The work to be done to increase the velocity
of a car from 6m/s to 9m/s, if the mass of the
car is 1000 kg. is
(1) 40.500
(2) 22,500 J.
(3) 18,000 J.
(4) 15.000 J.
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The work to be done to increase the velocity
of a car from 6m/s to 9m/s, if the mass of the
car is 1000 kg. is
(1) 40.500
(2) 22,500 J.
(3) 18,000 J.
(4) 15.000 J.
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Answer:
Initial velocity u=30 km/h=30×
18
5
=
3
25
m/s
Final velocity v=60 km/h=60×
18
5
=
3
50
m/s
Mass m=1500 kg
Work done W=
2
1
mv
2
−
2
1
mu
2
⟹ W=
2
m
(v
2
−u
2
)=
2
1500
×((
3
50
)
2
−(
3
25
)
2
)=156187 J
option d is the correct answer