1. If you were walking on the planet Mars, calculate the surface gravity you wou

Question

1. If you were walking on the planet Mars, calculate the surface gravity you would experience? The mass of Mars is mm = 6.39 1023 kg and the radius is rm = 2107km (Express this in terms of Earth gravity)

2. Calculate the radius of a black hole’s event horizon if a burned-out star with a mass 150 times our sun collapses under its own gravity

3. The dwarf planet Ceres has an orbital period of 4.6 yrs and an eccentricity of 0.0758. Calculate the semi-major axis of its orbit.

4. Four identical masses of 1000 kg each are placed at the corners of a square whose side length is 20 cm. What is the net magnitude and direction of the gravitational force on one due to the other three?

5. A disk of radius R has a mass M distributed uniformly. Find the gravitational force (magnitude and direction) between this disk and a particle of mass m located a distance x above the center of the ring. Hint: First, divide the disk into infinitesimally small thin concentric rings; then, calculate the gravitational potential energy of the system between the ring and the particle. Next, you’ll need the gravitational force due to each ring and finally, integrate to find the total force

Explanation / Answer

Surface gravity on a planet = G Mm / Rm^2

      = (6.67 x 10^-11 x 6.39 x 10^23 ) / ( 2107 x 10^3)^2

      = 9.60 m /s^2

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