28. An elliptical orbit can be analyzed using conservation of angular momentum and mechanical energy. The distance between Earth, mass 5.972 × 1024 kg, and Sun, mass 1.989 × 1030 kg, varies from 147 to 152 Gm. (a) Use the formula UG = – Gm1m2/r to find the change in potential energy that occurs moving from the farthest distance to the nearest. (b) Given that the speed of Earth at its farthest point is 29.29 km/s, use conservation of energy to find its speed at the nearest point. (c) Calculate the angular momentum of Earth at each extreme and show that it is equal.

29. Use concepts from the previous problem to find the speed of Pluto at each extreme of its orbit about the Sun – distance varying from 4.44 × 1012 m to 7.38 × 1012 m. Hint: use a system of equations based on conservation of energy and angular momentum.

A satellite is in orbit above a planet. Which of the following is TRUE? 1. The total energy of the satellite is positive 2. The kinetic energy and GPE of the satellite is negative 3. The kinetic energy and GPE of the satellite is positive 4.The total energy and GPE of the satellite is negative

A planet orbits its star in an elliptical orbit. Which of these quantities do not change as the planet orbits? O None of these quantities change as the planet orbits. O All of these quantities change as the planet orbits. O The planet's angular momentum O The planet's potential energy O The planet's kinetic energy

A rotating space station consisting of a ring of radius 40m provides the same gravity as earth. What is the kinetic energy of a stationary 10kg object on the space station express answers in joules

A 1000 kg object is found heading towards the Earth. At the moment it is 4 Earth radii away from the surface of our planet the asteroid is moving at 100 m/s. If it collides with our planet, how fast will it be moving right before it hits the surface? How much kinetic energy is going to be released in this collision?

Calculate the kinetic energy of a 2.1 * 10 ^ 3 kg satellite moving at a speed of 8.5 (km)/s. Round your answer to 2 significant digits.

An asteroid has a mass of m = 2.6 x 106 kg and is approaching Earth. When the asteroid is exactly 3 radii away from the Earth's centre,  it's speed relative to the Earth's centre is u = 8.7 x 103 ms-1. The asteroid then falls to the Earth's surface, but remains intact without dissipating any energy as it passes through the Earth's atmosphere. If the rotation of the asteroid and the Earth is ignored, what is the kinetic energy of the asteroid just before it hits the ground?  The Earth has mass ME = 5.98 x 1024 kg and a radius of 6.38 x 106 m. To find the relevant potential energies, you must use G = 6.67 x 10-11 N m2 kg-2

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Calculate the gravitational potential energy of a 8.9-kg mass on the surface of the Earth. Express your answer using two significant figures. Calculate the gravitational potential energy of a 8.9-kg mass at an altitude of 410 km. Express your answer using two significant figures.