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Mathematics
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Consider a child playing with a toy car of mass M. The car is moving with velocity v. A stream of water is then shot towards the car. All the water shot at the car is captured and stored in a small tanker at the back of the car at the rate dm/dt. The water has velocity u before it hits, and comes to rest (with respect to the car) after hitting. What force must the child apply to the car to keep it moving with velocity v?
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