A 50.0 kg crate is pulled 375 N of force applied to a rope. The crate slides without friction.
After being pulled 3.07 meters the crate has a velocity of 5.61 m/s. What is the angle (degrees) made by the rope with the horizontal?

Answers

Answer 1

Hi there!

We can use the work-energy theorem to solve.

Recall that:

[tex]\large\boxed{W = \Delta KE = \frac{1}{2}mv_f^2 - \frac{1}{2}mv_i^2}[/tex]

The initial kinetic energy is 0 J because the crate begins from rest, so we can plug in the given values for mass and final velocity:

[tex]W = \frac{1}{2}(50)(5.61^2) = 786.8025 J[/tex]

Now, we can define work:

[tex]\large\boxed{W = Fdcos\theta}}[/tex]

Now, plug in the values:

[tex]786.8025 = Fdcos\theta\\\\786.8025 = (375)(3.07)cos\theta[/tex]

Solve for theta:

[tex]cos\theta = .6834\\\theta = cos^{-1}(.6834) = \boxed{46.887^o}[/tex]


Related Questions

the acceleration of a train moving from rest and its speed reaches 36m/sec in 9 sec​

Answers

Answer:

4 m/s^2

Explanation:

The acceleration is defined as: Δv/Δt (the difference of the velocity over a time period in which happens that difference).

Remember that a difference is calculated by subtracting the initial value of a physical quantity from its final value.

In our case:

Δv = Vfinal - Vinitial = 36m/s - 0 m/s = 36m/s

Δt = 9s

a = Δv/Δt = 36m/s / 9s = 4m/s^2

Part A
As an object moves around, on which quantities does the change in its gravitational potential energy depend? Choose all that
apply.

Answers

As expressed by the equation, potential energy depends upon the mass and the height of the object. Any increase in these two quantities will lead to an increase in the amount of potential energy possessed by the object.

Suppose you drop a 10-pound weight and a 5-pound weight on the Moon, both from the same height at the same time. What will happen? The 10-pound weight will hit the ground before the 5-pound weight. The 5-pound weight will hit the ground before the 10-pound weight. Both weights will float freely because everything is weightless on the Moon. Both will hit the ground at the same time.

Answers

Answer:

Both will hit the ground at the same time.

the probe used in a medical ultrasound examination emits sound waves in air that have a wavelength of 0.12 mm.

Answers

Answer:

IF GOD IS TEIIING YOU SOMETHING JUST DO IT

Explanation:

A swimming pool of width 9.0 m and length 12.0 m is filled with water to a depth of 3.0 m. Calculate pressure on the bottom of the pool due to the water.


Hint: 1 m^3 of water has a mass of 1000 kg.

Answers

With the use of the formula, the pressure on the bottom of the pool due to the water is 29400 Pascal

Given that a swimming pool of width 9.0 m and length 12.0 m is filled with water to a depth of 3.0 m.

Volume = Length x Width x Height

Volume = 9 x 12 x 3

Volume = 324 [tex]m^{3}[/tex]

Since 1 m^3 of water has a mass of 1000 kg,

Mass = 324 x 1000

mass = 324000 kg

To calculate the pressure on the bottom of the pool due to the water, let us use the pressure formula below

P = δgh

where

P = pressure

δ = density of the water = 1000 kg/[tex]m^{3}[/tex]

g = Acceleration due to gravity = 9.8 m/[tex]s^{2}[/tex]

h = height = 3m

Substitute all the parameters into the formula

P = 1000 x 9.8 x 3

P = 29400 Pascal

Therefore, the pressure on the bottom of the pool due to the water is 29400 Pascal

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what is a velocity of an object with a momentum of 300 kg m/s and the mass of 100 kg​

Answers

Answer:

v = 3 m/s

Explanation:

P is the momentum

m is the mass

v is the velocity

P = m•v

300 = 100•v Divide both sides per 100

300/100 = v

v = 3 m/s

[tex]\text{Given that,}\\\\\text{Momentum, p = 300 kg m s}^{-1}\\\\\text{Mass, m = 100 kg}\\\\\text{We know that,}\\\\p = mv\\\\\implies v = \dfrac pm = \dfrac{300}{100} = 3 ~ \text{m s}^{-1}[/tex]

Calculate the elastic potential energy stored in a spring if it has a force constant of 150 N/m. the spring is extended to a length of 0.30m

Answers

Answer:

6.75J

Explanation:

U=1/2KΔx²

U=0.5* 150*0.30^2

A ball is kicked at an angel of 37° to a goalkeeper who is 24m away. What was the initial velocity of the ball?

Answers

The initial velocity of the ball when it was projected is 15.64 m/s.

The given parameters:

Angle of the projection, θ = 37⁰The range of the projectile, R = 24 m

The initial velocity of the ball is calculated by applying formula for range of projectile as follows;

[tex]R = \frac{u^2 sin(2\theta)}{g} \\\\u^2 = \frac{Rg}{sin(2\theta)} \\\\u = \sqrt{\frac{Rg}{sin(2\theta)} } \\\\u =\sqrt{\frac{24 \times 9.8}{sin(2\times 37)} } \\\\u = 15.64 \ m/s[/tex]

Thus, the initial velocity of the ball when it was projected is 15.64 m/s.

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when is atmospheric pressure 1x10 to the power of 5 and when is it pgh

Answers

Answer:

1 atmospheris pressure is equal to10.33 meter under water

Explanation:

right ??

In which scenario is work being done on an object?

a) A force is applied to an object to hold it at rest on an inclined plane.
b) Sitting on a box.
c) An upward force is applied to an object to move it upward at a constant speed.
d) An upward force is applied to an object to suspend it motionless in mid-air.

Answers

Answer:c

Explanation:

To solve this, we must know each and every concept related to work. Therefore, the correct option is option C that is "an upward force is applied to an object to move it upward at a constant speed."

What is work?

Work in physics is the energy delivered to or out of an item by applying force across a displacement. It is frequently expressed in its most basic form as the combination of displacement and force.

When a force is applied, it is said to produce positive work if it has a portion in the directions of the movement of the site of application. Work is done on a body is equivalent to an increase in the body's energy, because work transmits energy to the body. If, on the other hand, the force acting is in the opposite direction as the item's motion, the work is regarded negative, suggesting that energy is withdrawn from the object.

Therefore,  the correct option is option C that is "an upward force is applied to an object to move it upward at a constant speed."

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#SPJ2

The region of the globe directly beneath the Sun is warmer because it ____. A. sees more intense wavelengths reaching the surface B. is closer to the Sun C. has more yearly daylight than other parts of Earth D. receives direct sunlight

Answers

The answer is A. Sees more intense wavelengths reaching the surface

Explain how the stars impact the shape of a galaxy.

Answers

Answer:

Galaxies are too far away for astronomers to take real 3D measurements, but we can infer their shape based on the movement of stars. ... This is also true of less common spiral galaxies like the Milky Way. The bulge near the center contains older stars, while the flattened arms are home to younger ones.

Explanation:

The orbits of stars can also affect the shape of a galaxy through a variety of density waves that are produced when material is compressed into something comparable to a traffic jam in galaxies.

What is Star?

A star is defined as a celestial object consisting of a luminous sphere of plasma held together by self-gravity where the closest star to Earth is the Sun. While many other stars are visible to the uncovered eye at night, their extreme distance from Earth causes them to appear as fixed points of light.

Galaxies are too far away for astronomers to take true 3D measurements, through which we can estimate their size based on the motion of stars, which is also true for less common spiral galaxies like the Milky Way.

Thus, the orbits of stars can also affect the shape of a galaxy through a variety of density waves that are produced when material is compressed into something comparable to a traffic jam in galaxies.

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To overcome an object's inertia, it must be acted upon by __________. A. Gravity B. Energy C. Force D. Acceleration Please select the best answer from the choices provided. A B C D.

Answers

Taking into account the Newton's first Law, the correct answer is option C. To overcome an object's inertia, it must be acted upon by a force.

Newton's First Law, also called the Law of inertia, indicates that "Every body perseveres in its state of rest or of uniform rectilinear motion unless it is forced to change its state by forces impressed on it." This means that for a body to come out of its state of rest or of uniform rectilinear motion, it is necessary for a force to act on it.

In other words, it is not possible for a body to change its initial state (be it rest or motion) unless one or more forces intervene.

Finally, the correct answer is option C. To overcome an object's inertia, it must be acted upon by a force.

Learn more:

https://brainly.com/question/1083492https://brainly.com/question/14113252?referrer=searchResults

Answer:

C) Force

Explanation:

You slide towards the window when a car makes a sudden turn

Answers

Answer:

thats ummm

Explanation:

law of inertia

Newton’s 1 law

On average, how many stars would we have to search before we would expect to hear a signal? assume there are 500 billion stars in the galaxy.

Answers

We would have to search at least 5,000,000,000 (5 billion) stars before we would expect to hear a signal.

To find out the number of stars that we will need to search to find a signal, we need to use the following formula:

total of stars/civilizations500,000,000,000 (500 billion) stars / 100 civilization = 5,000,000,000 (5 billion)

This shows it is expected to find a civilization every 5 billion stars, and therefore it is necessary to search at least 5 billion stars before hearing a signal from any civilization.

Note: This question is incomplete; here is the complete question.

On average, how many stars would we have to search before we would expect to hear a signal? Assume there are 500 billion stars in the galaxy.

Assuming 100 civilizations existed.

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A mass is pulled to the right while on a table.
A. Label the forces.
5 kg
B. Calculate the
object's weight.

Answers

Answer:

weight in 49N

I hope it's correct

A position versus time graph is shown:
Position vs. Time
1 15
10
10
Time (seconds) ->
Which statement accurately describes the motion of the object in the graph above?
O It is at rest for 3 seconds before moving at constant speed for 10 seconds.
It is at rest for 3 seconds before moving at constant speed for 4 seconds.
Olt is moving from 0 cm to 5 cm at constant speed of 7 cm/s.
O it is moving from 0 cm to 3 cm at a constant speed of 3 cm/s.

Answers

Answer:    Answer: The object moves forward at 5 m/s, stops, and then changes velocity.

Explanation:

With the information given in the question we can graph the points (image attached).

As we can observe, in the first segment of the graph the velocity is increasing linearly (at a constant rate) and is 5 m/s, then in the second segment we can see the position of the object remains the same from second 2 to second 4, which means the object is stopped.

Finally, in the third and last segment, we can observe a change in velocity (at a negative constant rate, because is decreasing), which is decreasing until the object stops.

Explanation:

When a projectile is launched horizontally, what is true of its acceleration as it travels through the air?

Answers

It’s acceleration is always zero

which term is equal to velocity change per second?

Answers

Answer:

Acceleration  is measured in meters per second squared (m/s²) change in velocity is measured in meters per second (m/s) time taken

What is an example of bad energy efficiency but good energy conservation?

Answers

Answer:

Energy conservation relies on people cutting back on activities that consume energy—by turning off lights or driving less or using appliances less often.

Explanation:

hope this helps

What is the sum of 130+125+191? A. 335. B. 456. C. 446. D. 426.
If we minus 712 from 1500, how much do we get? A. 788. B. 778. C. 768. D. 758.
50 times of 8 is equal to: A. 80. B. 400. C. 800. D. 4000.
110 divided by 10 is: A. 11. B. 10. C. 5. D. None of these.
FRIEND ME!!!

Answers

1. C- 446
2. A- 778
3. B- 400
4. A- 11

7. A drag car takes off at the green light heading in a straight line. The car goes
from a complete stop to 45m/s in 9 seconds. What is its acceleration?

Answers

Answer:

405

Explanation:

If the car stops at 45m/s in 9 seconds then it took the car 405 meters to stop

Lower chamber of Congress has how many members?

Answers

Answer:435 Representatives

Explanation:The lower chamber of Congress, in which the number of representatives per state is determined by the state's population, with 435 Representatives total. Members of the House of Representatives serve two-year terms, so they are up for reelection every two years.

An object’s mechanical energy is

a
its energy of motion.
b
the sum of its potential (position) energy and kinetic (motion) energy.
c
the waste energy it produces by friction.
d
not related to the object’s mass.

Answers

Explanation:

the sum of its potential (position) energy and kinetic (motion) energy.

Chapter Name :- Vector

Question :-

A car is moving at Vc speed. Rain is falling vertically at a speed of 10 m / s. What is the value of Vc in this case,if the front glass of the car will get wet?

Answer :- Vc ≥ 10

I need Explanation! Please Don’t do copy from net! If you don’t know then no need to answer!

Answers

The value of the speed of the car, for the front glass of the car to get wet, [tex]V_c \geq 10 \ m/s[/tex].

The given parameters:

Speed of the car, = VcSpeed of the rain, = 10 m/s

The relative velocity of the car with respect to the falling rain is calculated as;

[tex]V_{C/R} = V_C- V_R[/tex]

If the speed of the car equals the speed of the rain, the rain will fall behind the car.If the speed of the rain is greater than speed of the car, the rain will fall far in front of the car.If the speed of the car is greater than speed of the rain, the rain will fall on the car.

Thus, for the front glass of the car to get wet, [tex]V_c \geq 10 \ m/s[/tex].

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‍12/3/21 A wave in the ocean has a wavelength of 24 m and a frequency of 8 Hz,What is the wave's speed?

Answers

Answer:

192 m/s

Explanation:

The speed of the wave given only it's frequency and wavelength can be found by using the formula

[tex]c = f \times \lambda[/tex]

where

c is the velocity of the wave in m/s

[tex] \lambda[/tex] is the wavelength in m

f is the frequency in Hz

From the question we have

c = 8 × 24 = 192

We have the final answer as

192 m/s

Hope this helps you

electromagnetic radiation at its maximum wavelength is:

Answers

Answer:

the radio wave. - The frequency ranges between 300 gigahertz (GHz) to 30 hertz (Hz).

Explanation:

11. A tennis ball is thrown straight up in the air, leaving the person's hand with an initial velocity of 3.0 m/s, as shown to the right. What is the displacement of the ball above the person's hand?​

Answers

Answer:

0.46m

Explanation:

how many band is the parametric microphone equalizer?

Answers

Answer:

3 bands

Explanation:

Basically, the Parametric EQ divides the audio spectrum into three bands, allowing you to enhance (or suppress) the level in that range.


A type of matter in which two or more elements are combined
chemically is called a _______

Answers

Answer:

COMPOUND

Explanation:

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