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Physics / University Physics 13 / Chapter 8 / Problem 88P

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

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CP A 20.00-kg lead sphere is hanging from a hook by a thin

Chapter 10, Problem 88P

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QUESTION:

CP? A 20.00-kg lead sphere is hanging from a hook by a thin wire 2.80 m long and is free to swing in a complete circle. Suddenly it is struck horizontally by a 5.00-kg steel dart that embeds itself in the lead sphere. What must be the minimum initial speed of the dart so that the combination makes a complete circular loop after the collision?

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QUESTION:

CP? A 20.00-kg lead sphere is hanging from a hook by a thin wire 2.80 m long and is free to swing in a complete circle. Suddenly it is struck horizontally by a 5.00-kg steel dart that embeds itself in the lead sphere. What must be the minimum initial speed of the dart so that the combination makes a complete circular loop after the collision?

ANSWER:

Solution 88P Step 1: Data given Mass of sphere m =120.0 kg Mass of dart m 2 5.0 kg Length of wire d = 2.80 m We need to find the initial speed of the dart From the above explanation of the problem we know it is an inelastic collision We shall use the law of conservation of energy to find the velocity of the dart We have KE = PE 1/2 mv = mgh After the c

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