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Anna11 [10]
3 years ago
5

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 46

0 N. What is the mass of the skater?
Physics
1 answer:
dybincka [34]3 years ago
4 0

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.

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