8.1.(a) What is the magnitude of the momentum of a 10,000-kg truck whose speed is 12.0 m>s? (b) What speed would a 2000-kg SUV have to attain in order to have (i) the same momentum? (ii) the same kinetic energy?

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: Momentum and Impulse
8.1.(a) What is the magnitude of the momentum of a 10,000-kg truck whose
speed is 12.0 m>s? (b) What speed would a 2000-kg SUV have to attain in
order to have (i) the same momentum? (ii) the same kinetic energy?
8.17..The expanding gases that leave the muzzle of a rifle also contribute to
the recoil. A .30-caliber bullet has mass 0.00720 kg and a speed of 601
m>s relative to the muzzle when fired from a rifle that has mass 2.80
kg. The loosely held rifle recoils at a speed of 1.85 m>s relative to the
earth. Find the momentum of the propellant gases in a coordinate system
attached to the earth as they leave the muzzle of the rifle.
8.21..On a frictionless, horizontal air table, puck A (with mass 0.250 kg) is
moving toward puck B (with mass 0.350 kg), which is initially at rest.
After the collision, puck A has a velocity of 0.120 m>s to the left, and
puck B has a velocity of 0.650 m>s to the right. (a) What was the speed
of puck A before the collision? (b) Calculate the change in the total kinetic
energy of the system that occurs during the collision.
8.32. Two skaters collide and grab on to each other on friction-less ice. One
of them, of mass 70.0 kg, is moving to the right at 4.00 m>s, while the
other, of mass 65.0 kg, is moving to the left at 2.50 m>s. What are the
magnitude and direction of the velocity of these skaters just after they collide?
8.48.A 10.0-g marble slides to the left at a speed of 0.400 m>s on the
frictionless, horizontal surface of an icy New York sidewalk and has a
head-on, elastic collision with a larger 30.0-g marble sliding to the right at
a speed of 0.200 m>s (Fig. E8.48). (a) Find the velocity of each marble
(magnitude and direction) after the collision. (Since the collision is head-
on, all motion is along a line.) (b) Calculate the change in momentum
(the momentum after the collision minus the momentum before the
collision) for each marble. Compare your values for each marble. (c)
Calculate the change in kinetic energy (the kinetic energy after the collision
minus the kinetic energy before the collision) for each marble. Compare
your values for each marble.
Transcribed Image Text:: Momentum and Impulse 8.1.(a) What is the magnitude of the momentum of a 10,000-kg truck whose speed is 12.0 m>s? (b) What speed would a 2000-kg SUV have to attain in order to have (i) the same momentum? (ii) the same kinetic energy? 8.17..The expanding gases that leave the muzzle of a rifle also contribute to the recoil. A .30-caliber bullet has mass 0.00720 kg and a speed of 601 m>s relative to the muzzle when fired from a rifle that has mass 2.80 kg. The loosely held rifle recoils at a speed of 1.85 m>s relative to the earth. Find the momentum of the propellant gases in a coordinate system attached to the earth as they leave the muzzle of the rifle. 8.21..On a frictionless, horizontal air table, puck A (with mass 0.250 kg) is moving toward puck B (with mass 0.350 kg), which is initially at rest. After the collision, puck A has a velocity of 0.120 m>s to the left, and puck B has a velocity of 0.650 m>s to the right. (a) What was the speed of puck A before the collision? (b) Calculate the change in the total kinetic energy of the system that occurs during the collision. 8.32. Two skaters collide and grab on to each other on friction-less ice. One of them, of mass 70.0 kg, is moving to the right at 4.00 m>s, while the other, of mass 65.0 kg, is moving to the left at 2.50 m>s. What are the magnitude and direction of the velocity of these skaters just after they collide? 8.48.A 10.0-g marble slides to the left at a speed of 0.400 m>s on the frictionless, horizontal surface of an icy New York sidewalk and has a head-on, elastic collision with a larger 30.0-g marble sliding to the right at a speed of 0.200 m>s (Fig. E8.48). (a) Find the velocity of each marble (magnitude and direction) after the collision. (Since the collision is head- on, all motion is along a line.) (b) Calculate the change in momentum (the momentum after the collision minus the momentum before the collision) for each marble. Compare your values for each marble. (c) Calculate the change in kinetic energy (the kinetic energy after the collision minus the kinetic energy before the collision) for each marble. Compare your values for each marble.
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