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11 Physics notes Chapter 6 Work, Energy and Power
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CBSE Class XI PHYSICS
Revision Notes
CHAPTER 6
WORK, ENERGY AND POWER CLASS 11 NOTES
- Notions of work, work-energy theorem, power
- Kinetic energy
- Potential energy
- The conservation of Energy
- Non-conservative forces-Motion in a vertical circle, Collisions
SUMMARY
1. The work-energy theorem states that the change in kinetic energy of a body is the workdone by the net force on the body.
2. A force is conservative if (i) work done by it on an object is path independent anddepends only on the end points {xi, xj}, or (ii) the work done by the force is zero for anarbitrary closed path taken by the object such that it returns to its initial position.
3. For a conservative force in one dimension, we may define a potential energy function V(x)such that
4. The principle of conservation of mechanical energy states that the total mechanicalenergy of a body remains constant if the only forces that act on the body are conservative.
5. The gravitational potential energy of a particle of mass m at a height x about the earth’s surface is V(x) = m g x
where the variation of g with height is ignored.
6. The elastic potential energy of a spring of force constant k and extension x is
7. The scalar or dot product of two vectors A and B is written as A. B and is a scalar quantity given by : A.B = AB cos
, where is the angle between A and B. It can be positive, negative or zero depending upon the value of . The scalar product of two vectors can be interpreted as the product of magnitude of one vector and component of the other vector along the first vector. For unit vectors :Scalar products obey the commutative and the distributive laws.
Physical Quality | Symbol | Dimensions | units | Remarks |
Work | W | J | W=F.d. | |
Kinetic Energy | K | J | ||
Potential energy | V(x) | J | ||
Mechanical energy | E | J | E= K+V | |
Spring Constant | K | |||
Power | P | W | P=F.v |
Work, Energy and Power class 11 Notes
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