N at 159 degrees 14. Impulse is change in momentum due to collision. Largest change occurs for condition B, where change is twice the original momentum. Result is up.
Damage is due to work done on the car as it is smushed.
The force on each of the cars will be the same due to Newton's third law, and the degree of damage is characterized by how far the car's front end has been smashed. Since these are identical cars, the same average force gives the same damage. Answer is D. Note that Answer A really has little to do with the problem, answer B refers to an elastic collision, and this is not elastic, answer C deals with angular momentum, but this is a head-on collision and so angular momentum is not relevant, and answer E has to do with conservative forces, but the damage to the cars is not due to conservative forces. However, can't have kinetic energy negative, so there must have been another force present. Momentum is a vector quantity.