Summarize the chapter work and energy in 2 page class 9
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Summarize the chapter work and energy in two pages in notebook. Class9
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Work And Energy Class 9 CBSE Notes -
Work Done
- Work done on an object is defined as the product of the magnitude of the force acting on the body and the displacement in the direction of the force. W = F.s
- If a force acting on a body causes no displacement, the work done is 0. For example, pushing a wall.
Energy
- Energy is defined as the ability to do work. Its unit is the same as that of work.
- SI unit of energy or work = Joule (Nm) or Kgm2s−2.
- Energy has different forms: Light, heat, chemical, electrical or mechanical.
Mechanical energy is the sum of:
(i) Kinetic energy (K.E)
(ii) Potential energy (P.E)
Kinetic Energy
Objects in motion possess energy and can do work. This energy is called Kinetic Energy.
F = ma.
Also W = F.s
⇒ From the 2nd equation of motion v2−u2=2as,⇒ we get s = v2−u22a ⇒Substituting equation for work done by a moving body,⇒ we get W =m.a * v2−u22a
Or
⇒ Kinetic Energy = K.E= 12 mv2 (taking initial velocity u=0)
When two identical bodies are in motion, the body with a higher velocity has more K.E.
Work-energy theorem
- The work-energy theorem states that the net work done by a moving body can be calculated by finding the change in KE.
- ⇒ W net = KE final − KE initial
- ⇒ Wnet= 12 m[v2−u2]
- Factors affecting kinetic energy
Mass
Velocity
Momentum
Potential Energy
- Energy can get stored in an object when work is done on it.
- For example, stretching a rubber string. The energy that is possessed by a body by virtue of its configuration or change in position is known as Potential Energy.
Types of Potential Energy.
- The potential energy of an object at a height.
- When an object is raised to a certain height, work is done against gravity to change its position.
- This energy is stored as Potential Energy.
- ⇒W = F.s
- ⇒F = ma
- In the case of increasing the height, F = mg
- Therefore , W (P.E) = mgh
- ⇒ ΔPE=mg(h final−h initial)
Law of Conservation of Energy
- Law of conservation of energy states that energy can neither be created nor destroyed, but can be transferred from one form to another.
- The total energy before and after the transformation remains constant.
- Total energy = KE + PE
- For example: consider a ball falling freely from a height.
- At height h, it has only PE = mgh.
- By the time it is about to hit the ground, it has a velocity and therefore has KE= 12 mv2.
- Therefore, energy gets transferred from PE to KE, while the total energy remains the same.
Power
- The rate of doing work or the rate of transfer of energy is called power.
- It is denoted by P
- ⇒ P = Wt
- SI unit is Watt (Js−1).
- Average power = Total energy consumed/Total time taken.
- The commercial unit of power is kWh i.e. energy used in 1 hour at 1000 Joules/second.
- 1kWh=3.6×106J
Explanation:⤵
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