Hi can someone please help me answer these 4 questions. Please show your work. Thank you in advance!!

Unit 6 Momentum and Impulse Problem Set 1. The graph below approximates the force applied to a tennis ball by a racket during the time they are in contact. What impulse does the ball receive from the racket? (3 marks) F(N) 40 20 t(s) 0 0.02 0.04 0.06 2. A frictionless disc of mass 0.50 kg is moving in a straight line across an air table at a speed of 2.4 m/s when it bumps into an elastic band stretched between two fixed posts. If the elastic band exerts an average opposing force of 1.4 N on the disc for 1.5 s, what will be the final velocity of the disc? (4 marks)|3. A nucleus, initially at rest, decays radioactively. In the process, it emits an electron horizontally to the east, with momentum 9.0 X 10-21 kg-m/s and a neutrino horizontally to the south, with momentum 4.8 X 10-21 kg-m/s. (a) In what direction does the residual nucleus move? (3 marks) (b) What is the magnitude of its momentum? (3 marks) (c) If the mass of the residual nucleus is 3.6 X 10-25 kg, what is its recoil velocity? (3 marks) 4. Two men, of mass 100 kg each, stand on a cart of mass 300 kg. The cart can roll with negligible friction along a north-south track, and everything is initially at rest. One man runs towards the north and jumps off the cart at a speed of 5.0 m/s, relative to the cart. After he has jumped, the second man runs towards the south and jumps off the cart, again with a speed of 5.0 m/s relative to the cart. Calculate the speed and direction of the cart after both men have jumped off. (6 marks)After After Before 1st Man 2nd Man 5.0 - Vit 5.0 - V M1 M1 1 V. 100 kg M3 M3 300 kg M3 M 2 100 kg M2 M 2 5.0 - V