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Chapter 5: Q17. (page 131)
The Sun is below us at midnight, nearly in line with the Earth's centre. Are we then heavier at midnight, due to the Sun's gravitational force on us, than we are at noon? Explain.
The weight becomes heavier due to the gravitational force of the Sun and Earth at midnight.
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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 horizontal force of 310 N is exerted on a 2.0-kg ball as it rotates (at arm鈥檚 length) uniformly in a horizontal circle of radius 0.90 m. Calculate the speed of the ball.
The source of the Mississippi River, is closer to the centre of the Earth than is its outlet in Louisiana (because the Earth is fatter at the equator than at the poles). Explain how the Mississippi can flow "uphill."
Our Sun revolves about the center of our Galaxy (\({{\bf{m}}_{\bf{g}}} \approx {\bf{4 \times 1}}{{\bf{0}}^{{\bf{41}}}}{\bf{\;kg}}\)) at a distance \({\bf{3 \times 1}}{{\bf{0}}^{\bf{4}}}\;{\bf{light - year}}\) (\({\bf{1}}\;{\bf{ly = 3 \times 1}}{{\bf{0}}^{\bf{8}}}\;{\bf{m/s \times 3}}{\bf{.16 \times 1}}{{\bf{0}}^{\bf{7}}}\;{\bf{s/yr \times 1}}\;{\bf{yr}}\)). What is the period of the Sun鈥檚 orbital motion about the centre of the Galaxy?
A 975-kg sports car (including driver) crosses the rounded top of a hill (radius = 88.0 m) at 18.0 m/s. Determine (a) the normal force exerted by the road on the car, (b) the normal force exerted by the car on the 62.0-kg driver, and (c) the car speed at which the normal force on the driver equals zero.
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