Question

A boy ties a stone of mass 50 g at the end of a string of length 50 cm

and swings it in a uniform circular motion with a velocity 20 m/s.

Calculate the centripetal force acting on the stone?​

Answer 1

Answer :

• Centripetal force of the stone is 40 N.

Explanation :

Given :

• Mass of the body, m = 50 g or 0.05 kg
• Length of the string, r = 50 cm or 0.5 m
• Uniform circular motion of the stone with velocity, v = 20 m/s

To find :

• Centripetal force of the stone, C = ?

Knowledge required :

Formula for centripetal force of a particle :

⠀⠀⠀⠀⠀⠀⠀⠀⠀C = mv²/r⠀

Where,

• C = Centripetal force of the particle.
• m = Mass of the particle.
• v = Velocity of the particle.
• r = Radius of the particle.

Solution :

By using the formula for centripetal force acting on a particle and substituting the values in it, we get :

⠀⠀=> C = mv²/r

⠀⠀=> C = (0.05 × 20²)/0.5

⠀⠀=> C = (0.05 × 20 × 20)/0.5

⠀⠀=> C = (5/100 × 400)/5/10

⠀⠀=> C = (5 × 4)/5 × 10

⠀⠀=> C = 20/5 × 10

⠀⠀=> C = 4 × 10

⠀⠀=> C = 40

⠀⠀⠀⠀∴ C = 40 N

Therefore,

• Centripetal force of the body is 40 N.

Answer 2

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