1. Tardigrade
  2. Question
  3. Physics
  4. A bolt of mass 0.2 kg falls from the ceiling of an elevator moving down with an uniform speed of 5 ms-1. It hits the floor of the elevator (length of the elevator = 5 m) and does not rebound. The amount of heat produced by the impact is (Take g = 10 ms-2)

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Q. A bolt of mass $0.2\, kg$ falls from the ceiling of an elevator moving down with an uniform speed of $5 \,ms^{-1}$. It hits the floor of the elevator (length of the elevator $= 5\, m$) and does not rebound. The amount of heat produced by the impact is (Take $g = 10\, ms^{-2}$)

Work, Energy and Power

Solution:

Here, $m = 0.2\, kg$, $v = 5\, ms^{-1}$
$h =$ length of elevator $= 5\, m$
As relative velocity of the bolt w.r.t. elevator is zero, therefore, in the impact, only potential energy of the bolt is converted into heat energy.
Amount of heat produced
$=$ Potential energy lost by the bolt $= mgh$ $= (0.2\, kg) \,(10 \,ms^{-2})\, (5\, m) = 10 \,J$