Your answer is partially correct. Try again. The figure shows ball with mass m .

Question

Your answer is partially correct. Try again. The figure shows ball with mass m . 2.0 kg attached to the end of thin rod with length L . 2.1 m and negligible mass. The other end of the rod is pivoted so that the ball can move in a vertical circle. (a) what initial speed must be given the ball so that it reaches the vertically upward position with zero speed? What then is its speed at (b) the lowest point and (c) the point on the right at which the ball is level with the initial point? (d) If the ball's mass were doubled, what would the answer to (a) be? (a) Numbe (b) Numbe (c) Numbe (d) Numbe UnitsTmys units im/S

Explanation / Answer

Applying energy conservation,

PEi + KEi = PEf + KEf

(a) 0 + m v0^2 /2 = m g (L) + 0

v0 = sqrt(2 g L) = sqrt(2 x 9.81 x 2.1) = 6.42 m/s ......Ans

(B) - m g L + m v^2 /2 = m g L + 0

v = sqrt(4 g L) = 9.10 m/s ........Ans

(c) at same level, speed will be same/

v = 6.42 m/s

(d) independent of mass.

so all answers will remain same.

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