a fisherman reels in 12.0 m of line while landing a fish, using a constant forward pull of 25.0 N. How much work does the tension in the line do on the fish?
To calculate the work done by the tension in the line on the fish, you need to use the formula:
Work = Force * Distance * cos(theta)
In this case, the force is the tension in the line, which is 25.0 N, and the distance is the length of the line reeled in, which is 12.0 m. The angle (theta) between the force and the direction of motion (the line being reeled in) is 0 degrees since the force is in the same direction as the displacement.
Now, you can plug in these values into the formula:
Work = 25.0 N * 12.0 m * cos(0°)
Since the cosine of 0° is 1, the equation simplifies to:
Work = 25.0 N * 12.0 m * 1
Calculating the value gives:
Work = 300 J
So, the tension in the line does 300 Joules (J) of work on the fish.