A 200 kg wagon climbs up a hill of slope 30-degrees in 1 minute at a speed of 36 km/h. How much power is delivered by the engine if the frictional force is 25% of the weight of the car? (Assume g = 10m/s^2)

Category: QuestionsA 200 kg wagon climbs up a hill of slope 30-degrees in 1 minute at a speed of 36 km/h. How much power is delivered by the engine if the frictional force is 25% of the weight of the car? (Assume g = 10m/s^2)
Editor">Editor Staff asked 1 year ago

A 200 kg wagon climbs up a hill of slope 30-degrees in 1 minute at a speed of 36 km/h. How much power is delivered by the engine if the frictional force is 25% of the weight of the car? (Assume g = 10m/s^2)
 
(a) 25 kW
 
(b) 50 kW
 
(c) 100 kW
 
(d) 125 kW
 
I got this question in an international level competition.
 
Asked question is from Power in portion Work, Energy and Power of Physics – Class 11
Select the correct answer from above options 
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1 Answers
Editor">Editor Staff answered 1 year ago

The correct answer is (a) 25 kW
 
Easiest explanation: Weight of car = m x g
 
 = 200 x 10
 
 = 2,000 N
 
Frictional force = (25/100) x (2,000)
 
 = 500 N
 
Total force (F) = 2000 + 500
 
 = 2,500 N
 
Velocity (v) = 36 km/h
 
 = 36 x (1000/3600)
 
 = 10 m/s
 
P = F x v
 
 = 2500 x 10
 
 = 25 kW.


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