Please provide solutions so I can understand them better. Thank you!

6. A 3.0-kilogram steel ball whose initial velocity is 10/20 meters per second and a 5.0-kilogram block of putty whose initial S velocity is 30/60 meters per second slide on a frictionless - 120 surface. as shown. The objects collide and the ball imbeds itself in 30 m the putty. Find the velocity of the combined mass immediately 60 after impact. 7. A 90-kilogram cannon sits on a level frictionless surface and fires a 0.030-kilogram projectile at +420 meters per second. Find the recoil velocity of the cannon. 8. A 4.00-gram bullet has a velocity of +600 meters per second when it hits a stationary 1.996-kilogram block of wood suspended by two ropes of negligible mass. as shown. The bullet imbeds itself in the block. (a) Find the velocity of the block and bullet immediately after impact. (b) What was the total kinetic energy of the block and bullet immediately after impact? (c) If all the kinetic energy was transferred to potential energy. how high did the block swing? V1 V2 Before After impact impact $9. The index of refraction for a particular type of glass is 1.52 and the index of refraction for air is approximately 1.00. A ray of light at a particular frequency enters a block of glass from air with an angle of incidence of 50. What is the angle of refraction 0,? Air Glass 10. " The pressure of a fixed quantity of an ideal gas was held constant. The initial volume was 5.00 cubic meters and the final volume was 7.50 cubic meters. What was the final temperature in kelvins if the initial temperature was 1 13'F