Special Problem Set 1
Prob 1. A person weighs 200 lb on the surface of the earth. What is the person’s mass expressed in slugs. What would the person weigh on Mars expressed in pounds.
Prob 2. What is the magnitude of the gravitational attraction between Saturn and Earth expressed in N. Assume that Earth and Saturn are aligned so that a straight line can be drawn from the sun through Earth and then to Saturn.
Prob 3. An astronaut weighs 30 lbs on the surface of the moon. What would he weigh in N on the surface of the earth.
Prob 4. An astronaut weighs 150 lbs on the surface of the earth. What does she weigh if she is resting in the space shuttle that is orbiting 200 mi. above the surface of the earth.
Prob 5. A satellite would have a mass of 200 kg on the surface of the moon. Determine the weight of the satellite in pounds when it is in orbit 10,000 mi. above the surface of the earth.
Prob 6. A body has a mass of 2000 kg. Determine the weight of the body expressed in N if it is (a) located on the surface of the earth, (b) it is located in a satellite orbiting at an altitude of 30,000 m, and (c) it is located on the top of mountain on earth whose peak is 6 Km above sea level.
Prob 7. At what height above the surface of the earth expressed in m would the weight of an astronaut be half of what it is on the surface of the earth.
Prob 8. Determine the gravitational constant g for the planet Venus. Express your answer in ft/s2.
Planet / Mass(kg) / Radius
(m) / Distance from Sun (km)
Mercury / 3.30 x 10ˆ23 / 2,440,000 / 5.79x107
Venus / 4.87 x 10ˆ24 / 6,051,000 / 1.082x108
Earth / 5.97 x 10ˆ24 / 6,378,000 / 1.496x108
Mars / 6.42 x 10ˆ23 / 3,397,000 / 2.279x108
Jupiter / 1.90 x 10ˆ27 / 71,492,000 / 7.783x108
Saturn / 5.69 x 10ˆ26 / 60,268,000 / 1.426x109
Uranus / 8.66 x 10ˆ25 / 25,559,000 / 2.871x109
Neptune / 1.03 x 10ˆ26 / 24,764,000 / 4.497x109
Pluto / 1.31 x 10ˆ22 / 1,160,000 / 5.914x109
Mass
(kg) / Radius
(m) / Distance from Earth (km)
Moon / 7.35 x 10ˆ22 / 1,738,000 / 384,403
G = 3.439 x 10-8 ft4/(lb s4) or G = 6.673 x 10-11 m3/(kg s2)