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PhysicsQ&A Library**38. A quarterback fires off a pass with the football traveling at a speed of 20 m/s and witha rotational speed of 5 revolutions per second. The mass of the football is 400 g and its rota-tional inertia is 2 x 10-3 kg m2a) What is the total kinetic energy (translational plus rotational) of the football just as itis thrown?b) If the ball rises to a maximum height of 10 m above the point where it left thequarterback's hand, what will be its translational and rotational kinetic energies at thatpoint? [Neglect any effects of air resistance.]Question

Asked Nov 4, 2019

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Step 1

Consider the mass of the football be *m*, the translational speed of the football be *v*, the rotational speed of the football be *ω*, and the moment of inertia of the football be *I*.

The given values are,

Step 2

**(a)**

The total kinetic energy of the football as just it is thrown, that is, translational and rotational kinetic energy, can be calculated as,

Step 3

**(b)**

Write the expression for the potential energy of the f...

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