Question

A child on a spinning playground ride is 0.36 m from the center of the ride. the centripetal force on the child is 19 n. what is the mass of the child if the child has a tangential speed of 0.54 m/s?3.7 kg13 kg23 kg79 kg

Answer 1

A centripetal force is a force that makes a body follow a curved path. Its direction is always orthogonal to the motion of the body. It has formula given as:

F = m (v^2 / R)
19 = m (0.54^2 / 0.36)
m = 23.46 kg

Hope this answers the question. Have a nice day.

Answer 2

`m = 23.45 kg`

Step-by-step explanation:

As we know that the centripetal force in uniform circular motion is given as

`F = (mv^2)/(R)`

now we have

`F = 19 N`

v = 0.54 m/s

R = 0.36 m

so we will have

`F = (mv^2)/(R)`

`19 = (m * 0.54^2)/(0.36)`

`19 = m(0.81)`

`m = 23.45 kg`