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Chapter 11: Q. 35 (page 288)
A small rocket with 15 kN thrust burns 250 kg of fuel in 30 s. What is the exhaust speed of the hot gases?
The exhaust speed is
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A 20 kg wood ball hangs from a 2.0-m-long wire. The maximum tension the wire can withstand without breaking is 400 N. A 1.0 kg projectile traveling horizontally hits and embeds itself in the wood ball. What is the greatest speed this projectile can have without causing the wire to break?
A ball of mass m and another ball of mass 3m are placed inside a smooth metal tube with a massless spring compressed between them. When the spring is released, the heavier ball flies out of one end of the tube with speed . With what speed does the lighter ball emerge from the other end?
A car is rolling at . You would like to stop the car by firing a blob of sticky clay at it. How fast should you fire the clay?
One billiard ball is shot east at m/s. A second, identical billiard ball is shot west at m/s. The balls have a glancing collision, not a head-on collision, deflecting the second ball by 90° and sending it north at m/s. What are the speed and direction of the first ball after the collision? Give the direction as an angle south of east.
A rocket in deep space has an exhaust-gas speed of 2000 m/s. When the rocket is fully loaded, the mass of the fuel is five times the mass of the empty rocket. What is the rocket’s speed when half the fuel has been burned?
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