Calculate the work required to pull a wagon along a horizontal road for 4.0x10^2 m at a constant speed of 3.0 m/s if the force of friction is 8.0 N.
To calculate the work required to pull the wagon, we can use the formula:
Work = Force x Distance x Cos(angle)
In this case, since the wagon is being pulled along a horizontal road, the angle between the applied force and the displacement is 0 degrees, so the cosine of 0 degrees is equal to 1. Therefore, we can simplify the equation to:
Work = Force x Distance
Given values:
Force = 8.0 N
Distance = 4.0x10^2 m
Substituting these values into the equation:
Work = 8.0 N x 4.0x10^2 m
To calculate this, we need to multiply the force by the distance.
8.0 N x 4.0x10^2 m = 32.0x10^2 N·m
To simplify the answer, we can express it in scientific notation:
32.0x10^2 N·m = 3.2x10^3 N·m
Therefore, the work required to pull the wagon along a horizontal road for 4.0x10^2 m at a constant speed of 3.0 m/s, with a force of friction of 8.0 N, is 3.2x10^3 N·m.