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NEET PHYSICSEasy

A man of mass 80 kg is standing in an elevator which is moving with an acceleration of 6 m/s² in the upward direction. The apparent weight of the man will be (g = 10 m/s²):

A

1480 N

B

1280 N

C

1380 N

D

None of these

Step-by-Step Solution

  1. Identify the Forces: The forces acting on the man are:
  • Weight (mgmg): Acting vertically downwards. W=80 kg×10 m/s2=800 NW = 80 \text{ kg} \times 10 \text{ m/s}^2 = 800 \text{ N}.
  • Normal Reaction (NN): The force exerted by the floor acting vertically upwards. This is the apparent weight.
  1. Apply Newton's Second Law: The elevator and the man are accelerating upwards with acceleration a=6 m/s2a = 6 \text{ m/s}^2. The net force FnetF_{net} is in the direction of acceleration (upwards). Fnet=Nmg=maF_{net} = N - mg = ma
  2. Solve for Apparent Weight (NN): N=m(g+a)N = m(g + a) N=80 kg×(10 m/s2+6 m/s2)N = 80 \text{ kg} \times (10 \text{ m/s}^2 + 6 \text{ m/s}^2) N=80×16N = 80 \times 16 N=1280 NN = 1280 \text{ N} [Source 75]
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