session.masteringphysics.com Course Home MasteringPhysics: Chapter 4; Assignment

Question

session.masteringphysics.com Course Home MasteringPhysics: Chapter 4; Assignment 3 Physics question I Chegg.com Problem 4.58 « previous | 8 of 9 next Problem 4.58 Part A The two masses shown in the figure are each initially 1.8 m above the ground, and the massless frictionless pulley is 4.8 m above the ground (Figure 1) What maximum height does the lighter object reach after the system is released? [Hint: First determine the acceleration of the lighter mass and then its velocity at the moment the heavier one hits the ground. This is its "launch" speed. Assume the mass doesn't hit the pulley. Ignore the mass of the cord.] Express your answer using two significant figures. Im Submit My Answers Give Up Continue Fire1of 1 4.8 m 2.2 kg 3.6 kg 1.8 m

Explanation / Answer

mA = 2.2 kg, mB = 3.6 kg

F = m a

mB * g - mA g = (mA + mB) a

acceleration a = g (mB - mA) / (mA + mB)

= 9.8 (3.6 - 2.2) / (3.6 + 2.2) = 2.366 m/s2

launch speed, v2 = 2 a h = 2 * 2.366 * 1.8 = 8.52

v = 2.92 m/s

maximum height = [ v2 / 2 g ] + mB = [ 2.922 / (2 * 9.8) ] + 3.6

= 4.035 m

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