SAMPLE LESSONS > A LEVEL GRAVITATIONAL FIELD
G FORCE & FIELD STRENGTH
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WORKED EXAMPLES
EASY
Two isolated masses m_{1} and m_{2} are separated by a distance r.
Which expression gives the gravitational field strength caused by m_{1} at m_{2}?
Answer
MEDIUM 1
The gravitational field strength outside a uniform sphere of mass M is the same as that of a point mass M at the centre of the sphere. The Earth, which may be assumed to be spherical and of radius r, has a gravitational field strength g at its surface.
Which expression gives the gravitational field strength at a height h above the ground?
Answer
MEDIUM 2
Why does the Moon stay in its orbit at a constant distance from the Earth?
A |
The gravitational pull of the Earth on the Moon is just sufficient to cause the centripetal acceleration of the Moon |
B |
The gravitational pull of the Earth on the Moon balances the gravitational pull of the Moon on the Earth |
C |
The gravitational pull of the Moon on the Earth is negligible at this distance |
D |
The centripetal force the Earth exerts on the Moon balances the centripetal force the Moon exerts on the Earth |
E |
The centripetal force the Earth exerts on the Moon balances the gravitational force the Earth exerts on the Moon. |
Answer
MEDIUM 3
A boy can jump to a maximum height of h on the surface of Earth. If he were on another planet whose radius is four times that of Earth’s, and density is only half that of Earth’s, determine the maximum height the boy can attain when he jumps.
Answer
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