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Chapter 5: Q35. (page 134)
Given that the acceleration of gravity at the surface of Mars is 0.38 of what it is on Earth, and that Mars鈥� radius is 3400 km, determine the mass of Mars.
The mass of Mars is .
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Two objects attract each other gravitationally with a force of when they are 0.25 m apart. Their total mass is 4.00 kg. Find their individual masses.
In the International Space Station which orbits Earth, astronauts experience apparent weightlessness because
(a) the station is so far away from the center of the Earth.
(b) the station is kept in orbit by a centrifugal force that counteracts the Earth's gravity.
(c) the astronauts and the station are in free fall towards the center of the Earth.
(d) there is no gravity in space.
(e) the station's high speed nullifies the effects of gravity.
The Earth moves faster in its orbit around the Sun in January than in July. Is the Earth closer to the Sun in January, or in July? Explain. [Note. This is not much of a factor in producing the seasons鈥攖he main factor is the tilt of the Earth鈥檚 axis relative to the plane of its orbit.]
Every few hundred years most of the planets line up on the same side of the Sun. Calculate the total force on the Earth due to Venus, Jupiter, and Saturn, assuming all four planets are in a line, Fig. 5鈥�44. The masses are,,and the mean distances of the four planets from the Sun are 108, 150, 778, and 1430 million km. What fraction of the Sun鈥檚 force on the Earth is this?
A hypothetical planet has a mass 2.80 times that of Earth, but has the same radius. What is g near its surface?
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