If the force of a 10 kg car traveling in a circular path is 900n and the circle has a diameter of 20 m what is the velocity of the car

Respuesta :

Answer:

the velocity of the car is 30 m/s.

Explanation:

Given;

Centripetal force on the car, F = 900 N

mass of the car, m = 10 kg

diameter of the circular path, d = 20 m

radius of the circular path, r = 10 m

The velocity of the car is calculated as follows;

[tex]F = \frac{mv^2}{r} \\\\mv^2 = Fr\\\\v^2 = \frac{Fr}{m} \\\\v = \sqrt{\frac{900 \times 10}{10} } \\\\v = 30 \ m/s[/tex]

Therefore, the velocity of the car is 30 m/s.

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