Please solve and provide steps! Correct answers are included.

81 Linear Momentum A 26.2 kg dog is running northward at 2.70 mils. while a 5.30 kg cat is running eastward at 3.04 mfs. Their 74.0 kg owner has the same momentum as the two pets taken together. Find the direction and magnitude of the owner's velocity. 8-2 Impulse To make a bounce pass, a player throws a 0.60 kg basketball toward the floor. The ball hits the floor with a Speed of 5.4 mis at an angle of 65 to the vertical. If the ball rebounds with the same speed and angle. what was the impulse delivered to it by the oor? 8-3 Conservation of Momentum An object initially at rest breaks into two pieces as the result of an explosion. One piece has twice the kinetic energy of the other piece. What is the ratio of the masses of the two pieces? Which piece has the larger mass? 8-4 Elastic Collision The collision between a hammer and a nail can be considered approximately elastic. Calculate the kinetic energy acquired by a 12 gram nail when it is struck by a 550 gram hammer moving with an initial speed of4.5 mls. 85 Inelastic Collision _ A 0.430 kg block is attached to a horizontal spring that is at its equilibrium length, and whose force constant is 20.0 Nim. The block rests on a frictionless surface. A 00500 kg wad of putty is thrown horizontally at the block. hitting it with a speed of 2.30 ms and sticking. How far does the puttyblock system compress the spnng? ' 8-1 Vo = 0.980 m/s at 0 = 77.2" 9-1 F = 42.5 N 8-2 Ap = 2.74 kg m/s 9-2 Et = -2.14 N m 8-3 m1/m2 = 2 Forearm rotates clockwise 8-4 KEnall = 0.465 J 8-5 x = .0371 m 9-3 m = 42.0 kg 8-6 Both P and KE cannot be conserved x = 0.740 m 8-7 Xcm = 4.67 x 105 m, which is 1.70 x 105 m below surface