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Name Date Pd Unit VIII: Worksheet 1 1. Two objects, A & B, have identical velocities. Object A has 3 times the mass of object B. Compare the momentum of each object. Justify your answer. 2. Two other objects, C and D, have identical masses. Object C has twice the velocity of object D. Compare the momentum of each object. Justify your answer. 3. The graph to the right shows the force applied to a baseball (mass = 140g) as it is thrown. a. What is the magnitude of the change in momentum of the ball? 160 F(N) f(x)=132 f(x)=0 140 120 100 80 60 b. If the initial speed of the baseball in question 3 is v0 = 0.0 m/s, what will its speed be when it leaves the pitcher's hand? 40 20 t(s) 0.01 0.02 0.03 0.04 -20 c. When the batter hits the ball, a net force of 1320 N, opposite to the direction of the ball's initial motion, acts on the ball for 9.0 x 10-3 s during the hit. What is the change in momentum of the ball? What is the final velocity of the ball? d. What force does the ball exert on the bat in the question above? Explain. ©Modeling Workshop Project 2006 1 Unit VIII ws1 v3.0 0.05 4. Discuss the following in terms of impulse and momentum: a. Why are padded dashboards safer in automobiles? b. Why are nylon ropes, which stretch considerably under stress, favored by mountain climbers? c. Why is it preferred that railroad cars be loosely coupled with slack between cars? 5. A rocket, weighing 4.36 x 104 N, has an engine that provides an upward force of 8.90 x 105 N. It reaches a maximum speed of 860 m/s. a. Draw a force diagram for the rocket. b. How long must the engine burn in order to reach this speed? ©Modeling Workshop Project 2006 2 Unit VIII ws1 v3.0