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(29) Two blocks of masses mi 4 kg and m2 5kg are connected by a massless string that passes over a massless frictionless pulley as shown in Fig. 6.34. Block m is initially at rest on a smooth horizontal plane while block m2 is at a height h 0.75 m above the ground. Use conservation of mechanical energy to find the speed of the masses just before m2 hits the ground Fig.6.34 See Exercise (29)

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Answer #1

m2g - T = m2a

T - m1g = m1a

a = (m2-m1)g/(m2+m1)=g/9

Energy conserve

Initial Energy

0+m2gh+m1gH=2*0.5*(m1+m2)v2+m1gH (where H is the height of m1)

5*9.8*0.75/(5+4)=v2

v=2.021 m/s

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