17 Force is a Function of time and f=6t find the workdone by the force during the t=0 to t=2s if mass of the object is 1 kg ?
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Answer:
$6373&$$83(3+32744+$? $+":";($+3
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Author:
daciow01t
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Class 11
>>Physics
>>Work, Energy and Power
>>Work Done by a Variable Force
>>A time dependent force F = 6t acts on a
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A time dependent force F = 6t acts on a particle of mass 1 kg. If the particle starts from set, the work done by the force during the first 1 sec. will be :
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Solution
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Correct option is D)
Given,
F=6t
m=1kg
Force, F=ma=6t
1×
dt
dv
=6t
dv=6tdt
Integrating both side,
v=∫dv=∫
0
1
6tdt
v=6[
2
t
2
]
0
1
v=3m/s
Initial velocity, u=0m/s
From work energy theorem,
W=K
f
−K
i
W=
2
1
mv
2
−
2
1
mu
2
W=
2
1
×1×3×3−
2
1
×1×0×0
W=4.5−0=4.5J
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Author:
cruella406j
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