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

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.

A 2-kg object is pulled to the left with a force of 30 N and to the right with a force of 9 N. What is the acceleration of the object?

Answers

An object that weighs  75  N is pulled horizontally to the right with a force of  50  N. The force of friction on this object is  30  N to the left. What is the acceleration of the object?

The force on the object is  50  N to the right and  30  N to the left.

⇒  The net force on the object is,  =50−30=20  N to the right.

The weight of the object is,  =75  N.

⇒  The mass of the object is  ==759.8  kg.

⇒  The acceleration of the object is  ==20759.8=2.613  m/s 2.

The acceleration of the object is 10 [tex]m/s^2[/tex].

What is Acceleration?

Acceleration is defined as the rate of change of velocity of an object with respect to time which are vector quantities i.e. both magnitude and direction. The orientation of an object's acceleration is given by the orientation of the net force acting on that object.

It can be expressed as:

a= v/t

where, a is the acceleration

v is the velocity

t is the time taken

It can also be expressed as F=ma

where, F= force applied

m= mass of the object

So, for above given information

The force on the object is 9N to the right and  30N to the left. The net force on the object is 21N to the left

The mass of the object is 2kg

So, a= 21N/ 2 kg = 10.5 [tex]m/s^2[/tex]

Thus, the acceleration of the object is 10 [tex]m/s^2[/tex].

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Jacob has a disk that sinks to the bottom when placed in a vessel of water. He cuts some holes in the disk and immerses it again in a vessel of water. Which of these is likely to happen?

Answers

Answer:

it will float up cause its has gravity

When Jacob cuts some holes in the disk and immerses it again in a vessel of water it will now float at the top. Thus, the correct option for this question is A.

Why does an object float at the top of the water?

An object floats when the weight force on the object is balanced by the upward push of the water on the object. The upwards push of the water increases with the volume of the object that is underwater. It is not affected by the depth of the water or the amount of water.

According to the context of this question, when a disk does not have holes in it, it will definitely sink to the bottom of the water because it has high density, but when the hole is made in the disk, the water is passed out from them and now, the upward force is minimized that cause less density as compared to previous.

Therefore, when Jacob cuts some holes in the disk and immerses it again in a vessel of water it will now float at the top. Thus, the correct option for this question is A.

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A student lifts a backpack straight up with a force of 53.5 N for a distance of 0.65 m. How much work is done on the backpack?

Happy Christmas Eve!!

Answers

The answer is 34.775j because w=Fd (53.5N)(0.65m)=34.775j

Answer:

W = 34.775J

Explanation:

W = F × d

W = 53.5N × 0.65m

W = 34.775J

W = work = unknown

f = force = 53.5N

d = distance = 0.65m

Choose all the answers that apply.

Light _____.
A. cannot travel through a vacuum
B. slows down when traveling through denser substances
C. speeds up when traveling through more dense substances
D. travels in transverse waves
E. can be absorbed and transformed into heat

Answers

Answer:

B

Explanation:

Give two properties of an object that can be affected by a
physical change.

Answers

textural change(how it feels), shape(what It looks like), size(how big or small it is), color, volume and density

how many bears are witching the category of the

Answers

Polar Bear. A Grizzly Bear. ... Panda Bear. ... Sun Bear. ... Andean Bear. ... North American Black Bear. ... Short-Faced Bear. ... Asiatic Black Bear.

The internal energy of a material is determined by _____.

its temperature

the kinetic energy of its molecules

the potential energy of its molecules

the combined amount of kinetic and potential energy of its molecules

Answers

The internal energy of a system is identified with the random, disordered motion of molecules; the total (internal) energy in a system includes potential and kinetic energy.

PLEASE HELP. I'LL GIVE BRAINLIEST IF YOU GET IT RIGHT.
Where have we found evidence of the early history of Earth?
a. The Moon, Venus, and Mars
b. Mars, the Moon, and Jupiter
c. Asteroids, the Moon, and Mars
d. The gas planets

Answers

Answer:Most of this ancient space rubble can be found orbiting the Sun between Mars and Jupiter within the main asteroid belt. Asteroids range in size from Vesta – the largest at about 329 miles (530 kilometers) in diameter – to bodies that are less than 33 feet (10 meters) across. The total mass of all the asteroids combined is less than that of Earth's Moon.❤

Mars, the Moon, and Jupiter, Where we have found evidence of the early history of Earth.

What is the evidence of the early history of Earth?

The giant-impact theory is currently the one that is most frequently accepted. According to this theory, the Moon was created after the Earth collided with a smaller planet that was around Mars' size.

The Moon was created when the impact's leftover debris gathered in an orbit around Earth. The main asteroid belt, which extends between Mars and Jupiter, is home to the majority of this old space debris.

Asteroids range in size from the largest, Vesta, which has a diameter of roughly 329 miles (530 kilometers), to bodies that are about 33 feet (10 meters) wide. The cumulative mass of all asteroids is less than that of the moon on Earth.

Therefore, option B is correct.

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Two billiard balls having the same mass and speed roll directly toward each other. What is their combined momentum after they meet

Answers

Their combined momentum after they meet is 0.

What is law of conservation of momentum?

According to the law of conservation of momentum, absent an external force, the combined momentum of two or more bodies operating upon one another in an isolated system remains constant. As a result, momentum cannot be gained or lost.

Let the mass of each billiard balls = m.

If the initial velocity of first ball is u; according to the question, the initial velocity of the second ball be -u.

Hence, initial momentum of the first ball is: P₁ = mu

initial momentum of the second ball is: P₂ = -mu

Hence, total initial momentum of the two balls = P₁ + P₂ = mu + ( -mu) = 0.

So, according to law of conservation of momentum:

Their combined momentum after they meet is = 0.

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The combined momentum of the two billiard balls after they meet is zero.

When two pool balls of the same size and speed roll directly at each other and collide, their momentum will increase.

Let us denote the speed of the first ball as [tex]\rm p_1[/tex] and the speed of the second ball as [tex]\rm p_2[/tex]. The momentum of the balls are equal in magnitude but opposite in direction because they have the same mass and velocity.

[tex]\rm p_1= -p_2[/tex]

When the balls collide, their momentum increases:

Total momentum after the collision= [tex]\rm p_1+ p_2[/tex]

Substituting the relationship

[tex]\rm p_1= -p_2[/tex]

Total momentum after the collision

[tex]\rm p_1- p_1= 0[/tex]

Therefore, the combined momentum of the two billiard balls after they meet is zero.

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Describe the water cycle. Be sure to include the following terms in your response: evaporation, condensation, and precipitation.your respone:

Answers

Evaporation, or turning liquid to a gas, is first. Then it goes into the atmosphere and codensates, or turns back to a liquid, these water droplets form into clouds and come down as precipitation, rain, sleet, snow etc. Then the water cycle starts again

effect of looping the loop​

Answers

Answer:

What does this mean? please provide more explanation when asking for help

please someone help me understand this question ​

Answers

[tex]\\ \sf\longmapsto F=\dfrac{Gm_1m_2}{r^2}[/tex]

m1 and m2 has same units let both be m

[tex]\\ \sf\longmapsto F=\dfrac{Gm^2}{r^2}[/tex]

[tex]\\ \sf\longmapsto G=\dfrac{Fr^2}{m^2}[/tex]

SI units:-

F=Newton (N)r=metre(m)mass=m=kg

[tex]\\ \sf\longmapsto G=\dfrac{Nm^2}{kg^2}[/tex]

Option C is correct

What is the average speed of the car ??

Answers

90km/ h that’s the average speed

Answer:

90 km / hr

Explanation:

V = S / t = 60 * 3.6 km / 2.4 hr = 90 km / hr

Hope that helps <3

Which of these best describes the relationship between the incident ray, the reflected ray, and the normal for a curved mirror?(1 point)

The angle that the incident ray makes with the normal is different than the angle that the reflected ray makes with the normal. All points on a curved mirror have the same normal.
The angle that the incident ray makes with the normal is different than the angle that the reflected ray makes with the normal. All points on a curved mirror have the same normal.

The angle that the incident ray makes with the normal is the same as the angle that the reflected ray makes with the normal. Different points on a curved mirror have a different normal.
The angle that the incident ray makes with the normal is the same as the angle that the reflected ray makes with the normal. Different points on a curved mirror have a different normal.

The angle that the incident ray makes with the normal is different than the angle that the reflected ray makes with the normal. Different points on a curved mirror have a different normal.
The angle that the incident ray makes with the normal is different than the angle that the reflected ray makes with the normal. Different points on a curved mirror have a different normal.

The angle that the incident ray makes with the normal is the same as the angle that the reflected ray makes with the normal. All points on a curved mirror have the same normal.

Answers

For a curved mirror, all points have the same normal and the angle of incidence is also equal to the angle of reflection.

According to the laws of reflection, the incident ray, reflected ray and normal all lie on the same plane. For a curved mirror, the normal remains the same at all points along the curved mirror.

Again, the angle made between the incident ray and the normal is the same as the angle made between the reflected ray and the normal. Therefore, the angle of reflection is equal to the angle of incidence.

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A Person is carrying 6kg in one hand and 5kg in another.Calculate the resultant force applied by him​

Answers

I think first of all you should convert both masses to weight by
W= mg ( gravity is 9.8m/s^2)

W= (6)(9.8)= 58.8N
W= (5)(9.8)= 49N

Resultant force = 58.8-49= 9.8N

Final answer:
9.8N

I’m really sorry if the answer turned out to be wrong but I tried my best so good luck!!

The planets never travel in a straight line as they orbit the Sun. According to Newton's second law of motion, this must mean that _________. the planets are always accelerating a force is acting on the planets the planets have angular momentum the planets will eventually fall into the Sun

Answers

Explanation:

The planets never travel in a straight line as they orbit the Sun. According to Newton's second law of motion, this must mean that: Your Answer: The planets have angular momentum.'

HOPE THAT HELPS YOU.

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According to Newton's second law of motion, this must mean that force is acting on the planets. The correct option is (b).

As per Newton's second law of motion, an object's acceleration is inversely related to its mass and directly proportional to the net force exerted on it.

The curving courses of the planets in their solar system show that they are constantly changing their direction, as it causes them to accelerate.

The planets are being accelerated in the direction of the Sun as a result of the Sun's gravitational pull on them. The planets continually speed up toward the Sun due to the centripetal force required to maintain them in their orbits, which is caused by the gravitational attraction between the Sun and the planets. As a result, the planets orbit the Sun in elliptical patterns rather than in a straight line.

Hence, According to Newton's second law of motion, this must mean that force is acting on the planets. The correct option is (b).

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The complete question is:
The planets never travel in a straight line as they orbit the Sun. According to Newton's second law of motion, this must mean that _________.

(a) the planets are always accelerating

(b) a force is acting on the planets

(c)  the planets have angular momentum

(d) the planets will eventually fall into the Sun

Write any three facts in the support of molecular theory

Answers

Answer:

Every gas is made up of very small particles called molecules. Molecules of a gas are separated from each other by large distances so that volume is negligible as compared to total volume of gas. The force of gravitation on the molecules is also negligible.

Hope that helps. x

:

How charged objects can affect other objects without touching them. ?

Answers

By gravity as well as electrostatic and magnetic attraction and repulsion
Example forces being exerted by one object on another without them being in contact with each other

Compare the amount of kinetic energy of particles in each state of matter- solid, liquid, gas

Answers

Answer:

gas moves around the most so it would have the most kinetic energy and solids would have the least as they only vibrate a tiny bit(not visible to the naked eye)

4) What is the kinetic energy of o 5 kg object moving at a velocity of 25 m/s?

Answers

Ek = 1/2 mv^2

= 1/2 × 5 × (25)^2

= 1562.5 J

An astronomical unit (A.U.) is 1 point A) a term for defining the luminosity of a star B) the average distance from the Earth to the sun C) the average distance of any given planet to the sun D) equal to a light year

Answers

Answer:

B) the average distance from the Earth to the Sun

Explanation:

what are the variables that affect the force of gravity?

Answers

Answer:

Mass and distance.

Explanation:

The force of gravity depends directly upon the masses of the two objects, and inversely on the square of the distance between them.

If someone can help that would be cool

Answers

Answer:

  1.5 cm

Explanation:

The ratio of areas is the square of the ratio of diameters, so cylinder A has (1/2)^2 = 1/4 the area of cylinder B.

The volume of the cylinder is jointly proportional to its area and its height. So, for a fixed volume, the height is inversely proportional to the area.

Cylinder B has 4 times the area of cylinder A, so any volume moved from cylinder A to B will require only 1/4 of the change in height that is required in cylinder A.

The red piston in cylinder B rises 1.5 cm.

A coin of mass 0.0050 kg is placed on a horizontal disk at a distance of 0.14 m from the center, as shown above. The coin doesn’t slip and the time it takes for the coin to make a complete revolution is 1.5 s.
A)The figure below shows the disk and coin as viewed from above. Draw and label vectors on the figure below to show instantaneous acceleration and linear velocity vectors for the pin when it is at the position shown below.
B)Determine the linear speed of the coin
C)The rate of rotation of the disk is gradually increased. The coefficient of stats if friction between the coin and the disk is 0.50. Determine the linear speed of the coin when it just begins to slip.
D)If the experiment in part c were repeated with a second, identical coin glued to the top of the first coin, how would this affect the answer to part c? Explain.

Answers

A) Figure attached below

B) The linear speed of the coin = 0.59 m/s

C) Linear speed as coin begins to slip = 0.83 m/s

D) The tangential speed will remain the same as seen in part C

Given data :

mass of coin = 0.0050 kg

Distance of coin from the center of disk = 0.14 m

Time to make a complete revolution = 1.5 s

A) Diagram showing the vectors on the figure is attached below

B) Determine the Linear speed of the coin

Linear speed of coin = 2 * π * ( 0.14 ) / 1.5

                                   = 0.59 m/s

C) Determine the linear speed of the coin when it just begins to slip

given that: friction between coin and disk = 0.50

Friction becomes maximum when coin begins to slip

Maximum frictional force (Fmax) =  uV

where V = mg

∴ Fmax = u*mg ---- ( 1 )centripetal force = [tex]\frac{mv^{2} }{r}[/tex] ---- ( 2 )

Equating equations ( 1 ) and ( 2 ) to determine the linear speed ( v )

v² = u*r*g

∴ v = √(u*r*g ) = √( 0.5 * 0.14 * 9.8 )

                        = 0.83 m/s

 

D) If the experiment is repeated with a second coin glued to the top of the first coin the tangential speed will remain the same

Hence we can conclude that The linear speed of the coin = 0.59 m/s Linear speed as coin begins to slip = 0.83 m/s , The tangential speed will remain the same as seen in part C

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A dart is thrown at a target that is supported by a wooden backstop. It strikes the backstop with an initial velocity of 350 m/s [E] The dart comes to rest in 0.0050 s.

a. What is the acceleration of the dart?
b. How far does the dart penetrate into the backstop?​

Answers

Answer:u=350m/sec

v=0m/sec

t=0.005sec

a=v-u/t

=0-350/0.005

= -350/0.005

= -350×1000/5

= -70×1000

= -70000 m/sec^2

Explanation: i think this will help you thankyou

what do i do on this rubixs cube

Answers

Answer:

You solve it

Explanation:

Answer:

you just spin it and spin it and spin it                                                                                                                   and spin it                      

and spin it

and spin it

and spin it

and spin it

until you get mad then throw it at the wall

Explanation:

ya then you look up a vid that is called rubix cube meme and there should be a pink animal its funny you should watch it!!!!!!!!!

23 and 24 only please help!

Answers

Answer:

23: Acceleration 24:1m/s^2

Explanation:

[tex]a = (v_f - v_i) /delta(t)\\a=(16-10)/6\\a=6/6\\a=1m/s^2[/tex]

What is the smallest value of the force F such that the 8.0 kg block will not slide down the wall? The coefficient of static friction between the block and the wall is 0.4.



Select one:

a. 10N

b. 100N

c. 200N

d. 98N

Answers

The smallest value of the force that will make the block not to slide down is 10 N.

We'll begin by calculating the normal reaction. This can be obtained as follow:

Mass (m) = 8 KgAcceleration due to gravity (g) = 10 m/s²Normal reaction (N) =?

N = mg

N = 8 × 10

N = 80 N

Finally, we shall determine the frictional force.

Coefficient of friction (μ) = 0.4Normal reaction (N) = 80 NFrictional Force (F) =?

F = μN

F = 0.4 × 80

F = 32 N

Since the frictional force is 32 N, therefore, a force lesser than the frictional force will make the block not to slide down.

From the options given above, only option A has a force that is lesser than the frictional force.

Therefore, the correct answer to the question is Option A. 10 N

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Select the correct answer.
Which unit abbrevlation is a measurement of force?
ОА.
m/s
OB. m/s2
Ос.
N
OD.
N/S

Answers

Answer:

N

S.I unit for force is Newton

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