Question

a car of mass m is at rest.in time t it's velocity becomes v under the influence of force f.what does the expression mv/t represent?​

Answer 1

I hope it helps you..........

Answer 2

Given:

A car of mass m is at rest.in time t it's velocity becomes v under the influence of force "f".

To find:

What does mv/t represent?

Calculation:

So, initially the car is at rest and then attains of final velocity "v" after a time t.

So, change in Momentum is :

$\sf\therefore \: \Delta P = mv - 0$

$\sf = > \: \Delta P = mv$

Now , calculating the rate of change of Momentum with respect to time:

$\sf \therefore \: \dfrac{\Delta P}{\Delta t} = \dfrac{mv}{t - 0}$

$\boxed{ \sf = > \: \dfrac{\Delta P}{\Delta t} = \dfrac{mv}{t } }$

So, we can say that mv/t actually represents the instantaneous rate of change of momentum of the car.

This is also referred to as the FORCE

$\boxed{ \bold{ \: \dfrac{\Delta P}{\Delta t} = \dfrac{mv}{t } = f }}$

Hope It Helps.