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Chapter 7: Q56P (page 170)
Assume that your proportions are the same as those in Table 7鈥�1, and calculate the mass of one of your legs.
The mass of one of your legs is \(10.89\;{\rm{kg}}\).
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An atomic nucleus initially moving at 320 m/s emits an alpha particle in the direction of its velocity, and the remaining nucleus slows to 280 m/s. If the alpha particle has a mass of 4.0 u and the original nucleus has a mass of 222 u, what speed does the alpha particle have when it is emitted?
Two people, one of mass 85 kg and the other of mass 55 kg, sit in a rowboat of mass 58 kg. With the boat initially at rest, the two people, who have been sitting at opposite ends of the boat, 3.0 m apart from each other, now exchange seats. How far and in what direction will the boat move?
Use Table 7鈥�1 to calculate the position of the CM of an arm bent at a right angle. Assume that the person is 155 cm tall.
A golf ball rolls off the top of a flight of concrete steps of total vertical height 4.00 m. The ball hits four times on the way down, each time striking the horizontal part of a different step 1.00 m lower. If all collisions are perfectly elastic, what is the bounce height on the fourth bounce when the ball reaches the bottom of the stairs?
The masses of the Earth and Moon are \({\bf{5}}{\bf{.98 \times 1}}{{\bf{0}}^{{\bf{24}}}}\;{\bf{kg}}\) and \({\bf{7}}{\bf{.35 \times 1}}{{\bf{0}}^{{\bf{22}}}}\;{\bf{kg}}\), respectively, and their centers are separated by \({\bf{3}}{\bf{.84 \times 1}}{{\bf{0}}^{\bf{8}}}\;{\bf{m}}\).
(a) Where is the CM of the Earth鈥揗oon system located?
(b) What can you say about the motion of the Earth鈥揗oon system about the Sun, and of the Earth and Moon separately about the Sun?
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