Question

1. a box with a weight of 50 newtons rests at the bottom of a ramp and is pushed to the end of the ramp with a force of 20 newtons. this ramp is an inclined plane that is 10 meters long. what is the maximum height of the ramp? (1 point) 25 m 200 m 4 m 2.5 m

Explanation:

Step1: Calculate work done by pushing force

Work done \(W = F\times d\), where \(F = 20\space N\) (force) and \(d=10\space m\) (distance along the ramp).
\(W=20\times10 = 200\space J\)

Step2: Relate work done to gravitational potential energy

At maximum height \(h\), work done is equal to gravitational potential energy \(U = mgh\). Given \(mg = 50\space N\) (weight), and \(U = W\).
From \(U=mgh\), we can solve for \(h\), \(h=\frac{U}{mg}\)
Substitute \(U = 200\space J\) and \(mg = 50\space N\)
\(h=\frac{200}{50}=4\space m\)

Answer:

4 m