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A man of mass 7.0 kg stands on a weighin...

A man of mass 7.0 kg stands on a weighing scale in a lift which is moving
(a) upwards with a uniform speed of ` 10 ms^(-1)` .
(b) downwards with a uniform acceleration of 5 `ms^(-2)` .
( c) upwards with a uniform acceleration of 5 `ms^(-2)` .
What would be the readings on the scale in each case ?
(d) What would be the reading if the lift mechanism failed and it hurtled down freely under gravity ?

A

upwards with a uniform speed of `ms^(-1)`

B

downwards with a uniform acceleration of `5ms^(-2)`

C

upwards with a uniform acceleration of `ms^(-2)`. What would be the readings on the scale in each case?

D

What would be the reading if the lift mechanism falled and it hurted down freely under gravity?

Text Solution

Verified by Experts

The reading on the scale is a measure of the force on the floor by the man. By the Third Law, this is equal and opposite to the normal force N on the man by the floor.
(a) `N=70xx10=700N`, Reading is 70kg
(b) `70xx10-N=70xx5`, Reading is 35kg
(c) `N-70xx10=70xx5`, Reading is 105kg
(d) `70xx10-N=70xx10`, Reading would be zero, the scale would read zero.
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