You find yourself stranded on Phobos, a moon of Mars, has a radius of 11.1 x 10' m and a mass of 1.07 x 10 kg. You decide to pass the time by playing a one-person game of baseball. You would be the pitcher as well as the batter. With what speed would you have to throw a baseball horizontally so that it would go into a circular orbit just above the surface of Phobos and return to her so you could hit it? O 11.3 m/s 9.81 m/s 15.4 m/s 8.01 m/s O 4.32 m/s

A 75.0 kg astronaut is standing on the surface of Pluto. The mass of Pluto is 1.31 x 10²² kg and the radius of Pluto is 1.15 x 106 m (which is less massive and smaller than the Moon). (a) What is the weight of the astronaut on Pluto? Include the direction as well. (b) What is the acceleration due to gravity at the surface of Pluto? (c) Include a diagram of the situation.

A meteoroid is moving towards a planet. It has mass m = 0.22×109 kg and speed v1 = 3.5×107 m/s at distance R1 = 2.9×107 m from the center of the planet. The radius of the planet is R = 0.46×107 m. The mass of the planet is M = 3.2×1025 kg. There is no air around the. Calculate the value of v in meters per second.

A meteoroid is moving towards a planet. It has mass m = 0.54×109 kg and speed v1 = 4.7×107 m/s at distance R1 = 1.6×107 m from the center of the planet. The radius of the planet is R = 0.78×107 m. The mass of the planet is M = 5.6×1025kg. There is no air around the planet.  a)Enter an expression for the total energy E of the meteoroid at R, the surface of the planet, in terms of defined quantities and v, the meteoroid’s speed when it reaches the planet’s surface. Select from the variables below to write your expression. Note that all variables may not be required.α, β, θ, d, g, G, h, m, M, P, R, R1, t, v, v1 b)Enter an expression for v, the meteoroid’s speed at the planet’s surface, in terms of G, M, v1, R1, and R. c)Calculate the value of v in meters per second.