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An object tied to a string is moving along a circular pattern at the speed of 0.400m/s2. The radius of the path is 2.00 meters. The object has a mass of 230 grams. What is the centripetal force exerted on the object?

Sagot :

[tex]\tt{\huge{\blue{Explanation:}}}[/tex]

The centripetal force exerted on an object is given by

[tex]\boxed{F_{c} = \frac{mv^{2}}{r}}[/tex]

where:

[tex]F_{c} =[/tex] centripetal force

m = mass

v = velocity

r = radius

[tex]\tt{\huge{\red{Solution:}}}[/tex]

Solving for the centripetal force

Note: 230 g = 0.230 kg

[tex]F_{c} = \dfrac{mv^{2}}{r}[/tex]

[tex]F_{c} = \dfrac{(\text{0.230 kg})(\text{0.400 m/s})^{2}}{\text{2.00 m}}[/tex]

[tex]\boxed{F_{c} = \text{0.0184 N}}[/tex]

Therefore, the centripetal force is 0.0184 N.

[tex]\\[/tex]

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