work energy theorm applications
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HLO FRIEND:-)
Introduction
According to this theorem the net work done on a body is equal to change in kinetic energy of the body. This is known as Work Energy Theorem. It can be represented as
Kf – Ki = W
Where, Kf = Final kinetic energy
Ki = Initial kinetic energy
W = net work done
So the above equation follows law of conservation of energy according to which we can only transfer energy from one form to another. Also here the work done is the work done by all forces acting on the body like gravity, friction, external force etc.
According to Work energy theorem,
Work done by all the forces = Change in Kinetic Energy
Wg + WN + Wf =Kf – Ki
Where, Wg = work done by gravity
WN = work done by normal force
Wf = work done by friction
Kf = final kinetic energy
Ki = initial kinetic energy
Work done by a constant force
A constant force will produce constant acceleration. Let the acceleration be ‘a’.
From equation of motion,
v2 = u2 + 2as
2as = v2 – u2
Multiplying both side with mass ‘m’
(ma).s = (mv2–mu2)2
F.s = (mv2–mu2)2
Comparing the above equation we get,
Work done by force (F) = F.s
Where ‘s’ is the displacement of the body.
Work done by Non-Uniform Force
Now the equation,
W = F.ds
This is only valid when force remains constant throughout the displacement.
For these kinds of forces, we can assume that force remains constant for a very small displacement and then integrate that from initial position to final position.
W = ∫xfxiF(x)dx
This is work done by a variable force. A graphical approach to this would be finding the area between F(x) and x from xi to xf .
HOPE ITS HELP U_^_^
Introduction
According to this theorem the net work done on a body is equal to change in kinetic energy of the body. This is known as Work Energy Theorem. It can be represented as
Kf – Ki = W
Where, Kf = Final kinetic energy
Ki = Initial kinetic energy
W = net work done
So the above equation follows law of conservation of energy according to which we can only transfer energy from one form to another. Also here the work done is the work done by all forces acting on the body like gravity, friction, external force etc.
According to Work energy theorem,
Work done by all the forces = Change in Kinetic Energy
Wg + WN + Wf =Kf – Ki
Where, Wg = work done by gravity
WN = work done by normal force
Wf = work done by friction
Kf = final kinetic energy
Ki = initial kinetic energy
Work done by a constant force
A constant force will produce constant acceleration. Let the acceleration be ‘a’.
From equation of motion,
v2 = u2 + 2as
2as = v2 – u2
Multiplying both side with mass ‘m’
(ma).s = (mv2–mu2)2
F.s = (mv2–mu2)2
Comparing the above equation we get,
Work done by force (F) = F.s
Where ‘s’ is the displacement of the body.
Work done by Non-Uniform Force
Now the equation,
W = F.ds
This is only valid when force remains constant throughout the displacement.
For these kinds of forces, we can assume that force remains constant for a very small displacement and then integrate that from initial position to final position.
W = ∫xfxiF(x)dx
This is work done by a variable force. A graphical approach to this would be finding the area between F(x) and x from xi to xf .
HOPE ITS HELP U_^_^
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