A puck is moving in a circle in a circle of radius `r_(0)` with a constant speed `v_(0)` on a level frictionless table. A string is attached to the punk, which holds it in the circle, the string passes through a frictionless hole and is attached on the other end to a hanging object of mass M. The puck is mow made to move with a speed `v' = 3v_(0)`, but still in circle. The mass of the hanging object is left unchanged. The acceleration a' of the punk and the radius r' of the circle are now given by

Options

A. `a' = 9a_(0)` and `r' = r_(0)`
B. `a' = a_(0)` and `r' = 9r_(0)`
C. `a' = 9a_(0)` and `r' = 9r_(0)`
D. `a' = a_(0)` and `r' = r_(0)`

Answer

B

Explanation

`T=(mv^(2))/(R )`, and `T=mg`