In an attempt to imitate Miley, Betty White launches herself onto a wrecking ball. If she is moving at 6 m/s when she jumps on the ball, how high does the ball swing? Assume: mbetty = 60 kg (~140 lbs) Mball = 450 kg (~1000 lbs) And that the initial velocity is purely in the horizontal direction, and the support chain of the wrecking ball has negligible mass. a) Solve for the maximum swing height symbolically b) Solve for the maximum swing height numerically c) If the wrecking ball support chain has a length of 5 meters, what angular displacement does the ball have from vertical at the highest point?

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In an attempt to imitate Miley, Betty White
launches herself onto a wrecking ball.
If she is moving at 6 m/s when she jumps on
the ball, how high does the ball swing?
Assume:
mbetty = 60 kg (~140 lbs)
450 kg (~1000 Ibs)
Mball
And that the initial velocity is purely in the horizontal direction, and the support chain of the wrecking
ball has negligible mass.
a) Solve for the maximum swing height symbolically
b) Solve for the maximum swing height numerically
c) If the wrecking ball support chain has a length of 5 meters, what angular displacement does the
ball have from vertical at the highest point?
Transcribed Image Text:In an attempt to imitate Miley, Betty White launches herself onto a wrecking ball. If she is moving at 6 m/s when she jumps on the ball, how high does the ball swing? Assume: mbetty = 60 kg (~140 lbs) 450 kg (~1000 Ibs) Mball And that the initial velocity is purely in the horizontal direction, and the support chain of the wrecking ball has negligible mass. a) Solve for the maximum swing height symbolically b) Solve for the maximum swing height numerically c) If the wrecking ball support chain has a length of 5 meters, what angular displacement does the ball have from vertical at the highest point?
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