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The second stage of a two-stage rocket weighs 2000 lb (empty) and is launched from the first stage with a velocity of 3000 mi/h. The fuel in the second stage weighs 1000 lb. If it is consumed at the rate of 50lb/s and ejected with a relative velocity of 8000 ft/s, determine the acceleration of the second stage just after the engine is fired. What is the rocket’s acceleration just before all the fuel is consumed? Neglect the effect of gravitation.

A rocket lifts off from Earth initially at a mass of 50,000 kg. If it burns 40,000 kg of fuel during 40 seconds, it increases its speed by 5 km/s. 1. What is the exhaust velocity of the rocket? 2. What is the mass loss rate of the rocket? 3. What is the thrust of the rocket?

A block with mass 0.400 kg is on a horizontal frictionless surface and is attached to a horizontal compressed spring that has force constant k=200N/m The other end of the spring is attached to a wall. The block is released, and it moves back and forth on the end of the spring. During this motion the block has speed 3.00 m/s when the spring is stretched 0.160 m. During the block's motion, what is the maximum distance the spring is compressed from its equilibrium position? When the spring has its maximum compression, what is the speed of the block and what is the magnitude of the acceleration of the block?