Classical Mechanics

# Impulse and the change in momentum

A soccer ball of mass $$0.5\text{ kg},$$ initially at rest, is kicked by a force of magnitude $$1200\text{ N}$$ for $$15\text{ ms}.$$ What is the velocity of the ball after the kick?

A water-rocket of mass $$2\text{ kg}$$ blasts off from the ground. The lifting force applied on the rocket by the water is $$24\text{ N},$$ and the air resistance is negligible. Assuming that the mass of the water-rocket does not change, how fast will the rocket be after $$5$$ seconds?

The gravitational acceleration is $$g=10\text{ m/s}^2.$$

A man pushes a moving ball on a frictionless floor. If the man pushes with magnitude $$11\text{ N}$$ for $$5$$ seconds, what is the change of momentum the ball experiences?

Tiger Woods can hit a golf ball quite hard. A golf ball just after being hit by Mr. Woods has a kinetic energy of $$100~\mbox{J}$$ and a momentum of $$3~\mbox{kg m/s}$$. What is the mass of the golf ball in grams?

A golfer strikes a golf ball of mass $$0.04\text{ kg}$$ with a force of magnitude $$400\text{ N}.$$ If the time of impact between the golf club and the ball is $$3\text{ ms},$$ what is the velocity of the ball after the strike?

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