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5.3.3 Practice: Momentum and Gravitation Practice Physics Sem 1 Points Possible: 25 Name: Hudson Kohler Date: Question 1 What is the momentum of a tiger that has a mass of 81 kg and runs with a velocity of 5.4 m/s to the east? (1 point) The momentum of the tiger is M= 437.4

Question 2 A horse has a momentum of 1200 kg·m/s. If the horse has a mass of 313 kg, what is the speed of the horse? (1 point) The speed of the horse is V= 3.833

Question 3 A car has a speed of 23 m/s and a momentum of 31,050 kg·m/s. What is the mass of the car? (1 point) The mass of the car is M= 1350

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Question 4 A boat uses its motor to increase its speed from 5 m/s to 7 m/s. If the boat has a mass of 250 kg, what was the impulse applied by the motor? (1 point) The impulse applied by the motor is J=500 Question 5 Dave is moving 3 m/s when he crashes his bike into a wall, which stops him in 0.6 seconds. If Dave and his bike have a mass of 90 kg, what was the force applied by the wall? (1 point) The force applied by the wall is F= 90(-3)/0.6 F= -450

Question 6 Dale ( m = 75 kg) skis across a horizontal surface at a velocity of 5 m/s to the west. He drags his ski poles, which gives him an impulse of 300 kg·m/s to the east. What is his new velocity? (1 point) The New velocity = 1

Question 7 (3 points) Matt ( m = 80 kg) and Trey ( m = 90 kg) slide across an ice skating rink and collide with each other. Before the collision, Matt was moving 3 m/s to the east and Trey was moving 2 m/s to the west. After the collision, Matt is moving 1.5 m/s to the west. a. What was the total momentum of the system before the collision? (1 point)

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The total momentum before was 60 kg to the east b. What is the total momentum of the system after the collision? (1 point) The total momentum after the collision is 60 kg to the east c. What is Trey's speed after the collision? (1 point) 1.5 m/s to the west

Question 8 (3 points) Bob throws a sticky piece of gum at a stationary cardboard box. The gum has a mass of 0.003 kg, and the box has a mass of 0.05 kg. The gum hits the box with a speed of 9 m/s, and they stick together and slide forward. a. What is the total momentum of the system before the collision? (1 point) 0.003*9= 0.027kg b. What is the total momentum of the system after the collision? (1 point) The total momentum after was 0.053kg

c. What is the velocity of the gum/box combination after the collision? (1 point) 0.509 m/s Question 9 (3 points) A projectile launcher has a mass of 3 kg. It fires a projectile of mass 0.08 kg horizontally at a speed of 300 m/s. a. What is the total momentum of the system before the projectile is fired? (1 point) The total momentum is 0. b. What is the total momentum of the system after the projectile is fired? (1 point)

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The total momentum is 0.027 kg c. What is the recoil velocity of the launcher? (1 point) The recoil is 0.08*300/3=8m/s Question 10 (4 points) Use Hooke's law to solve the following problems.

a. A spring with k = 11 N/m is stretched 0.25 m. What force does the spring apply? (1 point) 11*0.25=2.75 N b. What is the spring constant of a rubber band that exerts a force of 35 N when it is stretched 0.1 m? (1 point) 35/0.1= 350 N/m c. An elastic band has a spring constant of 55 N/m. It will break when the force reaches 2000 N. How far do you need to stretch the band for it to break? (1 point) 2000/55= 36.36 m d. A 2 kg mass hangs motionless from a spring with spring constant 8 N/m. How far will the spring stretch if the mass is motionless? (1 point)

2*9.8/8= 2.45 m Question 11 (2 points) A spring with spring constant 40 N/m is compressed 0.1 m past its natural length. A mass of 0.5 kg is attached to the spring. a. What is the elastic potential energy stored in the spring? (1 point) 20*0.1^2= 0.2 J b. The spring is released. What is the speed of the mass as it reaches the natural length of the spring? (1 point) 0.63√2 m/sec

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Question 12 A pendulum has a mass of 3 kg and is lifted to a height of 0.3 m. What is the maximum speed of the pendulum? (1 point) 2.426 meters per second Question 13 (3 points) Use the universal law of gravitation to solve the following problems. a. Two cars of mass 3000 kg are 2 m apart. What is the force of gravity between them? (1 point)

1.50*10^-4 N b. The force of gravity between a planet and its moon is 371 N. If the planet has a mass of 4 × 10 22 kg and the moon has a mass of 5 × 10 5 kg, what is the distance between their centers? (1 point) 6.00*10^7 m c. The force of gravity between Tim and John is 1.85 × 10 –9 N. If they are 18 m apart and Tim has a mass of 120 kg, what is John's mass? (1 point) John’s mass is 75kg

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