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Question 3 (of 3) value: 5.00 points 1 out of 5 attempts A solid sphere is relea

ID: 1792176 • Letter: Q

Question

Question 3 (of 3) value: 5.00 points 1 out of 5 attempts A solid sphere is released from rest and allowed to roll down a board that has one end resting As on the floor and is tilted at 31.50 with respect to the horizontal. If the sphere is released from a height of 76.5 cm above the floor, what is the sphere's speed when it reaches the lowest end of the board? m/s References eBook & Resources Multipart Answer Difficulty: 3 Chapter: 8 - Torque and Angular Section: 07-The Motion of Rolling Objects

Explanation / Answer

By conservation of energy,

mgh = 0.5mv^2

v = sqrt(2gh)

= sqrt(2*9.8*0.765)

= 3.872 m/s

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