Kinetic and Potential Energy

1. Welcome to
our presentation
We will be covering
Kinetic and Potential
Energy
PHY109 || Section: 03

2. Group: 03
Name ID
Md. Asad Chowdhury Dipu 2019-1-60-093
Fouzia Arobi 2019-1-60-072
Md. Huzaifa 2019-1-60-079
Sadab jaowad 2019-1-60-082

4. How is all Energy Divided?
Potential Energy
Gravitation Potential Energy
Elastic Potential Energy
Chemical Potential Energy
Kinetic Energy
Radiant energy
Thermal energy
Sound energy
Electrical energy
Radiant energy

5. This is How Energy Works

6. Derivation of Kinetic Energy:
The derivation of kinetic energy
using calculus is given below.
Starting with the work-energy
theorem and newton’s second law
of motion.
We can say that
• ∆𝐾 = w
• ∆𝐾 = 𝐹(𝑟) ∙ 𝑑𝑟
• ∆𝐾 = 𝑚𝑎 ∙ 𝑑𝑟
• ∆𝐾 = 𝑚
𝑑𝑣
𝑑𝑡
∙ 𝑑𝑟
Now rearranging the differential
terms to get the function and the
integral into an agreement.
• ∆𝐾 = 𝑚
𝑑𝑣
𝑑𝑡
∙ 𝑑𝑟
• ∆𝐾 = 𝑚
𝑑𝑟
𝑑𝑡
∙ 𝑑𝑣
• ∆𝐾 =
1
2
𝑚𝑣2 −
1
2
𝑚𝑣0
2
Now, we know that the kinetic
energy of a body at rest is zero.
So we can say that the kinetic
energy is:
• KE =
1
2
𝑚𝑣2

7. Derivation of potential energy:
Potential energy is the work
done to take a body to a certain
height. For a body with mass
m, h is the distance to which it
is raised and g is the
gravitational force acting on the
body, then work done W is
given as:
• W = force * displacement
• W = mg * h
∴ W = mgh
As the work done is equal to
mgh which is gained by the
object, potential energy Ep is
given as:
• Ep = mgh
Therefore, above is the
derivation of potential energy.

8. Use of Kinetic Energy
1. Hydropower Plants 2. Wind Mills

9. 3. Moving Car
5. Bullet From a Gun
4. Flying Airplane

10. Use of Potential Energy
1. Pendulum 2. Spring 3. Bow & Arrow 5. Food We Eat
4. Bullet

11. Conclusion
Energy gets things done. Energy warms the surface of our planet and
blows the wind through our hair. Energy contracts muscles and
transmits signals within our brain. Energy illuminates the lights in our
homes and moves cars down the road. Energy is usually defined as the
ability to do work. Scientists have learned how to change energy from
one form into another to make our lives more comfortable. Energy
exists in different forms, such as heat, motion, light, chemical, and
sound. While there are different forms of energy, all the different forms
can be put into two categories. One category would be kinetic energy.
That's energy of motion. The other category is potential energy. That's
energy stored in an object due to its position.

12. THANK YOU
Any Queries?