Question

Sylvia and Jadon now want to work a problem. Imagine a puck of mass 0.5 kg moving in a circular simulation. Suppose that the tension in the string is 3.5 N, and that the radius of its circular path is 1.0 m. What will Jadon and Sylvia find for the tangential speed of the puck in m/s?

Answer 1

Answer:

Tangential speed, v = 2.64 m/s

Explanation:

Given that,

Mass of the puck, m = 0.5 kg

Tension acting in the string, T = 3.5 N

Radius of the circular path, r = 1 m

To find,

The tangential speed of the puck.

Solution,

The centripetal force acting in the string is balanced by the tangential speed of the puck. The expression for the centripetal force is given by :

$F=\dfrac{mv^2}{r}$

$v=\sqrt{\dfrac{Fr}{m}}$

$v=\sqrt{\dfrac{3.5\ N\times 1\ m}{0.5\ kg}}$

v = 2.64 m/s

Therefore, the tangential speed of the puck is 2.64 m/s.