You are playing croquet with some friends. assume the mass of the mallet is 3m and the mass of the ball is m. the time of impact between the mallet and the ball is 1.00ms. you give your mallet head an initial velocity of 2.00 m/s.

a. with what velocity does your ball roll away after you hit it if the collision is elastic? assume the final velocity of the mallet head is 1.00m/s.

b. if m=0.454kg, what force did the mallet head exert on the ball?

c. if the mallet stuck to the ball, what is the final velocity of the mallet-ball combination?

People with normal vision cannot focus their eyes underwater if they aren't wearing a face mask or goggles and there is water in contact with their eyes. in a simplified model of the human eye, the aqueous and vitreous humors and the lens all have a refractive index of 1.40, and all the refraction occurs at the cornea, whose vertex is 2.60 cm from the retina.with the simplified model of the eye, what corrective lens (specified by focal length as measured in air) would be needed to enable a person underwater to focus an infinitely distant object? (be careful-the focal length of a lens underwater is not the same as in air! assume that the corrective lens has a refractive index of 1.62 and that the lens is used in eyeglasses, not goggles, so there is water on both sides of the lens. assume that the eyeglasses are 2.05cm in front of the eye.)