The Displacement X And Time T For A Particle Are Related To Each Other As. What Is Work Done In First Six Seconds Of Its Motion?
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Explanation:
Here, t=x−−√+3
∴T−3=x−−√
or x=(t−3)2 …(i)
Velocity, υ=dxdt=2(t−3)
When υ=0,2(t−3)=0,t=3sec.
From (i), x=(t−3)2=(3−3)2=Zero.
Now, at t=0,υ=2(6−3)=−6m/s, and
at t=6s,υ=2(6−3)=−6m/s
Work done = final KE − initial KE
=12m(−6)2−12m(−6)2
Work done = Zero
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