How Many Rocks Must a Child Throw to Maintain Constant Speed in a Wagon?

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SUMMARY

The discussion centers on calculating the number of rocks a child must throw from a wagon to maintain a constant speed against a frictional force of 3.5 N. Each rock weighs 0.47 kg and is thrown at a speed of 9 m/s. To solve this problem, one must apply Newton's second law, specifically the relationship between force and the rate of change of momentum. The required force exerted by the child must equal the frictional force to achieve constant speed.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Basic knowledge of momentum and its calculation
  • Familiarity with the concept of force and friction
  • Ability to perform calculations involving mass and velocity
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  • Calculate the rate of change of momentum for the rocks thrown
  • Explore the relationship between force, mass, and acceleration in physics
  • Study the effects of friction on motion in a practical context
  • Learn about real-world applications of Newton's laws in mechanics
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bkoz316
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Remain at constant speed?

A child sits in a wagon with a pile of 0.47 kg rocks. If she can throw each rock with a speed of 9 m/s relative to the ground, causing the wagon to move, how many rocks must she throw per minute to maintain a constant average speed against a 3.5 N force of friction?



Not sure on what to do...please help!


Thanks!
 
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bkoz316 said:
A child sits in a wagon with a pile of 0.47 kg rocks. If she can throw each rock with a speed of 9 m/s relative to the ground, causing the wagon to move, how many rocks must she throw per minute to maintain a constant average speed against a 3.5 N force of friction?



Not sure on what to do...please help!


Thanks!
You have to determine what force the child must exert the wagon in order to make it move at constant speed. Then that force can be equated to the momentum change caused by the changing mass (Hint: F= rate of change of momentum, per Newton's 2nd law).
 

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