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Work done in time t on a body of mass in which is accelerated from rest to a speed v in time
function of time t is given by​

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Answered by sagarkhundia
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Answer:

nikitamorye

01.12.2018

Physics

Secondary School

+5 pts

Answered

the work done in time t on a body of mass m which is accelerated from rest to a speed v in time t1 as a function of time t is given by

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mili183011

mili183011 Ambitious

W = F × s

and

F = m × a

so

W = m × a × s

"The body is accelerated from 0 to v in time t1"

so

v = 0 + a × t1

a = v / t1

The distance traveled in a certain time t is W = m × (v / t1) × ( (v × t²) / (2 × t1) )

Rearranging the equation,

W = (m × v² × t²) / (2 × t1²)

Or, W = ( m × v² / 2 ) × ( t / t1 )²

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