On complete combustion a litre of petrol gives off heat equivalent to3 xx 10^(7) J. In a test drive, a car weighing 1200 kg including the mass of driver, runs 15 km per litre while moving with a uniform speed on a straight track. Assuming that friction offered by the road surface and air to be uniform. calculate the force of friction acting on the car during the test drive. if the efficiency of the car engine were 0.5.

On complete combustion a litre of petrol gives off heat equivalent to3

1.	On complete combustion a litre of petrol gives off heat equivalent to3 xx 10^(7) J. In a test drive, a car weighing 1200 kg including the mass of driver, runs 15 km per litre while moving with a uniform speed on a straight track. Assuming that friction offered by the road surface and air to be uniform. calculate the force of friction acting on the car during the test drive. if the efficiency of the car engine were 0.5.
Answer» Solution :Petrol gives energy in the form of heat of comblustion . Thus , by question , `E_("input") = 3xx10^(7) J ` ` eta = 0.5` ` :. E = 0.5 XX 3xx10^(7) J - 1.5 xx10^(7) J ` Total DISTANCE travelled(d) = 15 km= `15 xx10^(3) ` m If f is the force of friction , then ` E = fxxd ""( :. "energy is utilised in working against friction")` `1.5 xx10^(7) = f xx 15 xx10^(3)` `f = (1.5 xx10^(7))/(15xx10^(3)) = 10^(3) N ` `f = 1000` N