Question

derive the equation for kinetic energy​

Answer 1

Answer:

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v ^ 2 - u ^ 2 = 2as… This statement states that a work W is done by a body to move from one position to another by a distance s when the force F is applied to a body at rest. This work done on the body is because of Kinetic energy (K.E) of the body.

Step-by-step explanation:

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Answer 2

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According to 3rd equation of motion:

V^2-U^2= 2as...

a= V^2-U^2/2s...(2)

°•° F= MA... (3)

Putting the value of 'a' in eq(3)

F= m x (V^2-U^2) /2s... (4)

Combining equal (1) & (4), we get that :

ΔK=m(V^2-U^2) /2...(5)

putting U= O in eq (5), we get that :

ΔK= m(V^2/2) ...(6)

Work done on the body is given by

W= Force x Distance (7)