which states that each body in the universe attracts every other body with a force that varies directly with the mass product and inversely with the square of the distance between the centre of the two masses. G m, m2 The equation describing gravitational force is F= 6.67 10 N m2 kg. where G is the gravitational constant r2 The table below contains information about selected planets in the solar system. Planet Neptune Jupiter Mercury Earth Mass (m) 317.893 17.23 0.0558 1 Radius (r) 57.9 4496.6 778.3 149.6 87.969 Period (T) 365.256 60189 4332.589 x(5.976 x 102 kg) [which is the mass of Earth], Radius x10 km [orbital radius around the sun], and (T) (23 h 56 m 04.098 s) [sidereal day]. where Mass Period 1 Calculate the gravitational force between Earth and Mercury when they are only a distance apart equal to the difference between their solar orbits. 2 The estimates for Pluto are not as accurate as those for the inner planets. If the distance between Neptune and Pluto is thought to be 1403.4 x 10° km when they are closest, and gravitational force exerted on Neptune by Pluto is 1.33 x 1040 N, calculate the mass of Pluto. 3 Calculate the radius of Earth which will correspond with a gravitational force of 9.801 N being exerted on a mass of 1 kg on the surface. Give your answer to the nearest kilometre. Somewhere between each planet there will exist a point where the gravitational effects are the same (ignoring other bodies). Find out how far this point will be from Earth towards Jupiter if both are in line with the sun. 4 Gravitational force decays with the inverse square of the distance from the body. Calculate the gravitational field if: strength (g) of the Aussat geostationary satellite using the equation g g Aussat's altitude above Earth is 35 800 km, the radius of Earth is 6377 km, and g = 9.8 N kg. 5 0.22 N kg

which states that each body in the universe attracts every other body with a force that varies directly with the mass product and inversely with the square of the distance between the centre of the two masses. G m, m2 The equation describing gravitational force is F= 6.67 10 N m2 kg. where G is the gravitational constant r2 The table below contains information about selected planets in the solar system. Planet Neptune Jupiter Mercury Earth Mass (m) 317.893 17.23 0.0558 1 Radius (r) 57.9 4496.6 778.3 149.6 87.969 Period (T) 365.256 60189 4332.589 x(5.976 x 102 kg) [which is the mass of Earth], Radius x10 km [orbital radius around the sun], and (T) (23 h 56 m 04.098 s) [sidereal day]. where Mass Period 1 Calculate the gravitational force between Earth and Mercury when they are only a distance apart equal to the difference between their solar orbits. 2 The estimates for Pluto are not as accurate as those for the inner planets. If the distance between Neptune and Pluto is thought to be 1403.4 x 10° km when they are closest, and gravitational force exerted on Neptune by Pluto is 1.33 x 1040 N, calculate the mass of Pluto. 3 Calculate the radius of Earth which will correspond with a gravitational force of 9.801 N being exerted on a mass of 1 kg on the surface. Give your answer to the nearest kilometre. Somewhere between each planet there will exist a point where the gravitational effects are the same (ignoring other bodies). Find out how far this point will be from Earth towards Jupiter if both are in line with the sun. 4 Gravitational force decays with the inverse square of the distance from the body. Calculate the gravitational field if: strength (g) of the Aussat geostationary satellite using the equation g g Aussat's altitude above Earth is 35 800 km, the radius of Earth is 6377 km, and g = 9.8 N kg. 5 0.22 N kg

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which states that each body in the universe attracts every other body with a force that varies directly with the
mass product and inversely with the square of the distance between the centre of the two masses.
G m, m2
The equation describing gravitational force is F=
6.67 10 N m2 kg.
where G is the gravitational constant
r2
The table below contains information about selected planets in the solar system.
Planet
Neptune
Jupiter
Mercury
Earth
Mass (m)
317.893
17.23
0.0558
1
Radius (r)
57.9
4496.6
778.3
149.6
87.969
Period (T)
365.256
60189
4332.589
x(5.976 x 102 kg) [which is the mass of Earth],
Radius x10 km [orbital radius around the sun], and
(T) (23 h 56 m 04.098 s) [sidereal day].
where
Mass
Period
1
Calculate the gravitational force between Earth and Mercury when they are only a distance apart equal
to the difference between their solar orbits.
2
The estimates for Pluto are not as accurate as those for the inner planets. If the distance between
Neptune and Pluto is thought to be 1403.4 x 10° km when they are closest, and gravitational force
exerted on Neptune by Pluto is 1.33 x 1040 N, calculate the mass of Pluto.
3 Calculate the radius of Earth which will correspond with a gravitational force of 9.801 N being exerted
on a mass of 1 kg on the surface. Give your answer to the nearest kilometre.
Somewhere between each planet there will exist a point where the gravitational effects are the same
(ignoring other bodies). Find out how far this point will be from Earth towards Jupiter if both are in line
with the sun.
4
Gravitational force decays with the inverse square of the distance from the body. Calculate the gravitational field
if:
strength (g) of the Aussat geostationary satellite using the equation g g
Aussat's altitude above Earth is 35 800 km,
the radius of Earth is 6377 km, and
g = 9.8 N kg.
5
0.22 N kg

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