A hollow steel ball is sliding in a horizontal circular path at constant speed. v = 6 m/s inside a funnel, as shown in the diagram. An ideal string connected to the ball hangs from the ball down L = 0.4 m of the slope of the funnel anc pass through the hole at the bottom, so that it supports a cork of mass M = 0.3 kg. The sides of the funnel form an angle of 0 = 30 ° to the horizontal as shown in the diagram. Recall that sin(30°) = 0.5 and cos(30°) × 0.9 ball funnel ork (a) Make a free body diagram of the ball by itself AND make a separate free body diagram of the hanging cork. (b) What is the tension T in the string? (c) What is the magnitude of the balls acceleration? (d) What is the mass of the ball?

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Question 4.
A hollow steel ball is sliding in a horizontal circular path at constant speed
v = 6 m/s inside a funnel, as shown in the diagram. An ideal string connected
to the ball hangs from the ball down L = 0.4 m of the slope of the funnel and
pass through the hole at the bottom, so that it supports a cork of mass M.
= 0.3 kg. The sides of the funnel form an angle of 0 = 30 ° to the horizontal,
as shown in the diagram. Recall that sin(30°) = 0.5 and cos(30°) ~ 0.9.
ball
funnel
Pecark
(a) Make a free body diagram of the ball by itself AND make a separate
free body diagram of the hanging cork.
(b) What is the tension T in the string?
(c) What is the magnitude of the balls acceleration?
(d) What is the mass of the ball?
Transcribed Image Text:Question 4. A hollow steel ball is sliding in a horizontal circular path at constant speed v = 6 m/s inside a funnel, as shown in the diagram. An ideal string connected to the ball hangs from the ball down L = 0.4 m of the slope of the funnel and pass through the hole at the bottom, so that it supports a cork of mass M. = 0.3 kg. The sides of the funnel form an angle of 0 = 30 ° to the horizontal, as shown in the diagram. Recall that sin(30°) = 0.5 and cos(30°) ~ 0.9. ball funnel Pecark (a) Make a free body diagram of the ball by itself AND make a separate free body diagram of the hanging cork. (b) What is the tension T in the string? (c) What is the magnitude of the balls acceleration? (d) What is the mass of the ball?
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