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A car manufacturer claims that his car c...

A car manufacturer claims that his car can be accelerated from rest to a velocity of 10 m/s in 5s. If the total mass of the car and its occupants is 1000 kg, then the average horse power developed by the engine is

A

`(10^(3))/746`

B

`(10^(4))/746`

C

`(10^(5))/746`

D

`8`

Text Solution

Verified by Experts

The correct Answer is:
B
m = 10 ton `= 10xx10^(3)=10^(4)kg`
`v=72km//h=20 m//s " " sin theta = (1)/(50)`
Frictional force `(F)=10xx5=50kg = 50xx10=500 N`
`therefore` The upward force required to pull the truck is
`F=mg sin theta +` force of friction (f)
`therefore F=10^(4)xx10xx(1)/(50)+500=2500 N`
`therefore` P = Force `xx` velocity `=2500xx20=50,000 w`
`therefore P=50 kW`
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