Question

What is another name for change in momentum?

Answer 1

Hint: Momentum is the attribute of a moving object, which is possessed by its mass and motion, and is equal to the product of the object's mass and velocity. Any item having momentum will be difficult to stop. To bring such an item to a halt, a force must be applied against its motion for a set of times. The more momentum an item possesses, the more difficult it is to bring it to a halt.

Complete answer:
Momentum is a measure of how much mass is in how much motion. It is commonly denoted by the sign $p$. The equation to find momentum is,
\[ \Rightarrow p = m \times v\]……….(1) and the change in momentum be like,
\[ \Rightarrow \Delta p = m \times \Delta v\]……….. (2) where \[\Delta p\] is the change in momentum and \[\Delta v\]the change in velocity.
The rate of change of velocity is termed as acceleration,denoted as “$a$”. Hence velocity can be written as the product of acceleration and time and change in velocity as,
\[ \Rightarrow \Delta v = a \times \Delta t\]…………(3). Substitute 3 in 2.
\[ \Rightarrow \Delta p = m \times a \times \Delta t\]……….(4)
We know the equation of Force as, \[F = m \times a\]……….(5), substituting(5) in(4) gives,
\[\Delta p = F \times \Delta t\]………(6)
The term "impulse" refers to the total impact of a force acting over time. It is commonly denoted by the sign \[J\] and is measured in Newton -seconds. Hence impulse \[J\] for a constant force can be expressed as,
\[ \Rightarrow J = F \times \Delta t\]…………..(7) Comparing equations (6) and (7) we can write,
\[\therefore \Delta p = J\], that is change in momentum equals impulse.

Note:
One of the reasons impulse is essential and beneficial is that forces in the actual world are not always constant. Forces caused by objects like humans and engines tend to build up over time and vary based on a variety of circumstances. To compute impulse, we multiply the force by time. This is the same as calculating the area under a force-time curve. This is important since the area can be calculated just as quickly for a complex form.