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Chapter 5: Q45. (page 134)
A space shuttle releases a satellite into a circular orbit 780 km above the Earth. How fast must the shuttle be moving (relative to Earth鈥檚 center) when the release occurs?
The speed of the shuttle is .
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Calculate the force of Earth鈥檚 gravity on a spacecraft 2.00 Earth radii above the Earth鈥檚 surface if its mass is 1850 kg.
Which pulls harder gravitationally, the Earth on the Moon, or the Moon on the Earth? Which accelerates more?
(a) The Earth on the Moon; the Earth.
(b) The Earth on the Moon; the Moon.
(c) The Moon on the Earth; the Earth.
(d) The Moon on the Earth; the Moon.
(e) Both the same; the Earth.
(f) Both the same; the Moon.
Table 5鈥�3 gives the mean distance, period, and mass for the four largest moons of Jupiter (those discovered by Galileo in 1609). Determine the mass of Jupiter: (a) using the data for Io; (b) using data for each of the other three moons. Are the results consistent?
Table 5-3 Principal Moons of Jupiter | |||
Moon | Mass(kg) | Period | Mean distance from Jupiter (km) |
Io | \({\bf{8}}{\bf{.9 \times 1}}{{\bf{0}}^{{\bf{22}}}}\) | 1.77 | \({\bf{422 \times 1}}{{\bf{0}}^{\bf{3}}}\) |
Europe | \({\bf{4}}{\bf{.9 \times 1}}{{\bf{0}}^{{\bf{22}}}}\) | 3.55 | \({\bf{671 \times 1}}{{\bf{0}}^{\bf{3}}}\) |
Ganymede | \({\bf{15 \times 1}}{{\bf{0}}^{{\bf{22}}}}\) | 7.16 | \({\bf{1070 \times 1}}{{\bf{0}}^{\bf{3}}}\) |
Callisto | \({\bf{11 \times 1}}{{\bf{0}}^{{\bf{22}}}}\) | 16.7 | \({\bf{1883 \times 1}}{{\bf{0}}^{\bf{3}}}\) |
A child sitting 1.20 m from the center of a merry-go round moves with a speed of.Calculate (a) the centripetal acceleration of the child and (b) the net horizontal force exerted on the child.
What is the apparent weight of a astronaut from the centre of the Moon in a space vehicle (a) moving at constant velocity and (b) accelerating toward the Moon at ? State 鈥渄irection鈥� in each case?
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