See attached file for full problem description.
Please explain the theory behind each correct answer for the following questions
1. A rock is dropped from a high tower and falls freely under the influence of gravity. Which one of the following statements is true concerning the rock as it falls?
a) It will gain an equal amount of momentum during each second.
b) It will gain an equal amount of kinetic energy during each second.
c) It will gain an equal amount of speed for each meter through which it falls.
d) It will gain an equal amount of momentum for each meter through which is falls.
e) The amount of momentum it gains will be proportional to the amount of potential energy that it loses.
2. A stunt person jumps from the roof of a tall building, but no injury occurs because the person lands on a large, air filled bag. Which one of the following best describes why no injury occurs?
a) the bag provides the necessary force to stop the person.
b) The bag reduces the impulse to the person
c) The bag increases the amount of time the force acts on the person and reduces the change in momentum.
d) the bag decrease the amount of time during which the momentum is changing and reduces the average force on the person.
e) The gat increases the amount of time during which the momentum is changing and reduces the average force on the person.
3. A stationary bomb explodes in space breaking into a number of small fragments. At the location of the explosion, the net force due to gravity is zero newtons. Which one of the following statements concerning this event is true?
a) Kinetic energy is conserved in the process
b) The fragments must have equal kinetic energies.
c) The sum of the kinetic energies of the fragments must be zero.
d) The vector sum of the linear momentum of the fragments must be zero.
e) The velocity of any one fragment must be equal to the velocity of any other fragment.
4. An object of mass 3m, initially at rest, explodes breaking into two fragments of mass m and 2m, respectively. Which one of the following statements concerning the fragments after the explosion is true?
a) they may fly off at right angles.
b) they may fly off in the same direction.
c) the smaller fragment will have twice the speed of the larger fragment.
d) The larger fragment will have twice the speed of the smaller fragment.
e) the smaller fragment will have four times the speed of the larger fragment.
5. Car one is traveling due north and Car two is traveling due east. After the collision shown, car one rebounds due south. Which of the numbered arrows is the only that can represent the final direction of the car two?
Impulse and Momentum are investigated. The solution is detailed and well presented.