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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.]

Respuesta :

Mindaka
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.

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

Solution :

Formula used :

[tex]F=\frac{mv^2}{r}\\\\v=\sqrt{\frac{F\times r}{m}}[/tex]

where,

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

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.

[tex]v=\sqrt{\frac{F\times r}{m}}=\sqrt{\frac{(36\text{Kg }m/s^2)\times (5m)}{20Kg}}=3m/s[/tex]

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

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