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A man is standing on a spring platform. Reading of spring balance is 60 kg-wt. If the man jumps off the platform, then the reading of the spring balance:

A

first increases then decreases to zero

B

decreases

C

increases

D

remains same

Step-by-Step Solution

  1. Initial State: The man is stationary. The normal reaction (NN) from the spring platform balances his weight (mgmg). Reading = mg=60 kg-wtmg = 60 \text{ kg-wt}.
  2. Jumping Phase (Acceleration): To jump, the man must accelerate upwards. According to Newton's Second Law (Fnet=maF_{net} = ma), the net force must be upwards. Thus, the upward normal force (NN) exerted by the platform must be greater than his weight (mgmg): Nmg=ma    N=m(g+a)N - mg = ma \implies N = m(g + a) [Source 75].
  3. Action-Reaction: By Newton's Third Law, if the platform pushes the man up with force N>mgN > mg, the man pushes the platform down with an equal force N>mgN > mg [Source 57]. This increased downward force compresses the spring further, causing the reading to increase momentarily.
  4. Flight Phase: Once the man's feet leave the platform, the contact force becomes zero (N=0N=0). Consequently, the reading on the spring balance decreases to zero.
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