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Problem

What is the centripetal force on a 4.0 kg object traveling in circular motion with a radius of  2.0 m at a speed of 4.5 m/s?​

Given Data:

m ( mass ) = 4 kg

r ( radius ) = 2 m

v ( velocity ) = 4.5 m/s

Fc (centripetal force) = ? unknown

Solution:

We can solve the problem using the formula Fc = mv²/r

Fc = mv²/r  

    = 4 kg × (4.5 m/s)² / 2 m

    = 4 kg × 20.25 m²/s²  /  2 m

    = 81 kg·m²/s² / 2 m

    = 40.5  kg·m/s² or  40.5 N

Answer:

the centripetal force  is 40.5  kg·m/s² or  40.5 N

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