A 2.0kg box slides down a long, frictionless incline of angle 30 degrees. It starts from rest at time t = 0 at the top of the incline at height of 20m above ground.(adsbygoogle = window.adsbygoogle || []).push({});

A) What is the potential Energy of the box relative to the ground at t = 0?

U = MGH where y0 is at the bottom of the incline

U = .39 KJ

B)Use Newton's 2nd law to find the distance the box travels between 0 and 1s and its speed at t = 1s.

F = MA

A = 4.9 m/s^2

D = 2.5m after 1s.

C)Find the potential and kinetic energy of the box at t = 1s.

KE = 1/2MV^2 = 24J

Here is one I don't get since it traveled 2.5m in 1s shouldn't it be

MGH where H = 20m - 2.5? I get U = .34KJ but the answer says .37KJ

what is wrong?

D)Find the kinetic energy and the speed of the box just as it reaches the ground at the bottom of the incline.

I was thinking of using work theorem where total work done = change in kinetic energy

The only force acting on the box is normal force and force of gravity,

since normal force is perpendicular to the displacement = cos 90 = 0 work

and force of gravity would be (m)(g)cos-120 * displacement

What would be the displacement? 20m? from the height?

Any help is appreciated.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Work and energy - 90% done, just need little clarification

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