You're given a ramp 0.5m in height with a 3m incline. A mass of 1kg is at the top of the ramp and there is a friction of 2N.
If the ramp has a force of friction of 2N, what will the speed at the bottom of the ramp be?
First calculate acceleration
angle of incline, θ = arcsin(0.5/3)
mass, m = 1 kg
Component of force down the incline
=mg sin(θ)
Frictinal force = 2N
Net force down incline, F
=mg sin(θ)-2 N
Acceleration,a
=F/m
Now kinematics:
initial velocity, u = 0
2aS=v²-u²
v=speed at the bottom of the ramp.