What will be your weight while travelling in an escalator?(consider both directions) Will it increase, decrease or remain the same. Support your answer with a valid reason.
Answers
Answer:
The lift is at rest in the third floor. No man is inside the lift. But gravity pulls it down. Still the lift is at rest. How ? This implies that some upward force F is acting on the lift and prevents it's fall. Now a man enters inside the lift. The gravity ( the weight of the man) W pushes the lift down, but concurrently the upward force increase by the amount equal to the weight of the man, and both the lift and the man are at rest. The additional upward force here equals the weight of the man and this force is called apparent weight and = W.
Now suppose that the upward forces F and W (up) cea
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The weight measured can be defined as the force which the body applies in the downward direction. Or, mathematically, it can be written as
F = m.a; where a is directed towards the centre of Earth (downwards).
Now, for a body at rest, the acceleration is the gravitational acceleration ‘g’. However, an accelerated body will have some relative acceleration. Considering the downward direction to be positive, we have,
Acceleration due to gravity = g
Downward acceleration inside the lift = a
Therefore, effective acceleration = (g - a)
Total Force in downward direction is given by
F = m.(Effective Acceleration) = m(g - a)
Or, F = mg - ma
Now, since m is always positive and a is positive in downward direction, for a lift moving downwards, we have
mg - ma < mg
Which means, the apparent weight in a lift moving downwards is always less than the actual weight observed at rest.
Note that it is only applicable when the lift is accelerating downwards. Once the lift attains a constant speed, the apparent weight becomes equal to the actual weight when measured for stationary case.
it will increase our weight while travelling on escalators