A
bolt of mass 0.3 kg falls from the ceiling of an elevator moving down
with an
uniform speed of 7 m s–1.
It hits the floor of the elevator (length of the elevator = 3 m) and
does not rebound. What is the heat produced by the impact? Would your
answer be different if the elevator were stationary?
A bolt of mass 0.3 kg falls from the ceiling of an elevator moving down with an uniform speed of 7 m s–1. It hits the floor of the elevator (length of the elevator = 3 m) and does not rebound. What is the heat produced by the impact? Would your answer be different if the elevator were stationary?
Mass
of the bolt, m
= 0.3 kg
Speed of
the elevator = 7 m/s
Height,
h = 3 m
Since the
relative velocity of the bolt with respect to the lift is zero, at
the time of impact, potential energy gets converted into heat energy.
Heat
produced = Loss of potential energy
= mgh
= 0.3 × 9.8 × 3
= 8.82 J
The heat
produced will remain the same even if the lift is stationary. This is
because of the fact that the relative velocity of the bolt with
respect to the lift will remain zero.
Mass of the bolt, m = 0.3 kg
Speed of the elevator = 7 m/s
Height, h = 3 m
Since the relative velocity of the bolt with respect to the lift is zero, at the time of impact, potential energy gets converted into heat energy.
Heat produced = Loss of potential energy
= mgh = 0.3 × 9.8 × 3
= 8.82 J
The heat produced will remain the same even if the lift is stationary. This is because of the fact that the relative velocity of the bolt with respect to the lift will remain zero.
