Question

Answer it . Fast
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Answer 1

Answer:

this is formula1/2 mv² what do you want

Answer 2

Answer:

Suppose a stationary object of mass m moves because of the applied force.Let u be it's initial velocity (here u=0) Let the applied force be F.This generates an acceleration a in the object and after time t, the velocity of the object becomes equal to v.The displacement during this time is s.The work done on the object,W=Fs

According to Newton's second law of motion

F=ma_____(1)

Similarly, using Newton's second equation of motion

s=ut+1 at² (However,as initial velocity is zero,u=0)

2

s=01 at²

2

s=1 at² _____(2)

2

Therefore,W=ma x 1 at² __(using equation (1)&(2) )

2

W=1 m (at²) ___(3)

2

Using Newton's First equation of motion

v=u+at

v=0+at ___(here u=0)

v=at

v²=(at)² ____(4)

Therefore, W=1 mv² ___Using equations (3)&(4)

2

The Kinetic energy gained by an object is the amount of work done on the object

K.E.= W

Therefore,K.E.= 1 mv²

2

Hence proved.

Explanation:

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