In the figure, a 700-kg crate is on a rough surface inclined at 30°. a constant external force p = 5600 n is applied horizontally to the crate. as the force pushes the crate a distance of 3.00 m up the incline, the speed changes from 1.40 m/s to 2.50 m/s. how much work does gravity do on the crate during this process?

This problem might be confusing since there are a lot of given variable but we must take note that the problem only asks about the Work done by gravity, therefore:

Work = - Potential Energy

Where,

Potential Energy = mass * gravity * height

Note: It is negative since it is gravity doing the work on our system, not work being done on gravity.

Since the surface is inclined at 30 degrees, therefore:

height = 3 m * sin 30

height = 1.5 m

Calculating for Work:

Work = - 700 kg * 9.8 m / s^2 * 1.5 m

Work = - 10,290 J

Work = -10,300 J

Work do on the crate by gravity : W = -10290 J

Work is the transfer of energy caused by the force acting on a moving object

Work is the product of force with the displacement of objects.

Can be formulated

W = Work, J, Nm

F = Force, N

S = distance, m

Force and displacement of objects are vector. Multiplication of both is in accordance with the dot product concept of two vectors. Whereas W is a scalar quantity. Then if there is an angle formed by the force F and the displacement S is θ, then it can be formulated

There are 4 forces on the crate, so there are 4 work that occurs

the magnitude is the same as the force applied by the applied force (Fp) but the opposite direction

the direction is upward with F = mg

Because what is sought is only work by the force of gravity, then

we can find it from the formula of potential energy

W = ΔPE = - m. g. (h2-h1)

W = - mgh2 (h1 = 0)

Negative value are caused by the movement of objects in the opposite direction to the downward force of gravity

W = - 700. 9.8. 3 sin 30 (h2 has an angle of 30°)

W = -10290 J

law of motion  

link  

displacement of A skateboarder  

link  

The distance of the elevator  

link  

report!

explanation:

physics means: "the branch of science concerned with the nature and properties of matter and energy. the subject matter of physics, distinguished from that of chemistry and biology, includes mechanics, heat, light and other radiation, sound, electricity, magnetism, and the structure of atoms."

a. vertically

explanation:

i tried it and took the test

if im wrong then we have different tests