Questions: 1. A 100g particle is traveling in a circle of radius R 2.0 m. If it

Question

Questions: 1. A 100g particle is traveling in a circle of radius R 2.0 m. If it make one revolution in each second with uniform circular mortion. a. What is the tangential velocity? b. What is centripetal acceleration ? c. What is the centripetal force? d. Can centripetal force do work? Explain your answer? 2. A brass ball with a mass of 100 grams is suspended from a string that is 50.0 cm long. The ball is given a push and it moves in a horizontal circle. The string is not nearly horizontal. It forms an angle of just 20 degrees from the vertical. a. Draw a free body diagram indicating the forces acting on the ball. b. What is the y-component of the tension force equal to? How do you know? c. Use trigonometry to find the x-component of the tension force. d. What is the radius of the ball's motion? e. Use your answers to c & d to find the speed of the ball.

Explanation / Answer

1) Given , m = 100 g = 0.1 kg , R = 2m

Angular velocity (w) = 1 rev/s = 6.283 rad/s

a) Tangential velocity (Vt) = r*w

Vt = 2*6.283

Vt = 12.566 m/s

b) centripetal acceleration (a) = Vt^2/r

a = 12.566^2/2 = 78.952 m/s^2

c) Centripetal force (Fc) = m*a

Fc = 0.1*78.952

Fc = 7.8952 N

d) Centripetal force can do no work because the Centripetal force direction is always perpendicular to the direction of object's motion ( W = F*s*cos(90°) = 0)

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