A man pulls a crate of mass 61.0 kg across a level floor. He pulls with a force of 186.0 N at an angle of 22.0° above the horizontal. When the crate is moving, the frictional force between the floor and the crate has a magnitude of 120.0 N. If the crate starts from rest, how fast will it be moving after the man has pulled it a distance of 2.50 m?

1 answer

Fx = 186 cos 22
Fz = 186 sin 22

186 cos 22 - 120 = 61 a

a = (1/61) 52.5
= .86 m/s^2

v = a t = .86 t

average v = .43 t

2.5 = .43 t * t

t = 2.41 seconds

so v = .86 (2.41) = 2.07 m/s