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:
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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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A bullet of mass \(m{\bf{ = 0}}{\bf{.0010}}\;{\bf{kg}}\) embeds itself in a wooden block with mass \(M{\bf{ = 0}}{\bf{.999}}\;{\bf{kg}}\), which then compresses a spring \(\left( {k{\bf{ = 140}}\;{\bf{N/m}}} \right)\) by a distance \(x{\bf{ = 0}}{\bf{.050}}\;{\bf{m}}\) before coming to rest. The coefficient of kinetic friction between the block and table is \(\mu {\bf{ = 0}}{\bf{.50}}\).
(a) What is the initial velocity (assumed horizontal) of the bullet?
(b) What fraction of the bullet's initial kinetic energy is dissipated (in damage to the wooden block, rising temperature, etc.) in the collision between the bullet and the block?
A 0.060-kg tennis ball, moving with a speed of 5.50 m/s has a head-on collision with a 0.090-kg ball initially moving in the same direction at a speed of 3.00 m/s. Assuming a perfectly elastic collision, determine the speed and direction of each ball after the collision?
A 52-kg woman and a 72-kg man stand 10.0 m apart on nearly frictionless ice.
(a) How far from the woman is their CM?
(b) If each holds one end of a rope, and the man pulls on the rope so that he moves 2.5 m, how far from the woman will he be now?
(c) How far will the man have moved when he collides with the woman?
(a) Derive a formula for the fraction of kinetic energy lost,\(\Delta KE/KE\), in terms of m and M for the ballistic pendulum collision of Example 7–9. (b) Evaluate for\(m = 18.0\;{\rm{g}}\)and mass\(M = 380\;{\rm{g}}\).
A child in a boat throws a 5.30-kg package out horizontally with a speed of 10.0 m/s Fig. 7–31. Calculate the velocity of the boat immediately after, assuming it was initially at rest. The mass of the child is 24.0 kg and the mass of the boat is 35.0 kg.

FIGURE 7-31
Problem 7.
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