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Laws of Conservation and Physics Problems

## Conservation of Energy for Gravitational and Spring

a. Conservation energy for gravitational and spring

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b. Conservation of momentum

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c. Conservation of kinetic energy

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1. Which has more momentum, a 1000 kg car moving 1 m/s or a 70 kg person sprinting at 8 m/s?

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2. A tennis ball may leave a top playerâ€™s racket on the serve with a speed of 65.0 m/s. If the ballâ€™s mass m= is 0.0600 kg and it is in contact with the racket for t=0.0300 s, what is the average force exerted on the ball?

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3. A 1500 kg car traveling at 15 m/s collides with a 500 kg moose which is at rest. If the moose is knocked backward at 20 m/s, what happens to the car?

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4. A 1500 kg car traveling 5.0 m/s collides head on with a 3000 kg truck traveling 7.0 m/s in the opposite direction. If the bumpers lock (the collision is inelastic),

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a) what is the velocity of the two vehicles together immediately following the collision?

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b) what is the magnitude of the change in velocity experienced by the driver of each car during the collision?

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c) A 50 kg gorilla is sitting on the limb of tree 4 meters above the ground.

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6. Find the gravitational potential energy of the gorilla sitting on in the tree.

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a. Gorilla through a coconut of mass 3kg down with an initial velocity of 6m/s what is the total kinetic energy of the coconut right before it hits the ground

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b. The gorilla jumps down from the tree limbs to ground. Use the conservation of energy to find the velocity of the gorilla just before hitting the ground.

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c. Use the conservation of energy to calculate the potential, kinetic energy, and mechanical energy of the ball of mass m=3.2kg released from h=4 meter at each given point on the figure.

5. What is potential energy, kinetic energy and total mechanical energy at:

1. Point 1
2. Point 2
3. Point 3
4. Point 4

6. Kinetic and spring potential energy problem: A block (m=5.0kg) is pushed against a spring that is compressed a distance of x=10.0cm. The block is then released and travels up a frictionless inclined surface see the figure.

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a. How much potential energy is stored in the spring?

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b. After the block leaves the spring, what is the kinetic energy of the spring,

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c. Find the velocity of the block right after the block leaves the spring

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d. Find the maximum height of h of the block if the spring constant k= 100 N/m.

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7. Ahmad stretches a spring for x=40.0cm from its resting position. The spring constant is k= 20.0 N/m.

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a. How much spring potential energy is stored in the spring?

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b. What is the restoring force applied by the spring?

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8. Elastic potential energy

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a. Elastic potential energy stored in the band if it is pulled back about d=0.5 meter and has spring constant of k =50 N/m

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b. Kinetic energy of a rock of mass m= 50gram after it is shot by the band

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c. What is the velocity of the rock right after it is released from the band?