8.3. IDENTIFYand SET UP:pmv. 212Kmv. EXECUTE:(a) pvmand 22122ppKmmm. (b) cbKKand the result from part (a) gives 22. bbcccc0.145 kg1.900.040 kgmppppm. The baseball has the greater magnitude of momentum. /0.526. (c) 22pmKso mwgives mmwwm Km K. w mg, so mmwww Kw K. mwmmmw700 N1.56450 NwKKKKw. The woman has greater kinetic energy. /0.641. 8.12. IDENTIFY:Apply Eq. 8.9 to relate the change in momentum of the momentum to the components of the average force on it.SET UP:Let +xbe to the right and +ybe upward. EXECUTE:(a) 21(0.145 kg)( [65.0 m/s]cos3050.0 m/s)15.4 kg m/sxxxxJpmv. (0.145 kg)([65.0 m/s]sin300)4.71 kg m/syyyyJpmvmvThe horizontal component is 15.4 kg m/s, to the left and the vertical component is 4.71 kg m/s, upward. (b) av-315.4 kg m/s8800 N1.75 10 sxxJFt.av-34.71 kg m/s2690 NyyJFt. The horizontal component is 8800 N, to the left, and the vertical component is 2690 N, upward. EVALUATE:The ball gains momentum to the left and upward and the force components are in these directions. 8.16. IDENTIFY:Apply conservation of momentum to the system of you and the ball. In part (a) both objects have
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