Energy required to accelerate a car from 10 ms-1 to 20 ms? compared with that required to accelerate it from 0 to 10 ms is
a) twice by
three times
c) four times
d) same
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Class 11
>>Physics
>>Motion in a Straight Line
>>Acceleration
>>Energy required to accelerate a car from
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Energy required to accelerate a car from 10 to 20 m/s compared with that required to accelerate from 0 to 10 m/s is
Medium
Solution
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Verified by Toppr
Correct option is C)
Energy required E=
2
1
mv
2
−
2
1
mu
2
=
2
1
m(v
2
−u
2
)
where m is the mass of the car.
Case 1 :
Initial speed u=10 m/s
Final speed v=20 m/s
Energy required E
1
=
2
1
m(20
2
−10
2
)=150m Joules
Case 2 :
Initial speed u=0 m/s
Final speed v=10 m/s
Energy required E
2
=
2
1
m(10
2
−0)=50m Joules
⟹ E
1
=3E
2
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