Question

A particle of mass m is executing uniform circular motion on a path of radius r. If p is the magnitude of its linear momentum, the radial force acting on the particle is ______.

Options

• pmr

• `"rm"/"p"`

• `"mp"^2/"r"`

• `"p"^2/"rm"`

Answer 1

A particle of mass m is executing uniform circular motion on a path of radius r. If p is the magnitude of its linear momentum, the radial force acting on the particle is `" p"^2/"rm"`.

Explanation:

Radial force = `"mv"^2/"r" = "m"/"r"("p"/"m")^2 = "p"^2/"MR"`  .... [`because` p = mv]