A rope is usd to pull a box 15mt across the floor.the rpe is @an angle of 46dgree to the horizntal. A force of628N is dne by the rope to the box.hw much work does the rope do on the box
Work = distance * force in the direction of motion
= 15 * 628 * cos 46
690j
To calculate the work done by the rope on the box, you can use the formula:
Work = Force × Distance × cosθ
Where:
- Force is the magnitude of the force applied by the rope (628N in this case).
- Distance is the distance the box is pulled across the floor (15 meters in this case).
- θ is the angle between the force and the direction of motion (46 degrees in this case).
Using this information, we can plug the values into the formula to find the work done:
Work = 628N × 15m × cos(46°)
First, we need to convert the angle from degrees to radians since the cosine function expects radians:
θ (in radians) = 46° × π / 180°
Now we can substitute the value back into the formula:
Work = 628N × 15m × cos(46° × π / 180°)
Calculating this expression will give you the work done by the rope on the box.