High School

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Calculate the work done by a car against gravity in moving along a straight horizontal road. The mass of the car is 400 kg and the distance moved is 2 m.

A. 784 J
B. 392 J
C. 196 J
D. 98 J

Answer :

Final answer:

No work is done by the car against gravity while moving along a straight horizontal road because the direction of motion is perpendicular to the force of gravity.

Explanation:

The question asks us to calculate the work done by a car against gravity while moving along a straight horizontal road. Since the car is moving horizontally, and not against the direction of gravity, the work done against gravity is zero. Work done against gravity would only be considered if the car was moving vertically against the gravitational force. To expand on the concept, work ( extbf{W}) is calculated as the product of force ( extbf{F}) and displacement ( extbf{s}), and the force must be in the direction of the displacement. The formula is extbf{W = F exttimes s exttimes cos( heta)}, where extbf{F} is the magnitude of the force, extbf{s} is the distance moved by the object, and extbf{ heta} is the angle between the force and the direction of displacement. However, in this case, the force of gravity is perpendicular to the displacement, and cos(90 degrees) is 0, therefore, no work is done by the car against gravity in moving horizontally.

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