A speed skater goes into a turn with a 31 meter radius. The skater has a speed of 14 m/s and experiences a centripetal force of 460 n. What is the mass of the speed skater
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To find the mass of the speed skater, we can use the formula for centripetal force:
F = (m * v^2) / r
where:
F = centripetal force
m = mass of the skater
v = speed of the skater
r = radius of the turn
Rearranging the formula, we can solve for the mass of the skater:
m = (F * r) / v^2
Plugging in the given values:
F = 460 N
r = 31 m
v = 14 m/s
m = (460 N * 31 m) / (14 m/s)^2
Now, let's calculate the value:
m = (460 N * 31 m) / (196 m^2/s^2)
m = (14,260 N·m) / (196 m^2/s^2)
m ≈ 72.86 kg
Therefore, the mass of the speed skater is approximately 72.86 kg.