the mass. of car is 900kg is traveling at constant speed of 30m/sec against a resistine force of 2000n, as shown in figure.calculate that power the car engine has to driver to the wheels
Answers
Answer:
60 KW
Explanation:
Given :
- Mass of the car = 900 kg
- Constant speed with which the car is moving = 30 m/s
- Resistive force acting on the car = 2000 Newtons (opposite direction force)
To find :
- Power the car had to deliver to its wheels
Power = work done/time
Time will be 1 second as we have to find power per second
Work done = Force × distance × sin theta
Distance per second = 30×1 = 30 metres
Work done = 2000×30×sin 90°
Work done = 60,000 Joules
Power = 60,000/1
Power = 60,000 watts
60 kw
The minimum power to be delivered is 60 KW
AnswEr :
Given that mass of car is 900 kg , travelling at a constant speed of 30 m/s against a resistance force of 2000N.
We have to find power to drive the car.
Here we have,
➡ Mass (M) = 900 kg
➡ Speed (v) = 30 m/s
➡ Force (F) = 2000 N
➡ Power (P) = ?
Concept :
↗ We know, power = Work done/Time
↗ Work done = Force × Displacement
↗ Velocity = Displacement/Time
↗ Power = (Force × Displacement)/Time
∴ Power (P) = Force × Velocity
Substituting values,
→ Power = 2000 × 30
→ Power = 60000
→ Power = 60000 Watts. / 60 kilowatts.
∴ Power needed to drive car = 60000 W / 60 kW [Ans.]