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A car of mass 300 kg is travelling along a horizontal road with a speed of 10m/s. The acceleration of car is 4/3 m/s2 . A resistive force of 100 N is opposing its motion. Find the power generated by the engine of the car in this case.
  • a)
    5 kW
  • b)
    4 kW
  • c)
    6 kW
  • d)
    0 kW
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A car of mass 300 kg is travelling along a horizontal road with a spee...
To find the Power in this case, we must apply the following formula:
P= Fnet . v
We first need to find out the net force applied on the car.
Fnet = mass × acceleration + resistive force
       = 300 × 4/3 + 100
       = 400 + 100 = 500 N
Now, P= 500 × 10 = 5000 W = 5 kW
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Most Upvoted Answer
A car of mass 300 kg is travelling along a horizontal road with a spee...
Given Data
- Mass of the car (m) = 300 kg
- Speed of the car (v) = 10 m/s
- Acceleration (a) = 4/3 m/s²
- Resistive force (F_resistive) = 100 N
Calculating the Net Force
To find the power generated by the engine, we first need to calculate the net force acting on the car.
- The net force (F_net) is given by Newton's second law:
F_net = m * a
F_net = 300 kg * (4/3 m/s²)
F_net = 400 N
Now, to account for the resistive force:
- The total force exerted by the engine (F_engine) can be calculated as:
F_engine = F_net + F_resistive
F_engine = 400 N + 100 N
F_engine = 500 N
Calculating Power
Power (P) generated by the engine is given by the formula:
P = F_engine * v
Substituting the values:
P = 500 N * 10 m/s
P = 5000 W
To convert this to kilowatts:
P = 5000 W / 1000 = 5 kW
Final Answer
The power generated by the engine of the car is 5 kW, which corresponds to option (a).
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