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1. Ted is shooting his rifle at a distant target. What is Ted's recoil velocity if he shoots a 25 g bullet with a muzzle velocity of 1200 m/s? Ted's mass is 72 kg and the rifle has a mass of 3.0 kg.

A. If the rifle barrel is 70 cm long, what was the force exerted on the bullet inside the rifle barrel?

Answer :

Ted's recoil velocity is approximately 0.417 m/s. The force exerted on the bullet inside the rifle barrel is 7500 N.

When a bullet is fired from a rifle, both the bullet and the rifle experience a momentum change due to the conservation of momentum. According to Newton's third law of motion, the force exerted on the bullet is equal in magnitude and opposite in direction to the force exerted on the rifle.

To calculate the recoil velocity of Ted, we can use the principle of conservation of momentum. The momentum of an object is given by the product of its mass and velocity.

Step 1: Calculate the momentum of the bullet:

Momentum of the bullet = mass of the bullet × velocity of the bullet

= (0.025 kg) × (1200 m/s)

= 30 kg·m/s

Step 2: Calculate the momentum change of the rifle:

Momentum change of the rifle = -momentum of the bullet (due to conservation of momentum)

= -30 kg·m/s

Step 3: Calculate the recoil velocity of Ted:

Recoil velocity of Ted = momentum change of the rifle / mass of Ted

= (-30 kg·m/s) / (72 kg)

≈ 0.417 m/s

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