A 30 kg child sitting 5.0 m from the center of a merry-go-round has a constant speed of 5.0 m/s. while she remains seated in the

Question

kondaur [170]

3 years ago

5

A 30 kg child sitting 5.0 m from the center of a merry-go-round has a constant speed of 5.0 m/s. while she remains seated in the

same spot and travels in a circle, the work the seat performs on her in one complete rotation is

Physics

1 answer:

expeople1 [14] · Answer 1 · 2022-06-29T23:03:54+03:00

Let us say that v is the tangential velocity of the object, a to be the centripetal (which acts towards the center of the circle) acceleration and F as the centripetal force, r to be the radius of the circle and m is mass of the child. <span>

a = v^2 / r

F = ma = mv^2/r

Applying the given values to the equation:

F=30*(5^2/5) => 30*(25/5) => 30*5 => 150 Newtons</span>

Now work is Force times distance, the distance is simply the circumference of the circle.

d = C = 2 * pi * r = 2 * pi * 5 = 10π m

W = F * d = 150 N * 10π m