Answer:
The bicycle will be 10m above the staring level when it finally stops
Step-by-step explanation:
The speed of the bicycle, v = 14 m/s
The combined mass of the bicycle and rider, m = 86 kg
Acceleration due to gravity, g = 9.8 m/s²
The kinetic energy = 0.5mv²
Kinetic Energy = 0.5 x 86 x 14²
Kinetic Energy = 8428 Joules
The height of the hill = h
The potential energy = mgh
As the rider coasts up the hill, the kinetic energy is converted to potential energy
Kinetic energy = Potential energy
8428 = mgh
8428 = 86(9.8)h
8428 = 842.8h
h = 8428/842.8
h = 10 m
The bicycle will be 10m above the staring level when it finally stops