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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.
A child goes down a playground slide with an acceleration of 1.20 m/s2. Compute the coefficient of kinetic friction between child and slide if the slide is inclined at an angle of 32.2° below the horizontal.
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A train is travelling up a 4.0 incline at the speed of 3.25 when the last car breaks free and begins to coast without friction. How long does it take for the last car to come to rest momentarily.
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Determine the position of the GPS satellite relative to and from the center of the earth and ratio of clock rates on a GPS clock in orbit and one on the surface of the earth.
What minimum horsepower must a motor have to be capable to drag a 290 box along a level floor at a speed of 1.05 if the coefficient of friction is 0.50.
What fraction of the initial kinetic energy was transferred
when a dime (diameter 1.624 cm) is placed straight over it, bubble can be seen by looking down into the cube. What are upper and lower bounds of the range of the possible depths of the air bubble beneath surface.
What is the velocity of observer B relative to observer A . A diver shines a light up to surface of a flat glass-bottomed boat at an angle of 36 relative to the normal.
A flywheel in a motor is spinning at 560 when a power failure suddenly occurs. The flywheel has mass 40.0 and diameter 75.0. The power is off for 34.0, and during this time the flywheel slows down uniformly due to friction in its axle bearings. Durin..
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