an engine pulls a car of mass 1500kg on a level road with a constant speed 5m/s.The extra power must the engine develop to maintain the same speed up an inclined plane having a gradient of 1 in 10 is
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Answer:
Please refer work, power, energy related numericals
for this questions
wt.of car =1500Kg
constant speed of car =5.0ms
−1
then total force by the car to move for work =total force by engine + frictional force
=1500×5+500
f
1
=7500+500
f
1
=8000N≈
f
1
=8KN
Total work done =w
1
=F
1
×v=8000×5
W
1
=40,000watt
w
1
=40kw
case II
⇒ gradient 1 in 10 means
then sinθ=
10
1
.
Total Applied force =Mgsinθ+Frictionalforce
F
2
=1500×9.8×
10
1
+500
AB=10
BC=1
F
2
=1970N
total work done w
2
=1970×5=9850walr
extra or 9.850Kw
Total work done w=w
1
+w
2
=40+9.85=49.85
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