Question

Momentum is closely related to:
A. Force
B. Impulse
C. Velocity
D. Kinetic Energy

Answer 1

Momentum is commonly interpreted as the mass in motion. All the objects have mass, so all moving objects possess momentum. The momentum of a body is the product of its mass and the velocity by which the object is moving and it can be represented as $\vec{p}\,=\,m\vec{v}$.

Complete step by step solution:
The momentum of an object is defined as the product of its mass and velocity or it can be described as the quantity of motion possessed by the object. The momentum possessed by the linear motion is called linear momentum. It is denoted by $\vec{p}\,=\,m\vec{v}$.
It is a vector quantity that indicates it has both magnitude and direction. The direction of momentum is the same as the direction of the velocity of the object. The S.I. unit of linear momentum is $kg{m}/{s}\;$ or $kg\,m\,{{s}^{-1}}$.
For example, a heavy truck $A$ moving quickly has larger momentum. On the other hand, a lighter truck $B$ moving slowly would have less momentum.
As we know linear momentum $\vec{p}\,=\,m\vec{v}$.So, truck $A$ has greater mass and velocity as compared to truck $B$.Therefore, truck $A$ will have larger momentum
Other than the linear momentum, we have another type of momentum which deals with the rotational motion of an object known as angular momentum. The angular momentum of an object is defined as the product of its linear momentum and perpendicular distance to a fixed point from where angular momentum is to be determined. It is denoted by $\vec{L}\,=\,m\left( \vec{r}\,\times \,\vec{v} \right)$. The S.I. unit of angular momentum is $kg{{{m}^{2}}}/{s}\;$ or $kg\,{{m}^{2}}\,{{s}^{-1}}$.
Now, as we know, the momentum of an object is due to its mass and velocity. Linear momentum is given by $\vec{p}\,=\,m\vec{v}$.
It is clear that for an object mass remains the same. So, the value of momentum principally depends on the value of velocity.
Thus, the momentum of an object is closely related to the velocity of the object.
Therefore, option (C) Velocity is the correct option.

Note:
Momentum will always be in the same direction as the velocity of the object. Momentum is a conserved quantity which means it will follow the law of conservation of momentum. The law of conservation of momentum states that if the net force acting on an object is zero then the momentum of the object will always remain constant