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Chapter 9: Problem 7
Give three everyday examples of inelastic collisions.
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An \(80-\mathrm{kg}\) astronaut has become detached from the safety line connecting her to the International Space Station. She's \(200 \mathrm{m}\) from the station, at rest relative to it, and has 4 min of air remaining. To get herself back, she tosses a 10 -kg tool kit away from the station at \(8.0 \mathrm{m} / \mathrm{s} .\) Will she make it back in time?
A 60 -kg skater, at rest on frictionless ice, tosses a 12 -kg snowball with velocity \(\vec{v}=53.0 \hat{\imath}+14.0 \hat{\jmath} \mathrm{m} / \mathrm{s},\) where the \(x\) - and \(y\) -axes are in the horizontal plane. Find the skater's subsequent velocity.
A car moving at speed \(v\) undergoes a one-dimensional collision with an identical car initially at rest. The collision is neither elastic nor fully inelastic; \(5 / 18\) of the initial kinetic energy is lost. Find the velocities of the two cars after the collision.
A popcorn kernel at rest in a hot pan bursts into two pieces, with masses \(91 \mathrm{mg}\) and \(64 \mathrm{mg} .\) The more massive piece moves horizontally at \(47 \mathrm{cm} / \mathrm{s}\). Describe the motion of the second piece.
Explain why a high jumper's center of mass need not clear the bar.
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