Chapter 7: Q. 7 (page 176)
A small car is pushing a large truck. They are speeding up. Is the force of the truck on the car larger than, smaller than, or equal to the force of the car on the truck?
The force of the truck on the car is equal to the force of the car on the truck.
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Block in is sliding down the incline. The rope is massless, and the massless pulley turns on frictionless bearings, but the surface is not frictionless. The rope and the pulley are among the interacting objects, but you’ll have to decide if they’re part of the system.
A mosquito collides head-on with a car traveling Is the force of the mosquito on the car larger than, smaller than, or equal to the force of the car on the mosquito? Explain.
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 very smart -year-old child is given a wagon for her birthday. She refuses to use it. “After all,” she says, “Newton’s third law says that no matter how hard I pull, the wagon will exert an equal but opposite force on me. So I will never be able to get it to move forward.” What would you say to her in reply?
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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