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WorksheetsGravitational Field
Total questions: 10
Worksheet time: 46mins
The Earth may be assumed to be spherical with radius r and density p.
Which equation correctly relates the gravitational field strength g at its surface to these quantities and
the gravitational constant G?
g=G/ r2
g=3 G \ 4 π r p
g= G 4 π r p \ 3
g= G 4 π r2 p \ 3
The gravitational field strength outside a uniform sphere of mass Mis the same as that of a point mass Mat 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 height h above the ground?
g r2 / (r + h)2
g r / r + h
g (r- h) / r
g (r-h)2 / r2
Two isolated masses m1 and m2 are separated by a distance r. Which expression gives the gravitational field strength caused by m1 at m2?
G m1m2 / r
G m1 m2 / r2
G m1 / r2
G m2 / r2
What is numerically equal to the gravitational field strength at a point P on the Earth's surface?
the acceleration of free fall at P.
the change in potential energy per unit distance from P.
the force acting on any body placed at P.
the work done in bringing unit mass from infinity to P.
The acceleration of free fall on the Earth's surface may be taken to be 6 times the value on the Moon's surface. The mean density of the Earth may be taken to be 5/3 times the value of the Moon. The radius of the Earth is rE and that of the Moon is rM. What is the ratio rE / rM ?
1.9
3.6
6
10
Which statement about a uniform gravitational field is true?
Its magnitude is the same in all directions.
The gravitational potential has the same value at all points within it.
Its direction is opposite to the direction of motion of a test mass released in it.
Its field strength is the same at all points within it.
A body of mass 20 kg mass is placed 4 m
above the Earth's surface. The value of g
may be taken as lOms-2 . What are the gravitational field strength and gravitational force acting on the body?
A
B
C
D
A mass m is released just above the surface of a planet with mass M and radius R . Which expression gives its initial gravitational acceleration?
GmM / R
GmM / R3
G M / R2
GmM / 2 R
The Earth may be assumed to be spherical with mass M and radius R, with acceleration of free fall g at its surface. Which equation correctly shows how the these quantities?
G = g M / R2
G = R2 / g M
G = R2 M / g
G = M / g R2
At the Earth's surface, the gravitational field strength is about lO N kg-1. At a point outside the Earth and a distance x from its centre, the field strength is about 5 N kg-1. Which expression gives an approximate value for the radius of the Earth?
x/5
x / 2 √2
x / 2
x / √2
