Question

When the momentum of a moving object is increased, there must also be an increase in which one or more of the following of the object's properties:

a) Speed
b) Acceleration
c) Kinetic energy
d) Potential energy

Answer 1

An increase in the momentum of an object implies an increase in its kinetic energy, since momentum is a product of mass and velocity.

Step-by-step explanation:

When the momentum of a moving object increases, it implies that there must also be an increase in its kinetic energy, seeing as momentum is the product of an object's mass and its velocity. An increase in velocity results in an increase in kinetic energy, because kinetic energy is proportional to the square of the velocity. A change in an object's speed, which is a component of velocity, will certainly affect its momentum, but an increase in momentum does not necessarily mean there is a change in acceleration as acceleration indicates a change in velocity over time. An object can gain momentum without changing its acceleration if the mass increases. Potential energy would not directly increase with momentum unless the object's height in a gravitational field changes, affecting gravitational potential energy.