PHYS Questions
Problem Set #12
- At new moon, the Earth, Moon, and Sun are in a line. Find the direction and magnitude of the net gravitation force exerted on (a) the Earth, (b) the Moon, (c) the Sun.
- Gravitational Tug of War At some point along the direct path from the center of the Earth to the center of the Moon, the gravitational force of attraction on a spacecraft from the Moon becomes greater than the force from the Earth. (a) How far from the center of the Earth does this occur? (b) At this location, how far is the spacecraft from the surface of the Moon? How far is it from the center of the Earth?
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- GPS Satellites GPS satellites orbit at an altitude of 2.0 * 107m. Find (a) the orbital period, and (b) the orbital speed of such a satellite.
- Sputnik The first artificial satellite to orbit the Earth was Sputnik I, launched October 4th, 1957. The mass of Sputnik I was 83.5 kg, and its distances from the center of the Earth at apogee were 7330 km and 6610 km, respectively. Find the difference in gravitational potential energy for Sputnik I as it moved from apogee to perigee.
- Meteorites from Mars Several Meteorites found in Antarctica are believed to have come from Mars, including famous ALH84001 meteorite that was once thought to contain fossils of ancient life on Mars. Meteorites from Mars are thought to get to Earth by being blasted off the Martian surface when a large object (such as an asteroid or comet) crashes into a planet. What speed must a rock have to escape Mars?
