A large truck and a car, both moving with a velocity of magnitude v, have a head-on collision and both of them come to a halt after that. If the collision lasts for 1 s:
(a) Which vehicle experiences the greater force of impact?
(b) Which vehicle experiences the greater change in momentum?
(c) Which vehicle experiences the greater acceleration?
(d) Why is the car likely to suffer more damage than the truck?
(a) Both will experience same amount of force of impact by third law of motion.
(b) Mass of truck is greater then mass of car and initial ad final velocity of car ad truck are same i.e., v ad 0 respectively, therefore it will experience greater force of impact. Since, momentum is directly proportional to force.
(c) Car will have greater acceleration as for force of impact is same and mass of car is less than mass of truck.
(d) Car will suffer more as damage as its acceleration comes to 0 in shorter time interval.