You stand looking directly North on an icy pond. Your friend tosses a solid ball with a radius 25.4 cm weighing 100 g onto the ice so that it slides West at 1.3 m/s with a backspin* of 62 s", The closest the ball gets to you is 4.1 m. (a) What is the spin angular momentum of the ball? S = 0 kg m*2/s E + 0.16 kg m 2/5 / N + 0 kg m"2/s (b) What is the translational angular momentum of the ball around your position when the ball is directly in front of you? L = D kg m/2/s E + 0 kg m 2/s N + 0.533 kg m 2/5 U (c) What is the total angular momentum of the ball around your position when the ball is directly in front of you {in coordinate form}? J = D kg m/2/s x N+ -0.37 kg ma2/5 x U (d) What is the total angular momentum of the ball around your position when the ball is directly in front of you {in vector form}? J = IN +C (e) What is the position of the ball 6.9 s after it passes you? F = E + N + (f) What is the total angular momentum of the ball at the point in part (e)? J = E + IN + [ JU * That is, it spins in the opposite direction as it would if it were rolling