In an inelastic collision between two objects with unequal masses:Select one:a.the momentum of one will increase by the amount that the momentum of the other decreases.b.the velocity of one will increase by the amount that the velocity of the other decreases.c.the total momentum of the system will decrease.d.the energy of one increases by the amount that the energy of the other decreases.
Question
In an inelastic collision between two objects with unequal masses:Select one:a.the momentum of one will increase by the amount that the momentum of the other decreases.b.the velocity of one will increase by the amount that the velocity of the other decreases.c.the total momentum of the system will decrease.d.the energy of one increases by the amount that the energy of the other decreases.
Solution
The correct answer is a. the momentum of one will increase by the amount that the momentum of the other decreases.
Here's why:
In any type of collision, elastic or inelastic, the total momentum of the system (the sum of the momentum of both objects) is conserved. This is due to Newton's Third Law, which states that for every action, there is an equal and opposite reaction. So, if one object gains momentum, the other must lose an equal amount of momentum.
The other options are incorrect because:
b. The velocities of the objects do not necessarily change by equal amounts in the opposite direction. The change in velocity depends on the masses of the objects and the forces during the collision.
c. As stated above, the total momentum of the system does not decrease; it is conserved.
d. In an inelastic collision, the total kinetic energy of the system is not conserved. Some of the kinetic energy is converted into other forms of energy, such as heat or sound. So, it's not correct to say that the energy of one increases by the amount that the energy of the other decreases.
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