Question

The ratio of weights of a man inside a lift when it is stationary and when it is going down with a uniform acceleration 'a' is 3 : 2. The value of 'a' will be ______.

(a< g, g = acceleration due to gravity)

Options

• `3/2g`

• `g/3`

• g

• `2/3g`

Answer 1

The ratio of weights of a man inside a lift when it is stationary and when it is going down with a uniform acceleration 'a' is 3 : 2. The value of 'a' will be `underline(g/3)`.

Explanation:

`W_1/W_2=(mg)/(m(g-a))=3/2`

`thereforeg/(g-a)=3/2`

∴ 2g = 3g - 3a

g = 3a

`therefore a = g/3`