Please this exercise is due tomorrow morning. Someone help!!! EXERCISES
1. What force of attraction exists between Cynthia and Femi, if their masses are
65 kg and 70 kg, respectively, and they are standing 6 m from each other?
2. Two pieces of stone, each weighing 100 kg are separated by a distance of 5 m.
Calculate the gravitational force of attraction between them.
3. Consider a neutron star with a mass Mequal to the mass of the sun,
1.98 x 10" R. and a radius of 12 x 10 m. What is the free fall acceleration at
its surface
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4 The asteroid has a mass of 1.2 x 10^1 kg and a radius of 470 km. What is the
free fall acceleration at its surface?
5. What is the gravitational potential energy of the moon -carth system? The
masses of the earth and the moon are 598 x 1024 Rg and 7.36 x 10^2 kg.
respectively, and their mean separation distance d is 3.82 x 10 m.
6. A satellite of Mars has an orbital radius of 9.43 x 10 m and a period of
2.83 x 10's. Assuming the orbit is circular, determine the mass of Mars.
7. A 600 kg satellite is in a circular orbit about Earth at a height above Earth equal
to Earth's mean radius. Find (a) the satellite's orbital speed, (b) the period of its
revolution, and the gravitational force acting on it.
8. A satellite of mass m circles the earth in an orbit at a distance from the centre of
the earth. If the radius of the earth is 6.4 x 10* m, calculate the height above the
carth's surface of the parking orbit and the velocity of the satellite in orbit
9. Ten days after it was launched toward Mars in December 1998, the Mars Climate
Orbiter spacecraft (mass 629 kg) was 2.87 x 106 km from the earth and traveling
at 1.4 x 100 km/h relative to the earth. At this time, what were (a) the
spacecraft's kinetic energy relative to the earth and (b) the potential energy of the
earth-spacecraft system?
10. Two satellites are in circular orbits around a planet that has radius 9.0 x 10ºm.
One satellite has mass 68.0 kg. orbital radius 5.0 x 10 m, and orbital speed
4.8 x 10 m/s. The second satellite has mass 84.0 kg and orbital radius
3.0 x 10²m. What is the orbital speed of this second satellite?