Pls answer all of them correctly. If you don't know or not sure, don't do it please.

1. A block of mass m = - kg, moving on a frictionless surface with a velocity of vii= m/s, collides with a block of mass M= = kg moving with v2i = - m/s, as shown in the figure. After the collision, mass m block recoils with a in M M velocity of vif = m/s and mass M is moving with ver forward (+X). before after B=15 a. Express initial momentum of the system in terms of M, m, v1; and v2;? (5points) b. Express final momentum of the system in terms of M, m, vir and v2? (5points) D = 10 c. Use momentum conservation to solve for v2f in terms of M, m, vif, and v2;? (10 points) d. Calculate ver velocity vector? (10points) e. Show whether the collision is elastic or inelastic by performing calculations? (15points) f. Calculate the impulse of mass m object? (10points) 2. Consider the beam of 100 cm long and mass of 80g. It's center of mass is located a 45 cm. The system is balanced by using fluctrum (pivot) and two masses, 100g and 150g are located as shown. 0 D = 10 50 X=? 100 cm 100g 150g a. Draw the FBD on the beam and label forces by using your own labeling and explain them? (5points) b. Which forces do CCW rotation around pivot point? (5points) c. Express CCW torque in terms of given symbols and numbers in the figure? (5points) d. Which forces do CW rotation around pivot ? (5points) e. Express CW torque in terms of given symbols in the figure? (5points) f. Calculate x? (10points) g. Calculate reaction force at pivot point? (10points)