Worksheet 2: Quantitative Conservation Of Momentum
Impulsive Force Model Worksheet 2: Quantitative Conservation of Momentum
Name: ______________________________________
1. Kim holds a 2.0 kg air rifle loosely and fires a bullet of mass 1.0 g. The muzzle velocity of the bullet is 150 m/s. Find the recoil speed of the gun.
Momentum conservation equation:
Recoil speed =________________
2. If the girl in the previous question holds the gun tightly against her body, the recoil speed is less. Calculate the new recoil speed for the 48 kg girl.
Momentum conservation equation:
Recoil speed - _______________
3. In a freight yard a train is being put together from freight cars. An empty freight car, coasting at 10 m/s, strikes a loaded car that is stationary, and the cars couple together. …show more content…
Each of the cars has a mass of 3000 kg when empty, and the loaded car contains 12,000 kg of canned soda (a year's supply for the Physics class). Find the speed of the two coupled railcars.
Momentum conservation equation:
Speed = ___________________
4. An astronaut of mass 80. kg carries an empty oxygen tank of mass 10. kg. He throws the tank away from himself with a speed of 2.0 m/s. Find the speed with which he moves off into space.
Momentum conservation equation:
Speed = ___________________
5. A tennis player returns a 30. m/s serve straight back at 25. m/s, after making contact with the ball for 0.50 s. If the ball has a mass of 0.20 kg, what is the force she exerted on the ball?
Equation:
Force = ____________________
6. A 50. kg cart is moving across a frictionless floor at 2.0 m/s. A 70. kg boy, riding in the cart, jumps off so that he hits the floor with zero velocity.
Momentum conservation equation:
a. How large an impulse did the boy give to the cart? ____________
b. What was the velocity of the cart after the boy jumped? ________________
7. Two girls with masses of 50.0 kg and 70.0 kg are at rest on frictionless in-line skates. The larger girl pushes the smaller girl so that the latter rolls away at a speed of 10.0 m/s. What is the effect of the action on the larger girl?
What is the impulse that each girl exerts on the other?
Momentum conservation equation:
Velocity of the larger girl after the push = ______________
8. A 2.0 kg melon is balanced on a bald man's head. His son shoots a 50.0 g arrow at it with a speed of 30.0 m/s. The arrow passes through the melon and emerges with a speed of 18.0 m/s. Find the speed of the melon as it flies off the man's head.
Momentum conservation equation:
Speed of melon = _________________
9.
Mighty Miguel has a mass of 100. kg and is running towards the end zone at 9.0 m/s. Joey Gonzales (mass of 75.0 kg), runs at 12.0 m/s towards Miguel. They collide at the 2-yard line. Does Miguel score?
Momentum conservation equation:
What is Miguel’s velocity after the hit? ______________
10. A ball of mass 3.0 kg, moving at 2 m/s eastward, strikes head-on a ball of mass 1.0 kg that is moving at 2 m/s westward. The balls stick together after the impact. What is the magnitude and direction of the velocity of the combined mass after the collision? ______
11. A way of measuring the muzzle velocity of a bullet is to fire it horizontally into a massive block of wood placed on a cart. Assuming no friction, we then measure the velocity with which the wood containing the bullet and cart begin to move. Bullet has mass of 50 grams and Cart+Block has mass of 20 kg. After the shot, the cart, wood, and bullet moved at a constant speed, traveling 8.0 m in 4.0 s. From these data, determine the original speed of the bullet. ___________
12. A raft of mass 180 kg carries two swimmers of mass 50. kg and 80. kg. The raft is initially floating at rest. The two swimmers simultaneously dive off opposite ends of the raft, each with a horizontal velocity of 3 m/s. Determine the final velocity and direction the raft.
_______________
Name: ______________________________________
1. Kim holds a 2.0 kg air rifle loosely and fires a bullet of mass 1.0 g. The muzzle velocity of the bullet is 150 m/s. Find the recoil speed of the gun.
Momentum conservation equation:
Recoil speed =________________
2. If the girl in the previous question holds the gun tightly against her body, the recoil speed is less. Calculate the new recoil speed for the 48 kg girl.
Momentum conservation equation:
Recoil speed - _______________
3. In a freight yard a train is being put together from freight cars. An empty freight car, coasting at 10 m/s, strikes a loaded car that is stationary, and the cars couple together. …show more content…
Each of the cars has a mass of 3000 kg when empty, and the loaded car contains 12,000 kg of canned soda (a year's supply for the Physics class). Find the speed of the two coupled railcars.
Momentum conservation equation:
Speed = ___________________
4. An astronaut of mass 80. kg carries an empty oxygen tank of mass 10. kg. He throws the tank away from himself with a speed of 2.0 m/s. Find the speed with which he moves off into space.
Momentum conservation equation:
Speed = ___________________
5. A tennis player returns a 30. m/s serve straight back at 25. m/s, after making contact with the ball for 0.50 s. If the ball has a mass of 0.20 kg, what is the force she exerted on the ball?
Equation:
Force = ____________________
6. A 50. kg cart is moving across a frictionless floor at 2.0 m/s. A 70. kg boy, riding in the cart, jumps off so that he hits the floor with zero velocity.
Momentum conservation equation:
a. How large an impulse did the boy give to the cart? ____________
b. What was the velocity of the cart after the boy jumped? ________________
7. Two girls with masses of 50.0 kg and 70.0 kg are at rest on frictionless in-line skates. The larger girl pushes the smaller girl so that the latter rolls away at a speed of 10.0 m/s. What is the effect of the action on the larger girl?
What is the impulse that each girl exerts on the other?
Momentum conservation equation:
Velocity of the larger girl after the push = ______________
8. A 2.0 kg melon is balanced on a bald man's head. His son shoots a 50.0 g arrow at it with a speed of 30.0 m/s. The arrow passes through the melon and emerges with a speed of 18.0 m/s. Find the speed of the melon as it flies off the man's head.
Momentum conservation equation:
Speed of melon = _________________
9.
Mighty Miguel has a mass of 100. kg and is running towards the end zone at 9.0 m/s. Joey Gonzales (mass of 75.0 kg), runs at 12.0 m/s towards Miguel. They collide at the 2-yard line. Does Miguel score?
Momentum conservation equation:
What is Miguel’s velocity after the hit? ______________
10. A ball of mass 3.0 kg, moving at 2 m/s eastward, strikes head-on a ball of mass 1.0 kg that is moving at 2 m/s westward. The balls stick together after the impact. What is the magnitude and direction of the velocity of the combined mass after the collision? ______
11. A way of measuring the muzzle velocity of a bullet is to fire it horizontally into a massive block of wood placed on a cart. Assuming no friction, we then measure the velocity with which the wood containing the bullet and cart begin to move. Bullet has mass of 50 grams and Cart+Block has mass of 20 kg. After the shot, the cart, wood, and bullet moved at a constant speed, traveling 8.0 m in 4.0 s. From these data, determine the original speed of the bullet. ___________
12. A raft of mass 180 kg carries two swimmers of mass 50. kg and 80. kg. The raft is initially floating at rest. The two swimmers simultaneously dive off opposite ends of the raft, each with a horizontal velocity of 3 m/s. Determine the final velocity and direction the raft.
_______________