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A car weighing 1000 kg is travelling on a level road with a uniform velocity of 60 kmh −1 . The resistance offered to the motion due to air and friction is 50 N. The work done by the car in travelling a distance of 1 km is-

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Final answer:

The work done by the car traveling a distance of 1 km against a resistance of 50 N on a level road is 50,000 joules or 50 kJ.

Step-by-step explanation:

The question is asking to find the work done by a car traveling with a constant speed of 60 km/h on a level road when it covers a distance of 1 km against a resistance force of 50 N due to air and friction.

To calculate the work done, we use the formula Work = Force × Distance × cos(θ), where θ is the angle between the force and the direction of movement. Since the car is moving in the direction of the force overcoming air resistance and friction, θ is 0 degrees, and thus cos(θ) is 1.

The force of resistance is 50 N, and the distance covered is 1 km, which needs to be converted to meters (1 km = 1000 m).

Therefore, the work done by the car is 50 N * 1000 m * cos(0 degrees) which equals 50,000 joules or 50 kJ.

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