A farmer is attempting to take a chicken across a river in a motorboat while a fox waits on shore with a bag of grain. If the river has a current with a velocity of 2.0 m/s and the boat maintains a speed relative to the water of 4.5 m/s, in which direction (angle) should the farmer point the boat so that the boat follows a straight path directly across the river?

The farmer should go approximately 26.39° relative to the direction of and toward the river current velocity or approximate 90 - 26.39 which is 63.12° clockwise from the perpendicular direction across the river

Explanation:

The given parameters are;

The river current velocity = 2.0 m/s

The boat speed relative to the water = 4.5 m/s

Therefore, for the boat to have a resultant velocity that will follow a straight path directly across the river, we have;

The water current velocity, 2 m/s, the relative speed of the boat, 4.5 m/s, and the resultant velocity, v, form a right triangle, with the water current being the base, and the boat's relative speed being the hypotenuse side, while the height is the resultant velocity

Therefore, we have;

The direction of the boat relative to the direction of current the river = θ

The relative speed of the boat × sin(θ°) = The river current velocity

∴ sin(θ°) = The river current velocity/(The relative speed of the boat)

Which gives;

sin(θ°) = 2 m/s/(4.5 m/s) = 2/4.5 = 4/9

θ = sin⁻¹ = sin⁻¹(4/9) ≈ 26.39°

Therefore, the farmer should go approximately 26.39° relative to the direction of  and toward the river current velocity or approximate 90 - 26.39 which is 63.12° clockwise from the perpendicular direction across the river.

probably not the "magnets"in the magnet, so to speak, are thought to be electrons orbiting in shells. vurrent loops two sides to the loop