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Working with gravitation - three problems

1. Show by algebraically reasoning that your gravitation acceleration towards an object of mass M a distance d away is a=GM/d^2 and therefore doesn't depend on your mass.

2. Can a satellite coast in a stable orbit in a plan that doesn't intersect the earth center? Defend your answer. (Include 1 or more diagrams)

3. Students in a lab measure the speed of a steel ball lunched horizontally from a tabletop to be 4.0 m/s. if the tabletop is 1.5 m above the floor, where should they place a 20 cm tall tin coffee can to catch the ball when it lands?

Solution Preview

1.According to the Newton's law of gravitation, the gravitational force between two masses m1 and m2 is given by,

F = G*(m1*m2/R^2)
where G is the universal constant with value 6.67*10^-11 N m^2/Kg^2

Let m be the mass of your body and you are being attracted by the other body of mass M. Then by the above law we can write the force as,

F = G mM/d^2 where d is the distance

This force will produce an acceleration a on your body. Thus we can write
F = m*a (acording to Newton's ...

Solution Summary

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