Question

a bicycle rider pedals towards a hill at a speed of 7.5w/s. the combined mass of the bicycle and the rider is 75.0kg the cycle and rider roll up a hill without peddling . at what height will the cycle cone to rest (use g=10N/1g)

Answer 1

2.8125 meters

Step-by-step explanation:

I will assume 7.5 m/s

When the Kinetic Energy is entirely converted to Potential energy the max height will have been reached

KE = PE

1/2 m v^2 = mgh divide by m

1/2 v^2 = gh looking for h so divide both sides by

1/2 v^2 / g = h sub in the values using g = 10 m/s^2

1/2 ( 7.5 )^2 / 10 = 2.8125 m