A ball of mass 300   g is dropped from a height 10   m above a sandy ground. On reaching the…

A ball of mass 300 g is dropped from a height 10 m above a sandy ground. On reaching the ground, it penetrates through a distance 1.5 m in sand and finally stops. The average resistance offered by the sand to oppose the motion is (acceleration due to gravity =10 m s-2)
  1. 35 N
  2. 23 N
  3. 34 N
  4. 28 N

Solution

Net displacement of the ball under the action of gravity is 10+1.5 m.

According to work energy theorem, work done by all the forces on a sytem is equal to the change in kinetic energy of the system. Therefore,

Wg+WR=0mgh+d-FRd=00.3×10×11.5-FR×1.5=0FR=23 N

Asked in: AP EAMCET 2022 (04 Jul Shift 2)

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