# Solving for v we find v 256 ms the kinetic energy of

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Unformatted text preview: -32 are connected by a massless string over a frictionless, massless pulley and are released from rest. Use energy conservation to find (a) the velocity of the T.D-kg massjust before it hits the flCior,(b) the maximum height reached by the 4.0-kg mass, and (c) the fraction of the syStem's initial mechanical energy lost when the 7.0-kg mass comes to rest on the floor. Problem 34. The maximum speed of the pendulmJ bob in a grandfather clock is 0.55 m/s. tithe ~endulum makes a maximum angle of 8;0 with he vertical, what is the length of the pendulum? il . Solution 8-6(a),v2 !I 'I From Example = 2g(1 - cos 00), or = v2/2g(1 - cosBo) = (0.55 m/s)2j2(9.8 m/J2)x (1 -cos 8) = 1.59 m.' ' Problem 35. A 2;G-kgmass rests on a frictionless table and is connected over a frictionless pulley to:la 4.G-kg, mass, as shown in Fig. 8-31. Use conservation of energy to calculate the speed of the masses after they have moved 50 cm. FIGURE 8-32 Problem 36. , . Solution If we ignore possible losses (friction and air resistance) and the energy of the string and pulley (both assumed mass...
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