4. The Hubble Space Telescope (HST) orbits in a circular orbit about 547. [km] above the surface of the Earth. It has a mass of approximately 11.1 x 103 [kg]. (a) Calculate HST's centripetal acceleration. (b) Calculate the angular velocity of HST. (c) Calculate the linear velocity of HST. (d) Calculate the gravitational force on HST due to the Earth. (e) Calculate the kinetic energy of HST as it orbits. (f) If HST were orbiting in a circular orbit at a higher altitude than its actual orbit would its kinetic energy be larger, smaller, or the same? Explain. (g) If HST were in a higher orbit would the time it takes to complete one orbit of the Earth be longer, shorter, or the same as the time for its actual orbit? Explain.4. The Hubble Space Telescope (HST) orbits in a circular orbit about 547. [km] above the surface of the Earth. It has a mass of approximately 11.1 x 103 [kg]. (a) Calculate HST's centripetal acceleration. (b) Calculate the angular velocity of HST. (c) Calculate the linear velocity of HST. (d) Calculate the gravitational force on HST due to the Earth. (e) Calculate the kinetic energy of HST as it orbits. (f) If HST were orbiting in a circular orbit at a higher altitude than its actual orbit would its kinetic energy be larger, smaller, or the same? Explain. (g) If HST were in a higher orbit would the time it takes to complete one orbit of the Earth be longer, shorter, or the same as the time for its actual orbit? Explain