A crate is given a push across a horizontal surface. The crate has a mass m, the push gives it an initial speed of 1.90 m/s, and the coefficient of kinetic friction between the crate and the surface is 0.120.

(a) Use energy considerations to find the distance (in m) the crate moves before it stops.

(b) Determine the stopping distance (in m) for the crate if its initial speed is doubled to 3.80 m/s.