Laws Of Motion

From third equation of motion

Given, (body comes to rest)


or
Let coefficient of sliding friction be .
Then
or

Initial velocity of ball
When it strikes the wall normally and reflected back, then final velocity
Change in velocity
Force exerted by the ball on the wall is given by
Newtons second law, i.e.,

To find the acceleration of the block we will need the tension in the string, that can be obtained by considering the pulley as the system.

Thrust force on the rocket

or
where is the exhaust velocity of gases and
is the mass of the ejected per unit time.
Given,

Substituting the values in above relation

or

Frictional force acting between road and lyres retards the motion of automobile.
There is a static friction between tyres and road, so frictional force cause the retardation in velocity of a automobile.
Free body diagram of automobile is shown. From Newton's third law

where is the mass of automobile.
Also,

retardation


Let automobile stops at a distance , then from equation of motion

Given,

According to Grahams law of diffusion At constant pressure and temperature, the rate of diffusion of a gas is inversely proportional to the square root of its vapour density. Rate of diffusion Molecular weight vapour density molecule molecule and