Q1. A 1.25x106 kg deep space exploration ship sits motionless in deep space studying a far off star. The crew decide to launch a 500 kg probe towards the star. The probe leaves the ship with a velocity of 1,200 m/s towards the star.
a. What velocity does the ship have after the launch of the probe?
b. Assuming the ship's engines can produce a force of 3.67x105 N, how long must they fire to bring the ship back to motionlessness (i.e. to a complete stop)?
Q2. To store the energy produced in 1hour by a 110 electric power plant, how many cubic meters of water will have to be pumped from the lower to the upper reservoir? Suppose the upper reservoir is 510 meters above the lower one, and we can neglect the small change in depths of each. Water has a mass of for every 1000 kg per 1.03 cubic meters.