Question

A particle of mass m is moving in a circular path of constant radius r such that its centripetal acceleration `a_(c)` is varying with time t as `a_(c) = k^(2)rt^(2)`, where k is a constant. The power delivered to the particle by the forces acting on it is :
A. `m^(2)k^(2)r^(2)t^(2)`
B. `mk^(2)r^(2)t`
C. `mk^(2)rt^(2)`
D. `mkr^(2)t`

Answer 1

Correct Answer - b
The centripetal accertation
`a_(c)=K^(r)rt^(r ) `
or `V^(2)/ r = k^(2)rt^(2)`
v= krt
power =`f_(t)v cos 0^(@)=(ma_(1))(krt)`
`(mkr)(krt)=mk^(2)r^(2)t`