A bus of mass 10*4 kg moves on a rough road with a constant acceleration of 2m/s the friction of the road is 9percent
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10
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The power of the engine = 600 kW
Given:
Mass of the bus = 10⁴ Kg
Acceleration of the bus = 2 m/s²
The friction of the road = 9% of its weight
The friction of air = 1% of its weight
Speed of the bus = 72 Km/hr
To find:
The power of the engine.
Solution:
- Power may be defined as the amount of energy which is transferred per unit of time.
- The SI unit of power is Kgm²/s³
- Force exerted on the bus is the sum of the force due to its acceleration and due to the frictional force of the road and the frictional force of the air.
F (exerted) = m × a + f (road) + f (air)
F (exerted) = 10⁴ × 2 + 10⁴ × 10 × 9/100 + 10⁴ × 10 × 1/100
F (exerted) = 3 × 10⁴ N
The velocity of the bus = 72 Km/hr
V = 20 m/sec
Therefore,
Power = F (exerted) × velocity
Power = 3 × 10⁴ × 20 W
Power = 600 kW
The power of the engine = 600 kW
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