An object is hung from a spring balance attached to the ceiling ofan elevator ca
ID: 1722642 • Letter: A
Question
An object is hung from a spring balance attached to the ceiling ofan elevator cab. The balance reads 90 Nwhen the elevator is standing still. (a) What is the reading when the elevator ismoving upward with a constant speed of 8.5m/s?1 N
(b) What is the reading when the elevator is moving upward with aspeed of 8.5 m/s while decelerating at arate of 1.0 m/s2?
2 N (a) What is the reading when the elevator ismoving upward with a constant speed of 8.5m/s?
1 N
(b) What is the reading when the elevator is moving upward with aspeed of 8.5 m/s while decelerating at arate of 1.0 m/s2?
2 N
Explanation / Answer
True weight, W = 90 N (a) Constant speed, V = 8.5 m/s Acceleration, a = 0 m/s^2 Reading of the balance = Apparent weight , W' = W [ 1 + ( a / g ) ] = 90 [ 1 + 0 ] = 90 N (b) Acceleration, a = - 1 m/s^2 Reading of the balance = Apparent weight , W' = W [ 1 + ( a / g ) ] = 90 [ 1 - (1 / 9.8 ) ] = 80.82 N
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