As a car increases velocity, does its kinetic energy or momentum increase faster? explain.

Explanation:

The kinetic energy of an object is associated with its motion. Mathematically, it is given by :

........(1)

Where

m is the mass of the car

v is the velocity of the car

And the momentum of an object is equal to the product of mass and velocity i.e.

..........(2)

From equation (1) and (2) it is clear that the kinetic energy and the momentum is directly proportional to the velocity of the object. As a car increases velocity, its kinetic energy or momentum increase faster.

it is called kinetic energy

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

                                              ⇒      

here   k is the proportionality constant whose value is 1.

                                                            [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.