Question

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 ?​

Answer 1

Answer:

$6373&$$83(3+32744+$? $+":";($+3

Answer 2

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Class 11

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>>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