Question

You pushed a 5.1 kg block from rest across a smooth surface with a constant 15N force to the right. If the box is moving with a final speed of 10m/s, calculate the distance you applied the force over. Show all the steps and the free body diagram.

Answer 1

Answer:

17 m

Explanation:

Draw a free body diagram. There are 3 forces on the block:

Weight force mg pulling down,

Normal force N pushing up,

and applied force F pushing right.

Sum of forces in the x direction:

∑F = ma

15 N = (5.1 kg) a

a = 2.94 m/s²

Given:

u = 0 m/s

v = 10 m/s

a = 2.94 m/s²

Find: s

v² = u² + 2as

(10 m/s)² = (0 m/s)² + 2 (2.94 m/s²) s

s = 17 m