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A 38-kilogram child roller skates on a circular track with a radius of 24 m. Her velocity is 6.0 m/s. What centripetal force does she experience?


-0.16 N

-0.38 N

-57 N

-580 N

Verified Answer :

CharlieStryker


In
order to solve the problem presented above you will simply need to
use the formula shown below. Please see attachment. Now all we have
to do is simply replace the variables with the information that the
problem gives us. If we do that we will get the following:





F
= mv²/r



F
= 386²/r



F
= 38*36/24



F
= 57 Newtons





I
hope it helps, Regards.

View image CharlieStryker
JcAlmighty

The answer is.57N.


Centripetal force (F) is a force that makes a body move around a circular curve. The unit of force is N (N = kg * m/s²).

It can be represented as:

\(F = \frac{m* v^{2} }{r}\)


where:
m - mass
v - velocity
r - radius of the curve

We have:
m = 38 kg
v = 6 m/s
r = 24 m

We need centripetal force:
N = ?


If:

\(F = \frac{m* v^{2} }{r}\)

Then:

\(F = \frac{38 kg* (6 m/s)^{2} }{24 m}\)

\(F = \frac{38* 36 }{24}kg*m/s^{2}\)

\(F = 57N\)


Therefore, centripetal force child experiences during skating on 

a circular track is 57 N.

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