Energy : If a person can do a lot of work we can say that the person has a lot of energy
Kinetic Energy –
Kinetic energy is the energy stored in something that is moving. For example, you can also feel kinetic energy when a running friend runs into you. This energy can be transferred easily, as in when your friend knocks you down (moves you).
By definition The energy of a body due to its motion is called Kinetic Energy
Example- A moving Cricket Ball Hitting the Stumps
Runners Running on Field posses Kinetic Energy
From equations of motion, the relation connecting the initial velocity (u) and final velocity (v) of an object moving with a uniform acceleration a, and the displacement, s is
But from Newton’s second law of motion F = m a.
work done by the force, F is written as the following:
If the object is starting from its stationary position, that is, u = 0, then
From work and energy theorem, work done is equal to the change in the kinetic energy of the object.
w = (1/2) mv 2
If u = 0, the work done will be,
Thus the kinetic energy possessed by an object of mass, m and moving with a uniform velocity, v is
K.E = (1/2) mv 2
Examples based on what we just learnt
We know that Kinetic Energy = 1/2mv2
k.e = 2 X 5 X 5 = 25 Joule
How much work should be done on a bicycle of mass 25 kg to increase its speed from 4m/s to 6m/s
As the work done is equal to change in kinetic energy .
in the first case
mass = 25 kg
speed = 4m/s
kinetic energy = 1/2 X25 X 4 X 4 = 200 J
in the second case
mass = 25 kg
speed = 6m/s
kinetic energy = 1/2 X25 X 6 X 6 = 450 J
work done = change in Kinetic energy = 450- 200= 250 joule
3. Two bodies of Equal masses move with uniform velocity v and 3v respectively. find the ratio of their Kinetic Energy.
4.How much work should be done on a bicycle of mass 30 kg to increase its speed from 5 m/s to 9 m/s. (ignore the air resistance and friction) .
Ans 840 Joule
Mathematically Potential energy = M X g X h
If acceleration due to gravity is 10 m/s2. What will the potential energy of a body of mass 5 Kg kept at a height of 5 metre
Here mass= 5kg
Acceleration due to gravity = 10 m/s2
Height = 5 m
So potential energy = M X g X h
=5 X 10 X 5 = 250 Joule
Q. A bag of weight 400kg .Upto how much height It should be raised so that the potential energy becomes 19600 joule.
h= 50 m.
A body can have both kinetic energy and potential energy