Question

A .357 kg set of keys is being swung on a lanyard that is 56 cm long. If a centripetal force of 11.0 N is applied, what is the speed of the keys?

Answer 1

The speed of the keys is approximately 9.16 m/s.

Step-by-step explanation:

To find the speed of the keys, we can use the formula for centripetal force. The centripetal force is given by F = (m*v^2) / r, where m is the mass, v is the speed, and r is the radius.

Given: m = 0.357 kg, F = 11.0 N, r = 0.56 m

Now we can rearrange the formula to solve for v: v = sqrt((F * r) / m)

Plugging in the values, we get v = sqrt((11.0 * 0.56) / 0.357) ≈ 9.16 m/s