Question

A baby and stroller have a total mass of

20. kilograms. A force of 36 newtons keeps the

stroller moving in a circular path with a radius of

5.0 meters. Calculate the speed at which the

stroller moves around the curve. [Show all work,

including the equation and substitution with

units.]

Answer 1

Answer : The speed at which the stroller moves around the curve is, 3 m/s

Solution :

Formula used :

`F=(mv^2)/(r)\\\\v=\sqrt{(F* r)/(m)}`

where,

F = centripetal force =
`36N=36\text{Kg }m/s^2`

M = mass = 20 Kg

r = radius of circular path = 5 m

v = velocity

Now put all the given values in the above formula, we get the speed.

`v=\sqrt{(F* r)/(m)}=\sqrt{\frac{(36\text{Kg }m/s^2)* (5m)}{20Kg}}=3m/s`

Therefore, the speed at which the stroller moves around the curve is, 3 m/s

Answer 2

We know that the formula for the centripetal force is:

F = m·v² / r

Solving for v we get:

v = √(F · r / m)
= √(36 N · 5.0 m / 20 kg)
= 3.0 m/s

The stroller moves at a speed of 3.0 m/s.