278_Physics ProblemsTechnical Physics

278_Physics ProblemsTechnical Physics - 280 P9.67 Linear...

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280 Linear Momentum and Collisions P9.67 (a) Find the speed when the bullet emerges from the block by using momentum conservation: mv MV mv ii =+ The block moves a distance of 5.00 cm. Assume for an approximation that the block quickly reaches its maximum velocity, V i , and the bullet kept going with a constant velocity, v . The block then compresses the spring and stops. 400 m/s 5.00 cm v FIG. P9.67 1 2 1 2 900 5 00 10 100 150 500 10 400 100 22 2 2 3 3 MV kx V v mv MV m v i i = = × = = = ×− × = Nm m kg ms kg m s kg m s kg bg ej b g b g . . . .. . . (b) ∆∆∆ EKU =+= × × −− 1 2 1 2 1 2 900 5 00 10 3 2 3 2 2 2 . kg m s kg m s ±Nm ±m E =− 374 J, or there is an energy loss of 374 J . *P9.68 The orbital speed of the Earth is v r T E 7 m 3.156 10 s == × × 1 4 9 6
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