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Chapter 6: Q6-14Q (page 138)
Experienced hikers prefer to step over a fallen log in their path rather than stepping on top and stepping down on the other side. Explain.
Hikers do this to conserve energy.
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The Lunar Module could make a safe landing if its vertical velocity at impact is or less. Suppose that you want to determine the greatest height h at which the pilot could shut off the engine if the velocity of the lander relative to the surface at that moment is (a) zero; (b) downward; (c) upward. Use conservation of energy to determine h in each case. The acceleration due to gravity at the surface of the Moon is .
(III) A block of mass m is attached to the end of a spring (spring stiffness constant k), Fig. 6–43. The mass is given an initial displacement \({x_{\rm{o}}}\) from equilibrium, and an initial speed \({v_{\rm{o}}}\). Ignoring friction and the mass of the spring, use energy methods to find (a) its maximum speed, and (b) its maximum stretch from equilibrium, in terms of the given quantities.
Why is it easier to climb a mountain via a zigzag trail rather than to climb straight up?
Describe the energy transformations when a child hops around on a pogo stick (there is a spring inside).
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