Chapter 7: Q26Q (page 170)
Show on a diagram how your CM shifts when you move from a lying position to a sitting position.
Short Answer
The diagram showing the center of mass at lying and sitting positions is as given follows:
Chapter 7: Q26Q (page 170)
Show on a diagram how your CM shifts when you move from a lying position to a sitting position.
The diagram showing the center of mass at lying and sitting positions is as given follows:
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Get started for freeRain is falling at the rate of \({\bf{2}}{\bf{.5}}\;{{{\bf{cm}}} \mathord{\left/{\vphantom {{{\bf{cm}}} {\bf{h}}}} \right.\\} {\bf{h}}}\) and accumulates in a pan. If the raindrops hit at \({\bf{8}}{\bf{.0}}\;{{\bf{m}} \mathord{\left/{\vphantom {{\bf{m}} {\bf{s}}}} \right. \\} {\bf{s}}}\), estimate the force on the bottom of a \({\bf{1}}{\bf{.0}}\;{{\bf{m}}^{\bf{2}}}\) pan due to the impacting rain which we assume does not rebound. Water has a mass of \({\bf{1}}{\bf{.00 \times 1}}{{\bf{0}}^{\bf{3}}}\;{\bf{kg}}\;{\bf{per}}\;{{\bf{m}}^{\bf{3}}}\).
(I) The distance between a carbon atom \(\left( {{\bf{m = 12}}\;{\bf{u}}} \right)\) and an oxygen atom \(\left( {{\bf{m = 16}}\;{\bf{u}}} \right)\) in the CO molecule is \({\bf{1}}{\bf{.13 \times 1}}{{\bf{0}}^{{\bf{10}}}}\;{\bf{m}}\) How far from the carbon atom is the center of mass of the molecule?
(a) Calculate the impulse experienced when a 55-kg person lands on firm ground after jumping from a height of 2.8 m.
(b) Estimate the average force exerted on the person’s feet by the ground if the landing is stiff-legged, and again
(c) with bent legs. With stiff legs, assume the body moves 1.0 cm during impact, and when the legs are bent, about 50 cm. [Hint: The average net force on him, which is related to impulse, is the vector sum of gravity and the force exerted by the ground. See Fig. 7–34.] We will see in Chapter 9 that the force in (b) exceeds the ultimate strength of bone (Table 9–2).
FIGURE 7-34 Problem 24.
(I) A 110-kg tackler moving at 2.5 m/s meets head-on (and holds on to) an 82-kg halfback moving at 5.0 m/s. What will be their mutual speed immediately after the collision?
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