While a roofer is working on a roof that slants at 37.0 ∘ above the horizontal, he accidentally nudges his 86.0 N toolbox, causing it to start sliding downward, starting from rest.

If it starts 5.00 m from the lower edge of the roof, how fast will the toolbox be moving just as it reaches the edge of the roof if the kinetic friction force on it is 20.0 N?

1 answer

how much work does friction do during the 5 m slide?
20 * 5 = 100 Joules

how much potential energy did it lose
m g *5 sin 37

so
(1/2) m v^2 = m g *5 sin 37 - 100