a)The normal force on the luggage cart will be 305.85 N
b)The force would Tony needs to apply at a 30° angle to pull the luggage cart willl be 375 N.
What is the friction force?It is a type of opposition force acting on the surface of the body that tries to oppose the motion of the body. its unit is Newton (N).
it is defined as the product of the coefficient of friction and normal reaction.
On resolving the given force and acceleration. Mathematically aion in the different components and balancing the equation gets.Components in the x-direction.
Given data;
The angle of pulling with horizontal. = 30°
Mass of luggage cart=35 kg
Pulling force= 75 N
The force in the y-direction;
N+Fsin30° = mg
N+75 sin 30° = 35 × 9.81
N=305.85 N
The force would Tony need to apply at a 30° angle to pull the luggage cart completely off the ground;
N-mg=Fsin30
Fsin30=75 sin 30
Fsin30=375 N
Hence the normal force on the luggage cart and force would Tony need to apply at a 30° angle to pull the luggage cart willl be 305.85 N and 375 N.
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A student drops a water balloon out of a dorm window 17 m above the ground. What is its speed when it hits the ground?
Differences between freezing point and melting point (Atleast 5 differences)
Answer:
What is freezing point?
A liquid's freezing point is determined at which it turns into a solid. Corresponding to the melting point, the freezing point often rises with increasing pressure. In the case of combinations and for some organic substances, such as lipids, the freezing point is lower than the melting point. The first solid which develops when a combination freezes often differs in composition from the liquid, and the development of the solid alters the composition of the remaining liquid, typically lowering the freezing point gradually. Utilizing successive melting and freezing to gradually separate the components, this approach is used to purify mixtures.
What is melting point?
The temperature at which a purified substance's solid and liquid phases may coexist in equilibrium is referred to as the melting point. A solid's temperature goes up when heat is added to it until the melting point is achieved. The solid will then turn into a liquid with further heating without changing temperature. Additional heat will raise the temperature of the liquid once all of the solid has melted. It is possible to recognize pure compounds and elements by their distinctive melting temperature, which is a characteristic number.
The difference between freezing point and melting point:
While a substance's melting point develops when it transforms from a solid to a liquid, a substance's freezing point happens when a liquid transforms into a solid when the heat from the substance is removed.When the temperature rises, the melting point can be seen, and when the temperature falls, the freezing point can be seen.When a solid reaches its melting point, its volume increases; meanwhile, when a liquid reaches its freezing point, its volume decreases.While a substance's freezing point is not thought of as a distinctive attribute, its melting point is.While external pressure is a significant component in freezing point, atmospheric pressure is a significant element in melting point.Heat must be supplied from an outside source in order to reach the melting point for such a state shift. When a material is at its freezing point, heat is needed to remove it from the substance in order to alter its condition.Reference: Berry, R. Stephen. "When the melting and freezing points are not the same." Scientific American 263.2 (1990): 68-75.
A spring with constant 185 N/m is compressed 1.38 m with a mass of 0.53 kg. How fast is it going 2.5 m above the ground?
The velocity 2.5 m above the ground will be 49.07 m/sec.
What is spring force?
The force required to extend or compress a spring by some distance scales linearly concerning that distance is known as the spring force. Its formula is;
F = kx
The formula for force is;
F=ma
Equating both the equation;
ma = kx
a=kx/m
a=( 185 N/m × 1.38 m) / 0.53
a = 481.6 m/s²
The speed is found by Newton's third equation of motion;
v²=u²+2as
v²=0+2as
v²=2 × 481.6 m/s² × 2.5 m
v = 49.07 m/sec
Hence the velocity 2.5 m above the ground will be 49.07 m/sec.
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Angela has a bucket of mass 2 kg tied to a string. She places a drinking glass of mass 0.5 kg in the bucket. She spins the bucket in a vertical circle of radius 1.5 m. You want to find out how fast she must swing the bucket to keep the glass from falling out.
a. Draw the free-body diagram for the glass when it is at the top of the circle.
b. What is the equation for the net force on the glass at the top of the circle in terms of w, FN, m, v, and r?
c. The glass will fall out of the bucket if the normal force between the glass and bucket equals zero. How fast must she spin the bucket to prevent this from happening?
d. The string will break if the tension on it is more than 100 N. Over what range of speeds can she keep the glass in the bucket and prevent the string from breaking?
a. The free-body diagram for the glass when it is at the top of the circle is attached below.
b. The equation for the net force on the glass at the top of the circle in terms of w, Fn, m, v, and r is mg x g + N - mg x Vtop² /R =0
c. The glass will fall out of the bucket if the normal force between the glass and bucket equals zero. The speed with which she spin the bucket to prevent this from happening is 3.83 m/s.
d. The string will break if the tension on it is more than 100 N. The range of speeds can prevent the string from breaking is 3.83< Vtop<4.99 m/s
What is Net force?When two or more forces are acting on the system of objects, then the to attain equilibrium, net force must be zero.
Given, Angela has a bucket of mass 2 kg tied to a string. She places a drinking glass of mass 0.5 kg in the bucket. She spins the bucket in a vertical circle of radius 1.5 m. She must swing the bucket to keep the glass from falling out.
a. The free body diagram of the bucket and glass is attached below.
b. Bucket will undergo centrifugal force
Fb = mVtop² /R
From the equilibrium of forces, we have
For bucket,
T +mb xg - N = mb x Vtop² /R..............(1)
For glass,
mg x g + N = mg x Vtop² /R..............(2)
Thus, this is the net force equation on the glass.
c. On adding both the equations. we have
T + (mb + mg) xg = (mb + mg) Vtop² /R
Substituting the values, T = 0 and from the question, we get
0 + (2+0.5) 9.81 = (2+0.5)(Vtop²/0.5)
Vtop = 3.83 m/s
Thus, the speed of spin to prevent glass from falling out is 3.83 m/s
d. The string will break if the tension on it is more than 100 N
100 + (2+0.5) 9.81 = (2+0.5)(Vtop²/0.5)
Vtop = 4.99 m/s
Thus, the range of velocity is 3.83< Vtop<4.99 m/s
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3.Shanai drove 40 miles to the west, then turned around and drove 70 miles to the east.
Draw vectors that show each segment of her trip and the resultant displacement vector. Find
her resultant displacement.
Answer:
Explanation:
Comment
The main points are that
The arrowheads go in opposite directionsDisplacement is measured from the origin to the arrowhead of the last vector correctly drawn.the tail of the second vector starts where the arrowhead of the first vector is.Solution
40 miles west
<========================== 0
=====================================================>
Displacement (30 km east)
Answer
30 km east
If a BASEBALL is traveling in projectile motion, in what direction is it going?
The direction the BASEBALL which is traveling in projectile motion is going is called a parabola.
What is projectile motion?Projectile motion is the motion of an object launched into the air at an angle to the horizontal and allowed to fall freely under the effect of gravity.
The object is known as a projectile, and the path of motion is a curved path called a parabola.
Therefore, the direction the BASEBALL which is traveling in projectile motion is going is called a parabola.
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A charge of 5.67 x 10^-18 C is placed 3.5 x 10^-6 m away from another charge of -
3.79 x 10^-19 C. What is the force of attraction between them?
A farenhights thermometer shaded from the sun to a hot day reads 101 degree what is the temperature of dry ice -80degree celcuis on the farenhights scale
Dry ice is cold, extremely cold. Ice has a surface temperature of -109.8 degrees Fahrenheit or -78.5 degrees Celsius (197.85 Kelvins).
-109.8 Fahrenheit is the sublimation temperature of dry ice on the surface where ice meets with its surrounding atmosphere(Air).on the inside it can be even colder. Due to these temperatures, its management requires extreme care.The surface temp of dry ice is much colder than the lowest temperature any average person would encounter in their lifetime. The coldest temperature ever recorded in the contiguous US is 40 degrees warmer than it. But it is also worth noting that the lowest temperature ever reliably recorded on Earth (at the Soviet Vostok Station in Antarctica) is around 20 °F below what solid CO2 is.hence, Ice has a surface temperature of -109.8 degrees Fahrenheit
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When does astrons form?
Answer:
don't exist
Explanation:
In what direction does an omnidirectional antenna radiate radio frequency (rf) energy?
An omnidirectional antenna radiates radio frequency (rf) energy equally in all directions around its axis.
What is omnidirectional antenna?An omnidirectional antenna is an antenna which radiates radio frequency (rf) energy equally in all directions around its axis.
Radio frequency energy is a form of electromagnetic radiation.
An antenna receives as well as sends out radio frequency energy.
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A book with a mass of 1.2 kg sits on a bookshelf. if it has a gravitational potential energy of 50 j, how high is the shelf? the acceleration of gravity is 9.8m/s^2
Answer:
h = 4.25 m
Explanation:
[tex]gravitational \space\ potential \space\ energy \space\ (gpe)= m g h\\[/tex] ,
where m is the mass, g is acceleration of gravity, and h is height of object.
In our case, m = 1.2 kg, g = 9.8m/s², and gpe = 50 J.
50 = 1.2 x 9.8 x h
h = 50 / (1.2 x 9.8)
h = 4.25 m
Answer:
4.25m
Explanation:
Joules is a "derived unit", meaning it is really composed of other units, and it is just abbreviated as a single letter.
[tex]1[J]=1 [\frac{kg \cdot m^2}{s^2}][/tex]
This comes from the formula for potential energy, often denoted "U"
[tex]U=mgh[/tex], where m is the mass of the object (measured in kilograms, [tex]kg[/tex]), g is the acceleration due to gravity at that spot (measured in meters per second squared, [tex]\frac {m}{s^2}[/tex]), and h is the height of the object (measured in meters, [tex]m[/tex]).
Note: The object itself may or may not have an acceleration of "g" at the given point because it may be supported (like on a bookshelf). However, the "g" is representative of its gravitational acceleration at that point if gravity could accelerate it unimpeded.
Rearranging the potential energy equation to isolate the unknown "h", dividing both sides by "m" and "g", we get the following:
[tex]\dfrac{U}{mg}=h[/tex]
Substituting known values (and rewriting Joules as its SI units so we can ensure units cancel the way we need them to):
[tex]\dfrac{\left (50 [\frac{kg \cdot m^2}{s^2}] \right)}{(1.2 [kg])(9.8 [\frac{m}{s^2}])}=h\\\dfrac{\left (50 [\frac{kg \!\!\!\!\!\!\!{--} \cdot m^{2 \!\!\!{-}}}{s^2\!\!\!\!\!\!\!{--} }] \right)}{(1.2 [kg \!\!\!\!\!\!\!{--} ])(9.8 [\frac{m\!\!\!\!\!\!\!{--} }{s^2\!\!\!\!\!\!\!{--} }])}=h\\\dfrac{(50)}{(1.2)(9.8)}[m]=h\\\\4.2517[m] \approx h[/tex]
Thus, the height of the book would be approximately 4.25meters high.
this stationary wave is what we call the first harmonic of the first normal mode of the system. in units of l, the length of the wire, what is λ1, the wavelength of the first harmonic?
The wavelength of the first harmonic of the standing wave is 2L.
What is a standing wave?A standing wave is one in which the obvious points remain fixed as the vibration continues. A standing wave occurs in a wind instrument such as a trumpet, saxophone etc.
We know from the formula of the first harmonic that the wavelength of the first harmonic of the standing wave is 2L.
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which statement is a scientific theory
A.most cells are so small that they can be observed only through a microscope
B.the interactions between cells can be predicted with mathematical equations
C.The various functions of different types of cells can be determined by experiments
D.cells are fundamental units of all living organisms
Most cells are so small that they can be observed only through a microscope is a scientific theory. Option A is correct.
What is a scientific theory?A well-considered explanation for observations of the natural world that has been developed through the scientific method and that combines numerous facts and hypotheses is known as a theory.
A scientific hypothesis states that most cells are so tiny that a microscope is the only way to see them.
Hence option A is correct.
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if anyone knows momentum can you explain it? the khan academy problems are literally killing me
The body's mass and velocity are multiplied to create momentum. It happens as a result of the force used. Kg m/s² is its unit. Measurement of mass in motion is momentum.
What is momentum?The body's mass and velocity are multiplied to create momentum. It happens as a result of the applied force and has the unit Kg-m/s².
Equal amounts of force and momentum are applied. More quantitative than the first rule of motion, the second law of motion is usually used to describe what happens when a force is applied.
The momentum is found as;
P =mv
Where m is the mass in kilogram
v is the velocity in m/sec
P is the momentum in the kg-m/s²
The second law of motion is more quantitative, and it is frequently used to quantify what occurs when a force is applied. The second law of Newton is discussed in depth in this article.
Force and the rate of change of momentum are equal. The force is given as the product of mass and change of velocity. The impulsive force is given by the change in momentum.
I=ΔP
Hence, the body's mass and velocity are multiplied to create momentum.
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The pendulum below swings in periodic motion between point A and point B. At which point does the pendulum have the least potential energy?
The pendulum have the least potential energy at the point C between point A and B because it is lower in height as compared to other points.
What is potential energy?Potential energy is the energy held by an object because of its position. If the object is present at a certain height, it has more potential energy as compared to object which is lower in height.
So we can conclude that the pendulum have the least potential energy at C point that is between point A and B.
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A student hears a police siren. What would change the frequency that the student hears? check all that apply
Considering the Doppler efect, the frequency heard by the student would change if:
if the student walked toward the police car.if the student walked away from the police car.if the police car moved toward the student.if the police car moved away from the student.Doppler effectThe Doppler effect is defined as the change in the apparent frequency of a wave produced by the relative motion of the source with respect to its observer. In other words, this effect is the change in the perceived frequency of any wave motion when the sender and receiver, or observer, move relative to each other.
The following expression is considered the general case of the Doppler effect:
[tex]f'=f\frac{v+-vR}{v-+vE}[/tex]
Where:
f', f: Frequency perceived by the receiver and frequency emitted by the transmitter, respectively. Its unit of measurement in the International System (S.I.) is the hertz (Hz), which is the inverse unit of the second (1 Hz = 1 s⁻¹)v: Wave propagation speed in the medium. It is constant and depends on the characteristics of the medium. In this case, the speed of sound in air is considered to be 343 m/s.vR, vE: Receiver and transmitter speed respectively. Its unit of measure in the S.I. is the m/s±, ∓:We will use the + sign:In the numerator if the receiver approaches the senderIn the denominator if the sender moves away from the receiverWe will use the - sign:In the numerator if the receiver moves away from the senderIn the denominator if the sender approaches the receiverIn summary, the Doppler Effect is an alteration of the observed frequency of a sound due to the movement of the source or the observer, that is, they are changes in the frequency and wavelength of a wave due to the relative movement between the wave source and the observer.
Changes on the frequencyIn this case, considering the Doppler effect, the frequency heard by the student would change if:
if the student walked toward the police car.if the student walked away from the police car.if the police car moved toward the student.if the police car moved away from the student.Learn more about Doppler effect:
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Help please help! Need help
Answer:
M. Magnetism is a property of individual atoms.
Explanation:
when a magnet is broken into pieces the new pieces behave like the original magnet this observation shows that magnetism is the property of individual atoms.
what is the gravitational field strength at a distance of 60.0 km above the surface of the earth
Answer:
g=9.64m/s^2.
Explanation:
Gravitational field strength (in other words, gravitational acceleration) is given as follows:g=GMR2g=R2GMwhere G=6.674×10−11m3kg⋅s2G=6.674×10−11kg⋅s2m3 is the gravitational constant, M=5.972×1024kgM=5.972×1024kg is the mass of the Earth, and R=6.371×106m+0.06×106m=6.431×106mR=6.371×106m+0.06×106m=6.431×106m is the distance from the center of the Earth to the required point above the surface (radius plus 60 km).
G = 9.4 m/s²
What is gravitational acceleration?Gravitational acceleration (symbolized g) is an expression used in physics to indicate the intensity of a gravitational field.
It is expressed in meters per second squared (m/s²).
At the surface of the earth, 1 g is about 9.8 m/s 2 .
According to the question,
Gravitational field strength is given as follows:
[tex]g = \dfrac{GM}{R^2}[/tex]
Where[tex]G = 6.674\times 10^{-11}\dfrac{m^3}{kg\cdot s^2}[/tex] is the gravitational constant,
[tex]M = 5.972\times 10^{24}kg[/tex] is the mass of the Earth,
and [tex]R = 6.371\times 10^{6}m + 0.06\times 10^{6}m = 6.431\times 10^{6}m[/tex]
Here, m is the distance from the center of the Earth to the required point above the surface (radius plus 60 km).
Thus, obtain:
[tex]g = \dfrac{6.674\times 10^{-11}\cdot 5.972\times 10^{24}}{(6.431\times 10^{6})^2} \approx 9.64m/s^2[/tex]
g ≈9.64m/s 2
Therefore ,
The gravitational field strength is g = [tex]9.64m/s^2[/tex]
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.
What allows the electromagnet in a motor to rotate consistently in one
direction, transforming electrical energy into mechanical energy?
Hi!
Inside an electric motor, permanent magnets are set onto a ring surrounding a coil of wire. The communicater mother is what makes it spin
John walked from his home to work, it took him 12 min and the distance covered was 3 km. calculate the average speed in m/s
Answer:
4.167
Explanation:
ittravels 4.167metres per second
Every magnet must have what at its ends?
O A. A north pole and a south pole
OB. A positive charge and a negative charge
C. A positive charge and a north pole
OD. A south pole and another south pole
SUBE
Explanation:
The correct is A.
every magnet have two pole
4. Calculate the acceleration of a body which starts from rest and travels 87.5 m in 5sec.
matter falling into a black hole arranges itself in the shape of a ____.
Matter falling into a black hole arranges itself in the shape of a disk that is thick at the outer edge, thin along the inner ring.
What is black hole?A black hole is a region of space time where gravity is so strong that nothing or no particles or even electromagnetic radiation such as light can escape from it.
Thus, matter falling into a black hole arranges itself in the shape of a disk that is thick at the outer edge, thin along the inner ring.
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If a hyperpolarizing graded potential and a depolarizing graded potential of similar magnitudes arrive at the trigger zone at the same time, what is most likely to occur
The likely outcome when a hyperpolarizing and a depolarizing potential of similar magnitudes arrive simultaneously at the trigger zone is the cancellation of charges.
What is membrane action potential?Membrane action potential refers to differential electric charges within and outside of a given cell.
Hyperpolarization refers to a differential membrane potential of a cell associated with a negative charge, whereas depolarization is associated with a positive charge.
In conclusion, the likely outcome when a hyperpolarizing and a depolarizing potential of similar magnitudes arrive simultaneously at the trigger zone is the cancellation of charges.
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used to accurately measure the volume of solutions when adding a solid to be dissolved
To make the solute dissolve, thoroughly mix and add a little quantity of solvent after transferring the solute to a container
What is a solute?A solute is a material dissolved in another substance known as a solvent in a homogeneous mixture made of two or more components.
A solute's concentration in a solution is a measure of how much of that solute is dissolved in the solvent and the amount of solvent present, such as salt. Solutes are the best cleaning agents and additives.
Add a little quantity of solvent after transferring the solute to a container ideally a volumetric flask,
Which most precisely measures the volume of the solution indicated on the flask. To make the solute dissolve, thoroughly mix.
Hence the above process should be followed to dissolve, and thoroughly mix.
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Type the correct answer in each box. Round your answers to the nearest hundredth.
An illustration depicts a ball tied with a rope and hanged at a position labeled A. The ball is then pulled to a position labeled B with a height of 0 point 5 meters.
A ball with a mass of 1.5 kilograms is tied to the end of a rope. The ball is pulled to a height of 0.5 meters above the ground and released.
The ball has
joules of potential energy at position B. At position A, all of the energy changes to kinetic energy. The velocity of the ball at position A is
meters/second. Assume there’s no air resistance. Use g = 9.8 m/s2 , PE = m × g × h, and .
The velocity of the ball at position A is 3.13 m/s.Since all energy is converted to KE.
What is potential energy?The potential energy is due to the virtue of the position and the height. The unit for the potential energy is the joule.
A person has the most potential energy due to her position. when he is sitting on the highest point.
Given data;
Mass,m = .5 kg
Height,H = 0.5 m
Acceleration due to gravity,g = 9.8 m/s²
H is the height
The potential energy is found as;
The potential energy is mainly dependent upon the height of the object.
Potential energy = mgh
The potential energy at point B;
PE = mgh
PE = ( 1.5 kg) ( 9.8 m/s2) (0.5 m)
PE = 7.35 J
Since all energy is converted to KE, the kinetic energy at point B;
KE = 0.5mv^2
KE = PE
7.35 = 0.53(1.5) v^2
V = 3.13 m/s
Hence, the velocity of the ball at position A is 3.13 m/s.
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Work is always done when
an object moves
an object has potential energy
a force moves an object
a force is applied perpendicular to the direction of the object's motion
a body starts moving from rest and attends the acceleration of 0.5m/s². calculate the velocity at the end of 3 minutes also find the distance travelled by it during that time
Answer:
See below
Explanation:
3 minutes = 180 seconds
v f = at = .5 m/s^2 * 180 s = 90 m/s
Distance = 1/2 a t^2 = .5 * .5 * 180^2 = 8100 m
If m = 2,000, p = 2. 25, and y= 6,000, what is velocity?
The velocity is 6.75
The velocity in the equation stated above can be calculated as follows
m= 2,000
p= 2.25
y= 6000
velocity= 2.25 × 6000/ 2000
= 13500/2000
= 6.75
Hence the velocity is 6.75
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Deena made a chart to summarize features of a velocity vs. time graph for objects with constant acceleration and objects with constant velocity.
The statement which best describes Deena's error is: B. Include the area of the rectangle under the line to find displacement for constant acceleration.
What is a velocity vs. time graph?A velocity vs. time graph can be defined as a type of graph that is used to graphically represent the rate of change of velocity of an object with respect to time.
Based on the information provided in the table shown (see attachment), the statement which best describes Deena's error is her not including of the area of the rectangle under the line, so as to enable her find displacement for constant acceleration.
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Complete Question:
Deena made a chart to summarize features of a velocity vs. time graph for objects with constant acceleration and objects with constant velocity.
Which best describes Deena's error?
A. The line for constant velocity is not horizontal; it is diagonal and slopes downward.
B. Include the area of the rectangle under the line to find displacement for constant acceleration.
C. Find acceleration by finding the area of the rectangle above the line.
D. Find velocity by calculating the slope of the line.
