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WORK, ENERGY AND POWER

 

Work = F s Cos q where q is the angle between force (F) and displacement(s).

 

Translational kinetic energy of a body of mass m and velocity v is

K.E = mv2

 

Rotational kinetic energy of a body of moment of inertia I and angular velocity is

K.Erot= I2

 

Gravitational Potential energy = mgh, where h is the height with respect to some

reference point

Elastic Potential energy of a spring = kx2, where k is the spring constant,

x is displacement from equilibrium position

 

Power is the work done per unit time.

P =

Instantaneous Power = = F.v

GRAVITATION

 

Newtons law of Gravitation If m1 & m2 are the masses separated by distance r, then the force between them is

F =, G is universal Gravitational constant = 6.67 x 10-11 Nm2/kg2

 

Acceleration due to gravity at a distance r from the centre of a planet of mass M is

g =

 

Gravitational Potential at a distance r in the gravitational field of mass M is

V =

 

Orbital velocity of a satellite at a height h from a planet of mass M and radius R is

vo=

 

Escape velocity of a body from the surface of a planet of radius R and mass M is

ve=

 

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