3. [-/2 Points] DETAILS MY NOTES OSUNIPHYS1 13.3.P.032. (a) Evaluate the gravitational potential energy (in ]) between two 6.00 kg spherical steel balls separated by a center-to-center distance of 21.0 cm. (b) Assuming that they are both initially at rest relative to each other in deep space, use conservation of energy to find how fast (in m/s) will they each be traveling upon impact. Each sphere has a radius of 5.50 cm. m/s Additional Materials Reading Submit Answer 4. [-/1 Points] DETAILS MY NOTES DSUNIPHYS1 13.3.WA.024. When a small object is launched from the surface of a fictitious planet with a speed of 52.2 m/s, its final speed when it is very far away from the planet is 31.6 mys. Use this information to determine the escape speed of the planet. m/'s Additional Materials Reading Submit Answer 5. [-/2 Points] DETAILS MY NOTES DSUNIPHYS1 13.4.P.037. Two planets in circular orbits around a star have speeds of v and 3v. (a) What is the ratio of the orbital radii of the planets? (b) What is the ratio of their periods? Additional Materials Reading6. [-/3 Points] DETAILS MY NOTES OSUNIPHYS1 13.5.WA.038. NASA launches a satellite into orbit at a height above the surface of the Earth equal to the Earth's mean radius. The mass of the satellite is 550 kg. (Assume the Earth's mass is 5.97 x 1024 kg and its radius is 6.38 x 105 m.) (a) How long does it take the satellite to go around the Earth once? h (b) What is the orbital speed of the satellite? m/s (c) How much gravitational force does the satellite experience? IN Additional Materials Reading Submit Answer 7. [-/3 Points] DETAILS MY NOTES OSUNIPHYS1 13.P.062. Calculate the values of g at Earth's surface (in m/s ) for the following changes in Earth's properties. (a) its mass is quadrupled and its radius is tripled m/s (b) its mass density is quadrupled and its radius is unchanged m/s2 (c) its mass density is tripled and its mass is unchanged m/s Additional Materials Li Reading