Physics: Impulse and Momentum (Math)

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27 Terms

1
  1. Two identical carts (mass = 2 kg each) collide on a frictionless track.

    • Cart A is moving at 5 m/s toward Cart B, which is stationary.

    • After the collision, Cart A comes to a stop.

    • What is the velocity of Cart B after the collision?

5 m/s

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2
  1. A 0.2 kg tennis ball traveling at 30 m/s hits a stationary 0.3 kg racquet.

    • After the collision, the ball rebounds at 20 m/s.

    • If the racquet moves forward, what is its velocity?

33.3 m/s

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3
  1. A 5 kg bowling ball moving at 6 m/s collides elastically with a stationary 2 kg ball.

    • After the collision, the 2 kg ball moves at 8 m/s.

    • What is the velocity of the bowling ball after the collision?


2.8 m/s

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4
  1. A 1.5 kg object moving at 10 m/s collides elastically with another 1.5 kg object moving at 4 m/s in the opposite direction.

    • After the collision, the first object moves at 4 m/s in the opposite direction.

    • What is the velocity of the second object after the collision?

10 m/s

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5
  1. Two balls collide elastically on a pool table.

    • Ball A (mass = 0.6 kg) is moving at 4 m/s, while Ball B (mass = 0.4 kg) is stationary.

    • After the collision, Ball A moves at 2 m/s.

    • What is the velocity of Ball B after the collision?

3 m/s

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6
  1. A 3,000 kg truck moving at 15 m/s crashes into a 1,000 kg car moving at 5 m/s in the same direction.

    • After the collision, the two vehicles stick together.

      • What is their final velocity?

12 m/s

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7
  1. Two hockey players collide on ice and stick together.

    • Player 1 (mass = 80 kg) is skating at 6 m/s, while Player 2 (mass = 100 kg) is skating at 4 m/s in the opposite direction.

    • What is their final velocity after the collision?

1.2 m/s

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8
  1. A 0.5 kg football is thrown at 12 m/s and caught by a stationary player with a mass of 80 kg.

    • After the collision, the player catches the ball and they move together.

      • What is their final velocity?

0.075 m/s

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9
  1. Two freight cars collide and couple together.

    • Car A (mass = 10,000 kg) is moving at 3 m/s, while Car B (mass = 15,000 kg) is stationary.

    • What is the velocity of the combined freight cars after the collision?

2 m/s

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10
  1. A 2 kg block slides on a frictionless surface at 8 m/s and collides inelastically with a stationary 3 kg block.

    • After the collision, they stick together.

    • What is their final velocity?

3.2 m/s

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11
  1. A 2 kg cart moving at 5 m/s collides elastically with a 3 kg cart moving at 2 m/s in the opposite direction.

    • After the collision, the 2 kg cart moves at 3 m/s in the opposite direction.

    • What is the velocity of the 3 kg cart after the collision?

4 m/s

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12
  1. A 0.4 kg ball traveling at 15 m/s hits a stationary wall and rebounds elastically at 12 m/s.

    • What is the change in momentum of the ball?

-10.8 kg x m/s

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13
  1. Two ice skaters push off from each other.

    • Skater A (mass = 50 kg) moves at 3 m/s to the left.

    • Skater B (mass = 70 kg) moves to the right.

    • What is the velocity of Skater B?

2.14 m/s to the right

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14
  1. A 1,200 kg car collides inelastically with a 1,000 kg car traveling at 10 m/s.

    • After the collision, the two cars stick together and move at 15 m/s.

    • What was the velocity of the 1,200 kg car before the collision?

17.5 m/s

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15
  1. A 0.2 kg soccer ball traveling at 25 m/s strikes another 0.3 kg soccer ball moving at 15 m/s in the same direction.

    • After the collision, the first ball slows to 20 m/s.

    • What is the velocity of the second ball after the collision?

18 m/s

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16
  1. A bullet (mass = 0.01 kg) is fired into a stationary 5 kg block of wood.

    • The bullet embeds itself in the block, and the combined system moves at 2 m/s.

    • What was the velocity of the bullet before impact?

10 m/s

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17
  1. A 10 kg object traveling at 12 m/s collides elastically with a 5 kg object traveling at 4 m/s in the same direction.

    • After the collision, the 5 kg object moves at 14 m/s.

    • What is the velocity of the 10 kg object after the collision?

6 m/s

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18
  1. Two trains collide and couple together.

    • Train A (mass = 50,000 kg) is moving at 12 m/s, while Train B (mass = 80,000 kg) is moving at 8 m/s in the same direction.

    • What is their final velocity?

9.33 m/s

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19
  1. A basketball (mass = 0.6 kg) falls from a height and hits the ground at 10 m/s.

    • It rebounds elastically at 8 m/s.

    • What is the change in momentum of the basketball?

9.6 kg x m/s

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20
  1. Two spacecraft dock in space.

    • Spacecraft 1 (mass = 10,000 kg) is moving at 200 m/s, while Spacecraft 2 (mass = 15,000 kg) is moving at 150 m/s in the same direction.

    • After docking, what is their combined velocity?

170 m/s

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21
  1. A soccer ball of mass 0.4 kg is initially at rest.

    • A player kicks it, applying a force of 50 N for 0.2 seconds.

    • a) What is the impulse delivered to the ball?

    • b) What is the ball's velocity immediately after the kick?


a) 10 N b)25 m/s

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22
  1. A 2 kg object is moving at 4 m/s.

    • A force of −10N is applied for 0.5 seconds to bring it to a stop.

    • a) What is the impulse experienced by the object?

    • b) What is the change in momentum of the object?

a) -5 N b) -5 kg x m/s

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23
  1. A tennis ball (mass = 0.2 kg) traveling at 15 m/s strikes a wall and rebounds at 10 m/s.

    • a) What is the change in momentum of the ball?

    • b) If the ball is in contact with the wall for 0.05 seconds, what is the average force exerted on the ball?

a) 5 kg x m/s b)100 N

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24
  1. A 1,500 kg car traveling at 20 m/s comes to a stop.

    • a) What is the change in momentum of the car?

    • b) If the braking force is 3,000N, how long does it take to stop the car?

a) -30,000 kg x m/s b) 10 seconds

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25
  1. A baseball (mass = 0.15 kg) is thrown at 30 m/s and is hit back at 40 m/s.

    • a) What is the change in momentum of the baseball?

    • b) If the contact time between the bat and ball is 0.02 seconds, what is the average force exerted by the bat?

a) 10.5 kg x m/s b) 525 N

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26
  1. A hockey puck (mass = 0.5 kg) sliding at 8 m/s is struck by a stick, giving it a final velocity of 12 m/s.

    • a) What is the change in momentum of the puck?

    • b) If the stick exerts an average force of 50N, how long was the puck in contact with the stick?

a) 2 kg x m/s b) 0.04 seconds

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27
  1. A truck of mass 4,000 kg moving at 18 m/s is brought to a stop over a distance of 60 m.

    • a) What is the change in momentum of the truck?

    • b) Assuming the force is constant, calculate the average braking force.

a) -72,000 kg x m/s b) -10,800 N

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