Given:
mass of the box = 200kg
velocity of the moving box = 5m/s
height of the box = 1m
Required:
The comparison of the kinetic energy and potential energy
Solution:
Kinetic energy can be calculated using the formula:
KE = 0.5(mass)(velocity)²
KE = 0.5(200kg)(5m/s)²
KE = 2500 Joules
Potential energy can be calculated using the formula:
PE = (mass)(gravity)(height)
PE = (200kg)(9.8m/s²)(1m)
PE = 1960 Joules
At the given conditions, the kinetic energy is greater than the potential energy. This means that the total energy is spent to move horizontally rather than vertically.