A 60.0 - kg athlete leaps straight up into the air from atrampoline with an initial speed of 9.0 m/s. The goal of thisproblem is to find the maximum height she attains and herspeed at half maximum height. (a) What are the interactingobjects and how do they interact? (b) Select the heightat which the athlete’s speed is 9.0 m/s as y = 0. What is herkinetic energy at this point? What is the gravitational potentialenergy associated with the athlete? (c) What is her kineticenergy at maximum height? What is the gravitational potentialenergy associated with the athlete? (d) Write a generalequation for energy conservation in this case and solve for themaximum height. Substitute and obtain a numerical answer.(e) Write the general equation for energy conservation andsolve for the velocity at half the maximum height. Substituteand obtain a numerical answer.
A 60.0 - kg athlete leaps straight up into the air from a
trampoline with an initial speed of 9.0 m/s. The goal of this
problem is to find the maximum height she attains and her
speed at half maximum height. (a) What are the interacting
objects and how do they interact? (b) Select the height
at which the athlete’s speed is 9.0 m/s as y = 0. What is her
kinetic energy at this point? What is the gravitational potential
energy associated with the athlete? (c) What is her kinetic
energy at maximum height? What is the gravitational potential
energy associated with the athlete? (d) Write a general
equation for energy conservation in this case and solve for the
maximum height. Substitute and obtain a numerical answer.
(e) Write the general equation for energy conservation and
solve for the velocity at half the maximum height. Substitute
and obtain a numerical answer.
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