The International Space Station (ISS) has a mass of about 441,000 kg and orbits at a height of about 4.0 x 105 meters above the surface of Earth. If the average U.S. household uses about 40 billion joules (4.0 x 1010 J) of energy in a year, how many households could be powered for a year by the gravitational potential energy stored in the ISS? The height of the ISS above Earth's surface is small enough that you can still use mgh as a reasonable approximation to calculate the gravitational potential energy.

Suppose that you want to build a tower out of bricks. Suppose that each brick has a mass of 0.5 kg and is 0.1 m tall. You want the tower to be 20 bricks high, and we want to calculate how much energy is required to build it. The physics fact that you need is this: the energy, E (in Joules) required to lift a mass m (in kg) a height h (in m) is E = mgh (where g is the acceleration due to gravity - for this problem, you can take g to be 10 m/s2.) 1. We will assume that no energy is required to place the first brick in the tower, since it is already on the ground. What about the second brick? How high must if be lifted to be placed on top of the first brick? How much energy does that require? What about the third brick? The tenth brick?

The International Space Station, which has a mass of 4.94×105 kg, orbits 258 miles above the Earth's surface, and completes one orbit every 94.3 minutes. What is the kinetic energy of the International Space Station in units of GJ (109 Joules)? (Note: don't forget to take into account the radius of the Earth!) Enter answer here GJ

How much energy is required to move a 1 000-kg object from the Earth’s surface to an altitude twice the Earth’s radius?

An earth-like planet with a mass of 6.00×1024 kg has a space station of mass 4.60×104 kg orbiting it at a distance of 5.00×105 km. What is the gravitational potential energy between the space station and the planet? (We can simplify the Gravitational Constant G to 6.7x10-11 Nm2/kg) (calculate in J)

The International Space Station, which has a mass of 4.65×105 kg, orbits 255 miles above the Earth's surface, and completes one orbit every 92.4 minutes. What is the kinetic energy of the International Space Station in units of GJ (109 Joules)? (Note: don't forget to take into account the radius of the Earth: r_{Earth} = 3959 miles)

How much energy is required to move a 1300 kg object from the Earth's surface to an altitude twice the Earth's radius?

A man weighing 73.4 kg is standing at the 4th floor of a building, which is 15 meters above the ground. How much gravitational potential energy does he have?

The New Horizons spacecraft (mass 478 kg) was launched from earth in 2006 and flew past Pluto in 2015. What minimum amount of work has to be done on a spacecraft of this mass to send it from the earth’s surface to infinitely far away from the earth? Neglect air resistance and the gravitational effects of the sun, moon, and other planets.

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