Exam 7: Impulse and Momentum

A stationary 4-kg shell explodes into three pieces.Two of the fragments have a mass of 1 kg each and move along the paths shown with a speed of 10 m/s.The third fragment moves upward as shown. -What is the speed of the third fragment?

A baseball of mass m, initially at rest, is struck by a bat so that it acquires a speed v.If t represents the duration of the collision between the bat and the ball, which one of the following expressions determines the magnitude of the average force exerted on the ball?

A 2.5-kg ball and a 5.0-kg ball have an elastic collision.Before the collision, the 2.5-kg ball was at rest and the other ball had a speed of 3.5 m/s.What is the kinetic energy of the 2.5-kg ball after the collision?

A 35-kg girl is standing near and to the left of a 43-kg boy on the frictionless surface of a frozen pond.The boy throws a 0.75-kg ice ball to the girl with a horizontal speed of 6.2 m/s.What are the velocities of the boy and the girl immediately after the girl catches the ice ball? girl boy

A 3.0-kg cart moving to the right with a speed of 1.0 m/s has a head-on collision with a 5.0-kg cart that is initially moving to the left with a speed of 2.0 m/s.After the collision, the 3.0-kg cart is moving to the left with a speed of 1.0 m/s.What is the final velocity of the 5.0-kg cart?

Two objects of equal mass traveling toward each other with equal speeds undergo a head on collision.Which one of the following statements concerning their velocities after the collision is necessarily true?

A 0.065-kg tennis ball moving to the right with a speed of 15 m/s is struck by a tennis racket, causing it to move to the left with a speed of 15 m/s.If the ball remains in contact with the racquet for 0.020 s, what is the magnitude of the average force exerted on the ball?

Complete the following statement: Different types of collisions between interacting bodies are categorized on the basis of

A bullet of mass m is fired at speed v₀ into a wooden block of mass M.The bullet instantaneously comes to rest in the block.The block with the embedded bullet slides along a horizontal surface with a coefficient of kinetic friction $\mu$ . Which one of the following expressions determines how far the block slides before it comes to rest (the magnitude of displacement s in the figure)?

An object of mass 3m, initially at rest, explodes breaking into two fragments of mass m and 2m, respectively.Which one of the following statements concerning the fragments after the explosion is true?

A space vehicle of mass m has a speed v.At some instant, it separates into two pieces, each of mass 0.5m.One of the pieces is at rest just after the separation. -What is the kinetic energy of the moving piece just after the separation?

A football player kicks a 0.41-kg football initially at rest; and the ball flies through the air.If the kicker's foot was in contact with the ball for 0.051 s and the ball's initial speed after the collision is 21 m/s, what was the magnitude of the average force on the football?

A comet fragment of mass 1.96 × 10¹³ kg is moving at 6.50 × 10⁴ m/s when it crashes into Callisto, a moon of Jupiter.The mass of Callisto is 1.08 × 10²³ kg.The collision is completely inelastic. -A 0.50-kg bomb is sliding along an icy pond (frictionless surface) with a velocity of 2.0 m/s to the west.The bomb explodes into two pieces.After the explosion, a 0.20-kg piece moves south at 4.0 m/s.What are the components of the velocity of the 0.30-kg piece?

Jennifer is walking at 1.22 m/s.If Jennifer weighs 552 N, what is the magnitude of her momentum?

Complete the following statement: Momentum will be conserved in a two-body collision only if

In the game of billiards, all the balls have approximately the same mass, about 0.17 kg.In the figure, the cue ball strikes another ball such that it follows the path shown.The other ball has a speed of 1.5 m/s immediately after the collision.What is the speed of the cue ball after the collision?

A mother is holding her 4.5-kg baby in her arms while riding in a car moving at 22 m/s.The car is involved in a head-on collision and stops within 1.5 seconds.What is the magnitude of the force exerted by the baby on his mother's arms?

A 1.0-kg ball has a velocity of 12 m/s downward just before it strikes the ground and bounces up with a velocity of 12 m/s upward.What is the change in momentum of the ball?

A 2.0-kg pistol fires a 1.0-g bullet with a muzzle speed of 1000 m/s.The bullet then strikes a 10-kg wooden block resting on a horizontal frictionless surface.The block and the embedded bullet then slide across the surface. -What is the kinetic energy of the bullet as it travels toward the block?

A comet fragment of mass 1.96 × 10¹³ kg is moving at 6.50 × 10⁴ m/s when it crashes into Callisto, a moon of Jupiter.The mass of Callisto is 1.08 × 10²³ kg.The collision is completely inelastic. -Assuming for this calculation that Callisto's initial momentum is zero kg . m/s, what is the recoil speed of Callisto immediately after the collision?