# Gravity's Work on Mass Sliding Down Incline at 35 Degrees

• ._|evo|_.
In summary, the conversation discusses the calculation of work done by gravity on a 50 kg mass sliding down an incline with a coefficient of kinetic friction. The first question asks how much work is done when the angle of the incline is 35 degrees, and the second question asks for the speed of the mass when there is no friction. The solution for the first question is 980 J, but the teacher's answer is 980 J, which may be due to using a different value for acceleration due to gravity. The solution for the second question requires using the conservation of energy or the work-energy theorem.
._|evo|_.

## Homework Statement

A 50 kg mass is released from rest and begins to slide from the top of the incline (2.0 m). Th coefficient of kinetic friction between the mass and the inclines u

how much work does gravity do on the mass by the time it slides to the bottom of the ramp if the angle theta is 35 degrees?

W = f x d

F = m x a

W = (m x a) x d

## The Attempt at a Solution

First i found each following value:

m = 50

d = 2.0/sin(35 degrees)

a = 9.81 x sin(35 degrees)

Multiplied these all out, came with 981.

The answer the teacher says is 980 (he's a stickler to exact measurements)

something i did wrong?

Last edited:
Second question:

What is the speed of the mass by the time it slides to the bottom of the ramp if theta is 35 degrees, and the coefficient of kinetic friction between the mass and the incline is zero?

Related equations:

Um, not sure. Kinda stuck on this part lol.

Attempt:

Can't attempt without a solution.

Last edited:
._|evo|_. said:
Multiplied these all out, came with 981.

The answer the teacher says is 980 (he's a stickler to exact measurements)

something i did wrong?

The teacher used g=9.8 instead of g=9.81. Maybe, he lives on an other place on the Earth than you.

ehild

Apply conservation of energy (there is no friction) or the work-energy theorem. You know the work of gravity already.

ehild

Your approach is correct, but there may be a slight error in your calculations. The value for d should be 2.0/cos(35 degrees) instead of 2.0/sin(35 degrees). This is because the distance traveled along the incline is the hypotenuse of the right triangle formed by the incline and the horizontal ground.

Therefore, the correct value for d would be 2.0/cos(35 degrees) = 2.44 m.

Plugging this into the equation W = (m x a) x d, we get W = (50 kg x 9.81 m/s^2 x sin(35 degrees)) x 2.44 m = 980.1 J. This is very close to the teacher's answer of 980 J, so it is likely just a rounding error.

Overall, your approach and understanding of the concept of work and gravity's role in it is correct. Keep up the good work!

## 1. How does gravity affect mass sliding down an incline at 35 degrees?

Gravity is a force that pulls objects towards the center of the Earth. When a mass is placed on an incline, gravity pulls it downward, causing it to slide down the incline at an angle determined by the degree of the incline.

## 2. What is the relationship between the incline angle and the speed of the mass sliding down?

The steeper the incline, the faster the mass will slide down due to the increased pull of gravity. At a 35 degree incline, the mass will slide down at a faster speed than if it were on a shallower incline.

## 3. Does the mass of the object affect its acceleration down the incline?

Yes, the mass of the object does affect its acceleration down the incline. The greater the mass, the greater the force of gravity pulling it down the incline, resulting in a faster acceleration.

## 4. How does friction play a role in mass sliding down an incline at 35 degrees?

Friction is a force that acts in the opposite direction of motion, slowing down the object. In the case of a mass sliding down an incline, friction between the object and the incline will decrease the speed of the mass and may even cause it to come to a stop.

## 5. Are there any other factors that can affect the speed of the mass sliding down an incline?

Yes, air resistance can also play a role in the speed of the mass sliding down an incline. If the object is sliding at a high speed, air resistance can slow it down. Additionally, the surface of the incline, such as its texture or material, can also affect the speed of the mass.

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