting loop is subjected to a fluctuating magnetic field, a current can be induced in the loop.
What are EMF and induced current?Current is the flow of electrons via a conductor in a closed circuit, whereas induced EMF is the change in potential difference brought on by a change in a coil's magnetic flux.
How can you tell which way an induced current is flowing?If the thumb and forefinger are pointing in the directions of the conductor's velocity and magnetic field, respectively, the center finger will point in the direction of induced current in the conductor.
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Karla, Matthew, Daneisha, Vince, and Sergio all have carts of different masses. In their lab, they each
apply a different amount of force to the carts, resulting in different accelerations. However, they did
not label their data table and are now trying to backtrack and identify all of their data.
Your task: using the clues below and your understanding of Newton's 2nd Law of Motion, help
each student determine the mass of their cart, the acceleration of their cart, and the force
they each gave to their cart.
What the students know: the carts had masses of 6kg, 4.5 kg, 9kg, 10 kg, and 12 kg and accelerations
of 5 m/s², 3 m/s², 2 m/s², 4 m/s², and 2.5 m/s².
Clues:
1. Karla's cart is half the mass of Daneisha's.
2. Vince's cart's mass is neither the smallest nor the largest.
3. The mass of Sergio's cart is greater than Vince's.
4. Daneisha's acceleration was half of Sergio's
5. The force Vince applied to his cart was larger than Matthew's.
6. Matthew's acceleration was greater than Vince's.
7. Karla applied less than 18 N of force.
8. Sergio applied more than 40 N of force.
9. Daneisha's force was greater than 27 N.
10. Vince's acceleration was greater than Daneisha's.
11. Karla had less acceleration than Vince.
12. Karla applies the least amount of force.
13. Vince's cart had twice the mass of Matthew's.
The mass of Karla's cart by Newton's second law on applying force will be 12 kg.
What does Newton's second law mean?A detailed explanation of how a force can alter a body's motion is given by Newton's second law. According to this, a body's momentum changes at a rate that is equal to the force acting on it over time in both magnitude and direction.
We know that according to Newton's second law force=mass×acceleration
Now the force needed to push Danielle's cart is 15N.
So, Danielle's car mass is-
In light of the fact that Karla's cart is twice as heavy as Danielle's, Karla's cart's mass can be calculated by multiplying 6 by 2.
So, the mass of Karla's cart is =2×6=12kg.
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A latent function is the intended and recognized consequence of some element of society. Please select the best answer from the choices providedT/F
The statement is False.
A latent function is the unintended and unrecognized consequence of some element of society. It is the hidden or unconscious benefit or outcome that results from an action or element of society, rather than the intended or recognized consequence.
An example of a latent function of going to school is that it allows children to socialize with their peers and learn how to interact with others. While this is not the intended or recognized consequence of going to school, it is a benefit that results from it.
On the other hand, Manifest functions are the intended and recognized consequence of some element of society.
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The current through the 3 Ω resistor is A. 6 A B. 5 A C. 3 A D. 1 A 3Ω
The current through resistor of 3 ohm is currently receiving 3 A of current. It can be calculated by Ohm's Law.
It can be calculated by Ohm's Law which states that the current through a resistor is equal to the voltage across the resistor divided by the resistance. Since the resistance is given as 3 Ω, and if we assume that the voltage across the resistor is also 3 V, then the current through the resistor would be 3 A (3 V / 3 Ω = 1 A).
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As the temperature of a metallic conductor increases its resistance usually
Answer :
[tex] Hence \ resistance \ increases \ with \\ increase \ in \ the \ temperature. [/tex]
5.what is one thing scientists can learn from studying the paleomagnetism on the ocean floor? * 1 point the cause of the magnetic pole reversals the exact location of the next earthquake the speed of the plates moving away from each other when the next magnetic reversal will take place
We can find out more about the Earth's innards, this geodynamo, or even follow the movements of the continents over time (plate tectonics), as well as the age of rocks and where they developed.
Describe the dynamo.A dynamo is a type of electric generator that uses a commutator to produce a conducting current. A dynamo produces an electric current or power from of the rotating of the coil by using the electromagnetic rules.
What purpose does a dynamo serve?The dynamo's job is to convert mechanical energy into electrical energy. The dynamo's control gear adjusts the current output based on the demands placed on the electrical system and the battery's condition.
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A particle is located at coordinates x = 2.0 m, y = 3.0 m. What is the magnitude of the torque about the origin when the particle is acted upon by a force of magnitude 5.0 N in (a) the positive x direction, (b) the positive y direction, and (c) the negative x direction?
The positive x direction is 0 Nm, positive y direction is 10 Nm, negative x direction is 0 Nm.
What is torque?The torque, also known as the moment of force, is given by the cross product of the position vector (r) and the force vector (F).
The magnitude of the torque is given by the magnitude of the cross product, which is equal to the product of the magnitudes of the vectors (r and F) multiplied by the sine of the angle between them.
In the case of (a) positive x direction, the torque about the origin is given by:
τ = r x F = (2.0 m) x (5.0 N) x sin(90°) = 3.0 m x 5.0 N = 0 Nm.
In the case of (b) positive y direction, the torque about the origin is given by:
τ = r x F = (3.0 m) x (5.0 N) x sin(90°) = 2.0 m x 5.0 N = 10 Nm.
In the case of (c) negative x direction, the torque about the origin is given by:
τ = r x F = (2.0 m) x (-5.0 N) x sin(90°) = 3.0 m x 5.0 N = 0 Nm.
So, the positive x direction is 0 Nm, positive y direction is 10 Nm, negative x direction is 0 Nm.
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Can anyone help please
The combined resistance of the circuit is 300 ohms and the current in the circuit is 0.01A.
What do you mean by circuit?A closed loop in which electrons can move called a circuit. Electricity is supplied to the circuit by an electricity source, such as a battery. No electrons will move till the circuit is finished, that is, it goes full circle back to the electrical source.
The combined resistance of the circuit can be calculated by adding the individual resistances in series: 100 ohms + 200 ohms = 300 ohms.
To calculate the current in the circuit, you can use Ohm's Law, which states that current (I) equals voltage (V) divided by resistance (R):
I = V / R
In this case, the voltage is 3.0 V, and the resistance is 300 ohms.
So, I = 3.0 V / 300 ohms = 0.01 A or 10mA.
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consider two particles, particle a, and particle b, that both have the same mass, but for which the speed of particle a is twice that of the speed of particle b, . what is the ratio of the kinetic energy of the two particles, ?
The ratio of the kinetic energy of the two particles is 4:1
What is kinetic energy?
A type of energy known as kinetic energy is connected to an object's motion. It is the energy that an object possesses as a result of its motion. Kinetic energy is directly related to the mass of the object and its velocity. The kinetic energy of an object is calculated by multiplying half of the mass of the object by the square of its velocity.
The formula for kinetic energy is KE = ½ mv2, where m is the mass of the object and v is the velocity of the object. Kinetic energy is a form of energy that is transferable; it can be transferred from one object to another. This can be seen when two objects collide with each other and energy is transferred from one object to the other.
The Kinetic energy = 1/2m v²
Given Mass is same, so we get rid of mass
v₁² ∝ v₂²
(2a)² ∝ (a)²
4a² ∝ a²
4:1
Thus, the ratio of the kinetic energy of the two particles is 4:1.
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To keep your vehicle from rolling into the street when parking downhill on the right with a curb, set the parking brake after
Answer:
Below
Explanation:
....after turning the wheels to face into the curb
when in a raceway with not more than three current-carrying conductors, how many amperes can a 10 awg thw carry continuously?
30A current can a 10 awg thw carry continuously.
How many conductors that can transport electricity can you fit in a conduit?The NEC mandates that you derate the conductor's capacity for any number of conductors beyond three, even though it permits up to 16 current-carrying THHN conductors in such a conduit. The derating is not substantial until there are more than nine conductors.
When more than three current-carrying conductors are installed in one raceway their ampacities must be reduced according to NEC?When installing more than three current-carrying conductors in a single raceway, cable, or covered ditch, the ampacity of each conductor must be decreased in accordance with the relevant adjustment factor.
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Capacitor 2 has half the capacitance and twice the potential difference as capacitor 1.
What is the ratio Uc1/Uc2.
Where would I start with this problem and what equation would I use?
You can start the problem by using the formula for capacitance, C = Q/V, where C is the capacitance, Q is the charge stored on the capacitor, and V is the potential difference across the capacitor.
What are capacitors?A capacitor is a passive electrical component that stores electrical energy in an electric field. It consists of two conductive plates, separated by an insulating material called the dielectric. When a voltage is applied across the conductive plates, an electric field is created, which stores energy in the dielectric. The ability of a capacitor to store electrical energy is measured in farads (F).
Given that Capacitor 2 has half the capacitance and twice the potential difference as Capacitor 1, you can express the capacitance and potential difference of Capacitor 2 in terms of those of Capacitor 1.
C₂ = 1/2 × C₁ V₂ = 2 × V₁
You can use these equations to find the ratio of the stored energy in the two capacitors. The stored energy in a capacitor is given by the formula U = 1/2CV², where U is the stored energy, C is the capacitance, and V is the potential difference.
Uc1 = 1/2C₁V₁² Uc2 = 1/2C₂V₂²
By substituting the values of C₂ and V₂ in terms of C₁ and V₁, you can find the ratio of the stored energy in the two capacitors:
Uc1/Uc2 = (1/2C₁V₁²) / (1/2×(1/2C₁) (2V₁) ²) Uc1/Uc2 = 1/8
The ratio of stored energy in the two capacitors is 1/8.
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A house uses solar cells that generate 1.5 kw of electrical power to supply some of its energy needs. if the solar panels supply the house with 40 percent of the power it needs, how much power does the house use?
The electric power that the house use is 3.75kW.
According to the question, a house use solar cell that gives 1.5kW of electric power and the solar panels supply the house with the 40% of the power it need.
Voltage, or the potential of a charge to produce energy, and current, or the flow of electric charge, are the two main components of electric power. Any ratio of current and voltage values can provide a given amount of power.
Let there is x kW power that the house use.
Now it is given that 40% of the power is supplied that means
40% of x=1.5
x=[tex]\frac{(1.5)(100)}{40}[/tex]
x=3.75kW
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4) a child in a tree house uses a rope attached to a basket to lift a 22 n dog into the house with a work done of 103.4 j. how far did the child lift the dog?
The distance up to where the child lift the dog into the house with a work done of 103.4 j is found to be 4.7 m.
What is the straightforward meaning of distance?An object's distance is its overall motion, regardless of direction. The length of time that an object has traveled, regardless of where it started or ended, is referred to as distance.
The work done by a force is equal to:
W = Fd
where,
W is the work
F is the force applied
The force is exerted over the distance (d).
For our case, the mass of the dog is equivalent to the force required to hoist it:
F=22 N
and the work done by the child to lift the dog is 103.4 j.
To calculate the distance is:
W = Fd
d = W / F
= 103.4 / 22
= 4.7 M
Therefore , the dog is moved through a distance of 4.7 m
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if the bob's mass is doubled, approximately what will the pendulum's new period be?
The pendulum's new time period is T.
A simple pendulum is made composed of a bob dangling at the end of a string that is so light that it is thought to be massless. As an illustration of a conservative oscillatory system, it is used. This idealized pendulum is made up of a point mass m fixed to one end of a massless rod of length L.
The formula for calculating a basic pendulum's
T= 2π√(L/g)
time period takes into account its length, acceleration from gravity, and time period (T). The time period is unaffected by changes in the bob's mass because this formula is mass-independent. As a result, T will continue to be the new time period. Nothing has changed.
Your question is incomplete but most probably your full question was
A simple pendulum consisting of a bob of mass m attached to a string of length L swings with a period T. If the bob's mass is doubled, approximately what will the pendulum's new period be?
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two 3.8 g bullets are fired with speeds of 42.4 m/s and 62.1 m/s, respectively. a) what is the kinetic energy of the first bullet? answer in units of j.
The second one, which has more mass, will have more KE. Explanation: We are aware that KE = E=12mv2 where m Represents mass & v = movement velocity.
What does velocity vs. speed mean?As contrasted to speed, velocity describes the speed and direction of an object's motion because it travels along a path. So speed seems to be a scalar quantity, however velocity is a vector.
Why does velocity formula exist?According to the equation v = s/t, velocity (v) is a scalar quantity that quantifies displacement (or a shift in position, s), over change in time (t).
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lee pushes horizontally with a force of 71 n on a 24 kg mass for 15 m across a floor. calculate the amount of work lee did. answer in units of j.
lee pushes horizontally with a force of 71 n on a 24 kg mass for 15 m across a floor. calculate the amount of work lee did.
The amount of work done by Lee is: W = 71 N * 15 m = 1065 J.
What is work done?Work done is a term that describes the amount of energy expended in performing a task or activity. It is calculated by multiplying the force applied to an object with the distance that the object is moved. Work done is measured in units of joules (J), where 1 joule is equal to the work done when a force of one newton is applied over a distance of one meter. Work done is an important concept in physics and engineering, as it is used to calculate the amount of energy transferred or transformed in a process.
The amount of work done by Lee is calculated using the formula W = F * d, where F is the applied force and d is the displacement.
Therefore, the amount of work done by Lee is: W = 71 N * 15 m = 1065 J.
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Unlike a roller coaster, the seats in a Ferris wheel swivel so that the rider is always seated upright. An 80-ft-diameter Ferris wheel rotates once every 24 s.
A. What is the apparent weight of a 90 kg passenger at the lowest point of the circle?
Express your answer with the appropriate units.
B. What is the apparent weight of a 90 kg passenger at the highest point of the circle?
Express your answer with the appropriate units.
The apparent weight of the passenger at the lowest point is 90 kg and at the highest point it changes due to the centrifugal force.
What is centrifugal force?
The centrifugal force is an apparent force that is observed in a rotating reference frame. It is the force that appears to push objects away from the center of rotation. It is not a real force, but rather a pseudo-force that is caused by the inertia of an object in motion. In other words, it is the inertia of an object that makes it appear as if there is a force pushing it away from the center of rotation.
A. At the lowest point of the circle, the rider is at the bottom of the Ferris wheel and moving at the same velocity as the wheel. Therefore, the apparent weight of the passenger is equal to the true weight, which is 90 kg.
B. At the highest point of the circle, the rider is at the top of the Ferris wheel and is moving at a slower velocity than the wheel. Therefore, the apparent weight of the passenger is less than the true weight. This effect is known as the centrifugal force. The formula for the apparent weight at the top of the Ferris wheel is:
Apparent weight = True weight x (1 - (v^2/r^2))
where v is the velocity of the Ferris wheel and r is the radius of the Ferris wheel.
In this case, the velocity of the Ferris wheel is (2πr)/T = (2π40ft)/24s = 4.71 ft/s
The radius of the Ferris wheel is 40ft
So, the apparent weight of a 90 kg passenger at the highest point of the circle is:
90 kg x (1 - (4.71^2 / 40^2)) = 90 kg x (1 - 0.12) = 90 kg x 0.88 = 79.2 kg.
Therefore, due to centrifugal force the apparent weight of the passenger at the highest point of the circle is 79.2 kg.
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you are at the bank of a still river that is 100 m wide. a friend is standing on the opposite side of the river 300 m directly north of the point directly across from where you are. you plan to swim across the river then run along the opposite bank. if you can swim 3 meters per second and run 5 meters per second, then to what point should you swim to minimize your time?
To minimize your time to reach your friend, you should swim to the point directly across from your current position and then run along the opposite bank.
This is because the time you would take to swim to any other point along the opposite bank would be the same (100m / 3m/s = 33.33s) but the distance you would run would be different, and thus the time running would be different.
The time taken to run along the opposite bank is 300m / 5m/s = 60s. So the total time taken to reach your friend would be 33.33s + 60s = 93.33s.
This is the fastest way to reach your friend since you are taking the shortest path which is directly across the river and running along the opposite bank.
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