There is a proposal to place a satellite in orbit around planet Mars.
The satellite is to have an orbital time T equal to the length of a day on Mars.
It can be shown that T2= kR3
whereR is the orbital radius of the satellite and k is a constant.
The ratio :
distance of Mars from the Sun
________________________________ = 1.5
distance of Earth from the Sun
Use this info to answer the following questions 1- 4
2 points
2
Question 1
1.
Outline what is meant by gravitational field strength at a point
2 points
2
Question 2
2.
Newton’s law of gravitation applies to point masses.
Suggest why the law can be applied to a satellite orbiting Mars
3 points
3
Question 3
3.
Mars has a mass of 6.4 × 1023 kg. Determine the value of "k" for Mars.
2 points
2
Question 4
4.
The time taken for Mars to revolve on its axis is 8.9 × 104 s.
Calculate, in m s–1, the orbital speed of the satellite.
1 point
1
Question 5
5.
The mass of a planet is twice that of Earth. Its radius is half that of the radius of Earth. The gravitational field strength at the surface of Earth is g. The gravitational field strength at the surface of the planet is
1 point
1
Question 6
6.
The mass of Earth is ME, its radius is RE and the magnitude of the gravitational field strength at the surface of Earth is g. The universal gravitational constant is G. The ratio g/G is equal to
1 point
1
Question 7
7.
Two isolated point particles of mass 4M and 9M are separated by a distance 1 m. A point particle of mass M is placed a distance x from the particle of mass 9M. The net gravitational force on M is zero.