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Chapter 7: Q.47 (page 180)
A -diameter, beach ball is dropped with a ant riding on the top. The ball experiences air resistance, but the ant does not. What is the magnitude of the normal force exerted on the ant when the ball’s speed is ?
The normal force exerted on the ant is
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A house painter uses the chair-and-pulley arrangement of FIGURE Pto lift himself up the side of a house. The painter’s mass is and the chair’s mass is . With what force must he pull down on the rope in order to accelerate upward at ?
The two blocks in FIGUREare sliding down the incline. What is the tension in the massless string?
A rope of lengthL and mass m is suspended from the ceiling. Find an expression for the tension in the rope at position y, measured upward from the free end of the rope.
Teams red and blue are having a tug-of-war. According to Newton’s third law, the force with which the red team pulls on the blue team exactly equals the force with which the blue team pulls on the red team. How can one team ever win? Explain
A rocket burns fuel at a rate of , expelling the exhaust gases at a speed of relative to the rocket. We would like to find the thrust of the rocket engine.
a. Model the fuel burning as a steady ejection of small pellets, each with the small mass . Suppose it takes a short time to accelerate a pellet (at constant acceleration) to the exhaust speed . Further, suppose the rocket is clamped down so that it can’t recoil. Find an expression for the magnitude of the force that one pellet exerts on the rocket during the short time while the pellet is being expelled.
b. If the rocket is moving, is no longer the pellet’s speed through space but it is still the pellet’s speed relative to the rocket. By considering the limiting case of and approaching zero, in which case the rocket is now burning fuel continuously, calculate the rocket thrust for the values given above.
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