3.) A rifle of 3.0 kg is fired. The velocity of a 10-gbullet at the muzzle is 30

Question

3.) A rifle of 3.0 kg is fired. The velocity of a 10-gbullet at the muzzle is 300 m/s. It takes 0.005 s for the bullet toreach the muzzle. Find a) the average force acting on the bullet;b) the recoil velocity of the rifle. 4.) A 1500-kg car at rest at a stop sign is hit frombehind by a 2500-kg truck at a speed of 10 m/s. They are entangledand skid together for a distance of 4.8 m. Find a) their speedright after the collision; b) the acceleration during the skid. 5.) A 3200-kg satellite revolves in a uniform circularmotion around the Earth at a height of 500 km. Find a) thegravitational force due to the Earth; b) the speed of thesatellite.(The mass of the Earth is 5.98 x 1024 kg andthe radius of the Earth is 6370 km.) 3.) A rifle of 3.0 kg is fired. The velocity of a 10-gbullet at the muzzle is 300 m/s. It takes 0.005 s for the bullet toreach the muzzle. Find a) the average force acting on the bullet;b) the recoil velocity of the rifle. 4.) A 1500-kg car at rest at a stop sign is hit frombehind by a 2500-kg truck at a speed of 10 m/s. They are entangledand skid together for a distance of 4.8 m. Find a) their speedright after the collision; b) the acceleration during the skid. 5.) A 3200-kg satellite revolves in a uniform circularmotion around the Earth at a height of 500 km. Find a) thegravitational force due to the Earth; b) the speed of thesatellite.(The mass of the Earth is 5.98 x 1024 kg andthe radius of the Earth is 6370 km.) 4.) A 1500-kg car at rest at a stop sign is hit frombehind by a 2500-kg truck at a speed of 10 m/s. They are entangledand skid together for a distance of 4.8 m. Find a) their speedright after the collision; b) the acceleration during the skid. 5.) A 3200-kg satellite revolves in a uniform circularmotion around the Earth at a height of 500 km. Find a) thegravitational force due to the Earth; b) the speed of thesatellite.(The mass of the Earth is 5.98 x 1024 kg andthe radius of the Earth is 6370 km.) 5.) A 3200-kg satellite revolves in a uniform circularmotion around the Earth at a height of 500 km. Find a) thegravitational force due to the Earth; b) the speed of thesatellite.(The mass of the Earth is 5.98 x 1024 kg andthe radius of the Earth is 6370 km.)

Explanation / Answer

Kinematic equation: 300 m/s = a*.005 s. a = 60000 m/s^2. F = ma =.01 kg * 60000 m/s^2 = 600 N.Conservation of momentum gives 3*v =300 * .01. Compute v for the rifle from this. For question four we need the coefficient of friction. Otherwisethe cars would slide forever. Use conservation of momentum to getthe final speed of the two car system. Use v^2 = 2ax to find theacceleration.

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