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Chapter 9: Q94P (page 254)
An old Chrysler with mass 2400 kg is moving along a straight stretch of road at 80 km/h. It is followed by a Ford with mass 1600 kgmoving at 60 km/h. How fast is the center of mass of the two cars moving?
The speed of the center of mass of the two cars is 72 km/h .
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Figure 9-73 shows an overhead view of two particles sliding at constant velocity over a frictionless surface. The particles have the same mass and the same initial speed V = 4.00 m/s, and they collide where their paths intersect. An xaxis is arranged to bisect the angle between their incoming paths, such that. The region to the right of the collision is divided into four lettered sections by the xaxis and four numbered dashed lines. In what region or along what line do the particles travel if the collision is (a) completely inelastic, (b) elastic, and (c) inelastic? What are their final speeds if the collision is (d) completely inelastic and (e) elastic?
In Fig. 9-79, an 80 kgman is on a ladder hanging from a balloon that has a total mass of 320 kg(including the basket passenger). The balloon is initially stationary relative to the ground. If the man on the ladder begins to climb at 2.5m/srelative to the ladder, (a) in what direction and (b) at what speed does the balloon move? (c) If the man then stops climbing, what is the speed of the balloon?
A 3.0 kg object moving at 8.0 m/sin the positive direction of an xaxis has a one-dimensional elastic collision with an object of mass M, initially at rest. After the collision the object of mass Mhas a velocity of6.0 m/sin the positive direction of the axis. What is mass M?
An automobile is at rest at a traffic signal. At the instant the light turns green, the automobile starts to move with a constant acceleration of . At the same instant a truck, travelling at a constant speed of , overtakes and passes the automobile. (a) How far is the com of the automobile–truck system from the traffic light at ? (b) What is the speed of the com then?
A space vehicle is travelling at 4300 km/hrelative to Earth when the exhausted rocket motor (mass 4m)is disengaged and sent backward with a speed of 82 km/hrelative to the command module ( mass m).What is the speed of the command module relative to Earth just after the separation?
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