A puck is moving in a circle of radius r with a constant speed  $V_0$ on a level frictionless table. A string is attached to the puck 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 now 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 puck and the radius r of the circle are now given by (a₀ is the initial acceleration of the puck)

• A

  $a^{\text{'}}=9a_{0}and{r}^{\text{'}}=r_0$

• B

  $a^{\text{'}}=a_{0}and{r}^{\text{'}}=9r_0$

• C

  $a^{\text{'}}=9a_{0}and{r}^{\text{'}}=9r_0$

• D

  $a^{\text{'}}=a_{0}and{r}^{\text{'}}=r_0$