How much work is done to the wagon by the girl pulling her brother
shown in Figure 4.16, if she
travels 25 m? F= (50N), 30 DEGREES ANGLE
Work = 50*cos30 * 25 = 1083 Joules.
To calculate the work done by the girl pulling the wagon, we need to use the equation:
Work = Force × Distance × cosθ
Here, the force is given as 50 N and the distance is given as 25 m. However, we also need to take into account the angle between the force and the direction of motion, which is given as 30 degrees.
Step 1: Convert the angle from degrees to radians.
To do this, we use the formula: radians = degrees × π / 180
In this case, we have:
θ = 30 degrees × π / 180 = π / 6 radians
Step 2: Plug the values into the work equation and calculate the work done.
Work = 50 N × 25 m × cos(π / 6)
Work = 50 N × 25 m × cos(30 degrees)
Work = 50 N × 25 m × cos(π / 6)
Work ≈ 1082.5 Joules
Therefore, the work done by the girl pulling the wagon is approximately 1082.5 Joules.