What is work and distance of the book?

Question

A 20 kg box is pushed from rest to find a velocity of 8 m/s. If the force pushing the book is 10 N, how far does the book travel?

Answer 1

First find the acceleration (a) using F = ma where F is the force (10 N) and m is the mass (20 kg). This will give you the acceleration in m/s².

Then use the kinematic equation of motion:

v_f² = v_i² + 2ax where v_f is the final velocity (8 m/s), v_i is the initial velocity (0 m/s since it starts from rest), "a" is the acceleration you calculated above, and "x" is the distance you are trying to find (in meters). Solve for "x"