Laws Of Motion

In the non-uniform circular motion, car will have radial and tangential acceleration.
In the non-uniform circular motion of the car, the car will have radial and tangential acceleration and both these accelerations will be perpendicular to each other.
Radial or centripetal acceleration,

and tangential acceleration, .
Magnitude of resultant acceleration is

If a constant force is applied a body for a short interval of time
then the impulse of this force will be
Also from Newton's law
Where is mass and a is acceleration.
Given,

Impulse
Note: Impulse is a vector quantity, its direction is the same as that of the force.

The fictitious force will act downwards. So, the reading of spring balance will increase. In case of physical balance, the fictitious force will act on both the pans, so the equilibrium is not affected.

When lift is moving upwards, it weighs more than actual weight of man by a factor of
Mass of man

Acceleration of lift,
When lift is moving upwards,
the reading of weighting scale will be equal to .
The equation of motion gives

or

Force on a body is the product of its mass and acceleration produced.
Force mass acceleration
From Newton's second law of motion, the force acting on a body moving with constant velocity is given by
mass acceleration
We know that acceleration

Given,


Alternative :The external force on the body always produces some acceleration in the object. This implies there is a variable speed. As speed of car (object) is uniform, so there will be no net force on the car.

Momentum carried by each bullet


Now, force change in momentum in


Hence, acceleration

The acceleration of mass
common acceleration of the system