Question

A block of mass M placed inside a box descends vertically with acceleration 'a'. The block exerts a force equal to one-fourth of its weight on the floor of the box. The value of 'a' will be ______.

Options

• `"g"/4`

• `"g"/2`

• `(3"g")/4`

• g

Answer 1

A block of mass M placed inside a box descends vertically with acceleration 'a'. The block exerts a force equal to one-fourth of its weight on the floor of the box. The value of 'a' will be `underlinebb((3g)/4)`.

Explanation:

Using the above diagram and Newton's Second Law of Motion, we have;

`"mg" - ("mg")/4 = "ma"`

⇒ `"g" - "g"/4 = "a"`

⇒ `"a" = (3"g")/4`