Marcgerardmontesidn
Answered

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Answer correctly please.

A battery-operated toy car with a mass of 2.5 kg rests on a smooth surface. Its side is attached to a 4.0 m string and the other end is tied to a pole. When the toy car is switched on, the car moves with a constant speed of 3.5 m/s. How much force is provided by the string on the toy car as it moves around the pole? ​

Sagot :

Tokamakidn

[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:

Fc = centripetal force

m = mass

v = velocity

r = radius

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

Solving for the centripetal force

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

[tex]F_{c} = \dfrac{(\text{2.5 kg})(\text{3.5 m/s})^{2}}{\text{4.0 m}}[/tex]

[tex]\boxed{F_{c} = \text{7.66 N}}[/tex]

Therefore, the force provided by the string is 7.66 N.

[tex]\\[/tex]

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