Question

What is the radius of the donuts Megan is making on her jet ski if the total mass of Megan and the jet ski is 185 kg, and it completes one revolution every 32 seconds while exerting a centripetal force of 2100 N?

a) 16 meters
b) 32 meters
c) 48 meters
d) 64 meters

Answer 1

To find the radius of the donuts Megan is making on her jet ski, we can use the formula F = (m * v^2) / r, where F is the centripetal force, m is the mass, v is the velocity, and r is the radius.

Step-by-step explanation:

To find the radius of the donuts Megan is making on her jet ski, we can use the relationship between centripetal force, mass, and radius. The formula is:

F = (m * v^2) / r

In this case, the centripetal force is 2100 N, the mass is 185 kg, and the time it takes for one revolution is 32 seconds.

Plugging in these values, we can rearrange the formula to solve for the radius:

r = (m * v^2) / F

Substituting the given values:

r = (185 kg * (2π)^2) / 2100 N ≈ 16 meters

Therefore, the radius of the donuts Megan is making on her jet ski is approximately 16 meters.