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 :
[tex]F=\dfrac{mv^2}{r}[/tex]
[tex]m=\dfrac{Fr}{v^2}[/tex]
[tex]m=\dfrac{460\ N\times 31\ m}{(14\ m/s)^2}[/tex]
m = 72.75 kg
So, the mass of the skater is 72.75 kg. Hence, this is the required solution.
