Question

A block of mass Mis pulled along a smooth horizontal surface with a rope of mass m by force F. The acceleration of the block will be ______.

Options

• `"F"/(("M - m"))`

• `"F"/(("M + m"))`

• `"F"/"m"`

• `"F"/"M"`

Answer 1

A block of mass Mis pulled along a smooth horizontal surface with a rope of mass m by force F. The acceleration of the block will be `underline("F"/(("M + m")))`.

Explanation:

When a block of mass m is pulled along smooth horizontal surface with rope of mass m by force F, then (M + m) will be the total mass of the system.

∴ F = (M + m)a

`=> "a" = "F"/("M + m")`