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# Changes in Momentum 2

### Changes in Momentum 2

We will now apply the force and momentum equations to see how force, mass, velocity and acceleration are linked.

Which of these is the correct formula that links force, mass and acceleration?

A car of mass $900\space Kg$ accelerates at $8m/s^2$. What is the force required to make this happen?

A force of $500\space Newtons$ is applied to a ball of mass $50\space Kg$. What acceleration will this cause the ball to have?

If the mass is constant which of these best describes the relationship between force and acceleration?

Because $F=m\times a$, if the mass is constant then we can say that the force is **proportional** to the acceleration. When you increase one of them you will increase the other and if you decrease one, you will decrease the other: $F\propto a$.

Which of the following is the correct formula for **momentum**?

A $50\space Kg$ lion is running at $50m/s$. Calculate its momentum.

A car has a mass of $900\space Kg$ and a momentum of $180000\space Kg\space m/s$. Calculate the cars velocity in $m/s$

If the mass of an object remains constant, what is the relationship between momentum and velocity?

Due to the fact that $p=m\times v$, if the mass is constant we can say that the momentum and velocity are **directly** **proportional** to each other. If you increase one of them, the other will also increase by a certain amount. If you decreased one, the other would decrease by a certain amount.

A car has a mass of $1000\space Kg$ and accelerates from $50m/s$ to $60m/s$ in $10\space seconds$ .

What is the change in force of the car?

What is the initial momentum of the car?

What is the final momentum of the car?

What is the change in momentum of the car?