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1. A 60.0 kg rocket is fired north at 1200 m/s. The rocket penetrates an unmanned armored car (mass 1800 kg) traveling west at 15 m/s. What is the velocity of the combined masses just after impact?

2. A student driver from a National Sport School driver education class decided to execute a quick turn into a power pole. The magnitude of the average stopping force on the car was 6800 N, and it required 0.242 s to come to a stop. What was the change in momentum of the car?

3. 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 :

1. After impact, the combined masses of the rocket and the armored car will have a velocity that can be calculated using the principles of conservation of momentum.

2. The change in momentum of the car can be determined by multiplying the magnitude of the average stopping force by the time it took for the car to come to a stop.

1. To find the velocity of the combined masses just after impact, we can apply the conservation of momentum principle. The initial momentum of the rocket is given by its mass (60.0 kg) multiplied by its velocity (1200 m/s) in the north direction. The initial momentum of the armored car is calculated by multiplying its mass (1800 kg) by its velocity (15 m/s) in the west direction. Since momentum is conserved, the total initial momentum of the system is equal to the total final momentum after impact. By considering the masses and velocities of both objects, we can calculate the final velocity of the combined masses.

2. The change in momentum of the car can be obtained using the formula Δp = FΔt, where Δp represents the change in momentum, F is the magnitude of the average stopping force (6800 N), and Δt is the time it took for the car to come to a stop (0.242 s). By substituting the given values into the equation, we can determine the change in momentum experienced by the car during the stopping process.

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