High School

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 :

The work done by a car against gravity while moving horizontally is 0 J, as the direction of motion is perpendicular to the force of gravity. The gravitational force calculation is irrelevant in this context, making none of the given options correct.

To calculate the work done by a car against gravity while moving along a straight horizontal road, we need to use the formula for work done against gravity, which is work (W) = force (F) imes distance (d), where force is the gravitational force acting on the object. However, in this scenario, since the car is moving horizontally, the work done against gravity is zero because the direction of the car's motion is perpendicular to the direction of the gravitational force. Therefore, even if we calculate the gravitational force as mass (m) times the acceleration due to gravity (g), which is F = mg, and then multiply this by the distance, the work against gravity will still be zero because the car's displacement is horizontal, not vertical.

In other words:

  • Gravitational force, F = m imes g = 400 kg imes 9.81 m/s²
  • Distance moved horizontally, d = 2 m
  • Work done against gravity, W = F imes d = m imes g imes d = 0, because the vertical displacement is zero.

Therefore, the correct answer is none of the provided options as the work done against gravity is actually 0 J when moving horizontally.