Question

A speed skater goes around a turn with a 31 m radius. The skater has a speed of 14 m/s and experiences a centripetal force of 460 N. What is the mass of the skater?

Answer 1

Answer:

Mass of the skater, m = 72.75 kg

Explanation:

It is given that,

Radius of the circular path, r = 31 m

Speed of the skater, v = 14 m/s

Centripetal force, F = 460 N

We need to find the mass of the skater. It can be determined using the formula of centripetal force. It is given by :

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

$m=\dfrac{Fr}{v^2}$

$m=\dfrac{460\ N\times 31\ m}{(14\ m/s)^2}$

m = 72.75 kg

So, the mass of the skater is 72.75 kg. Hence, this is the required solution.