POTENTIAL ENERGY AND CONSERVATION OF ENERGY

CONSERVATIVE AND NONCONSERVATIVE FORCE

CONSERVATIVE

NONCONSERVATIVE

Net work done by the force on an moving object around any closed path is zero

Friction

work done depend on starting ad ending point and path taken

Take energy away from the system as the system progresses

POTENTIAL ENERGY

energy stored in a body or system because of its position, shape and state

depend on external force

Gravitational potential energy, U = mgy

depends only on the height of the object above the surface of the Earth

m : mass of a body
g : acceleration due to graviti
y : height of a body from initial position

MECHANICAL ENERGY

Work-gravitational potential energy theorem

the change in gravitational potential energy as the negative of the work done by the gravitational force

W = Uf - Ui

the sum of potential energy and kinetic energy is zero if the is no nonconservation energy

Elastic potential energy, Us

energy stored in in elastic materials as the result of their stretching or compressing

Fs = -kx

W = 01/2KXf^2 - 1/2KXi^2

E = K + U

K2 + U2 = K1 + U1

E = 1/2mv^2 + mgy

LAW OF CONSERVATION OF ENERGY

energy can't neither be created nor destroyed. Energy can only be transferred or changed from one form to another and the total amount remains constant

GRAVITATIONAL POTENTIAL ENERGY AND ESCAPE VELOCITY

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POWER

rate at which work is done

P = W/t

Instantaneos power

P = dW/dt

1 W = 1 J/s

rate at which energy is transferred

P = E/t

1 hp = 746 W

also needed for acceleration and for moving against force of friction

P = F . v