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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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A car at the Indianapolis 500 accelerates uniformly from the pit area, going from rest to 270 km/h in a semicircular arc with a radius of 220 m. Determine the tangential and radial acceleration of the car when it is halfway through the arc, assuming constant tangential acceleration. If the curve were flat, what coefficient of static friction would be necessary between the tires and the road to provide this acceleration with no slipping or skidding?
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?
Would it require less speed to launch a satellite (a) toward the east or (b) toward the west? Consider the Earth鈥檚 rotation direction and explain your choice.
Theasteroid Icarus, though only a few hundred meters across, orbits the Sun like the planets. Its period is\({\bf{410}}{\rm{ }}{\bf{d}}\). What is its mean distance from the Sun?
Can a particle with constant speed be accelerating? What if it has constant velocity? Explain.
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