two tugboats pulled a disabled supertanker. each tug exerts a constant force of 1.80 x 10 degree N, one 14 degree west of north and the other 14 degree east of north, as they pull the tanker 0.75 km toward the north. what is the total work they do on the supertanker?
if two places on the ground that are located5 north and 10north are shown 10cm apart on a given map. what is the scale of the map?
To find the total work done on the supertanker, we need to calculate the work done by each tugboat individually and then add them together.
The work done by an object that is being pulled is given by the formula:
Work = Force x Distance x cos(theta)
Where:
- Force is the magnitude of the force applied in the direction of the motion.
- Distance is the magnitude of the displacement in the direction of the force.
- Theta is the angle between the force and displacement vectors.
Let's calculate the work done by each tugboat.
For the tugboat pulling 14 degrees west of north:
- Force = 1.80 x 10^6 N
- Distance = 0.75 km = 0.75 x 10^3 m
- Theta = 14 degrees
Work1 = (1.80 x 10^6 N) x (0.75 x 10^3 m) x cos(14 degrees)
Similarly, for the tugboat pulling 14 degrees east of north:
- Force = 1.80 x 10^6 N
- Distance = 0.75 km = 0.75 x 10^3 m
- Theta = 14 degrees
Work2 = (1.80 x 10^6 N) x (0.75 x 10^3 m) x cos(14 degrees)
Now, to find the total work done on the supertanker, we simply add the individual works together:
Total Work = Work1 + Work2
Calculate these values using a calculator, and you will get the total work done on the supertanker.