Estimate the maximum horizontal distance you can throw a baseball (m = 0.145 kg) if you throw it at an angle of a0 = 45° above the horizontal in order to achieve the maximum range. (a) What is the kinetic energy of the baseball just after it leaves your hand? Ignore air resistance and the small distance the ball is above the ground when it leaves your hand. Take the zero of potential energy to be at the ground. (b) At the ball’s maximum height, what fraction of its total mechanical energy is kinetic energy and what fraction is gravitational potential energy? (c) If you throw the baseball at an initial angle of 60° above the horizontal, at its maximum height what fraction of its total energy is kinetic energy and what fraction is gravitational potential energy? (d) What fraction of the total mechanical energy is kinetic energy at the maximum height in the limiting cases of a0 = 0° and a0 = 90°?
Estimate the maximum horizontal distance you can throw
a baseball (m = 0.145 kg) if you throw it at an angle of a0 = 45° above
the horizontal in order to achieve the maximum range. (a) What is the
kinetic energy of the baseball just after it leaves your hand? Ignore air
resistance and the small distance the ball is above the ground when it
leaves your hand. Take the zero of potential energy to be at the ground.
(b) At the ball’s maximum height, what fraction of its total
energy is kinetic energy and what fraction is gravitational potential
energy? (c) If you throw the baseball at an initial angle of 60° above the
horizontal, at its maximum height what fraction of its total energy is kinetic
energy and what fraction is gravitational potential energy? (d) What
fraction of the total mechanical energy is kinetic energy at the maximum
height in the limiting cases of a0 = 0° and a0 = 90°?
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