At New York City, the earth's magnetic field has a vertical component of 5.2 10-5 T that points downward (perpendicular to the ground) and a horizontal component of 1.8 x 10^-5 T that points toward geographic north (parallel to the ground). What is the magnitude and direction of the magnetic force on a 7.0 m long, straight wire that carries a current of 29 A perpendicularly out of the ground?

magnitude ________ N
direction __________ (N, E, S, W)

please help!! i need this by midnight tonight!

To find the magnitude and direction of the magnetic force on a current-carrying wire, you can use the formula:

F = BILsinθ

Where:
F is the magnetic force
B is the magnetic field
I is the current
L is the length of the wire
θ is the angle between the wire and the magnetic field

Given data:
Bv = 5.2 x 10^(-5) T (vertical component)
Bh = 1.8 x 10^(-5) T (horizontal component)
I = 29 A (current)
L = 7.0 m (length of the wire)

First, you need to find the total magnetic field (B) using the given vertical and horizontal components of the magnetic field. Since the components are perpendicular to each other, you can use the Pythagorean theorem:

B = sqrt(Bv^2 + Bh^2)

Substituting the values, we get:

B = sqrt((5.2 x 10^(-5))^2 + (1.8 x 10^(-5))^2)
B ≈ 5.581 x 10^(-5) T

Next, you need to find the angle θ between the wire and the magnetic field. In this case, the wire is perpendicular to the ground, so θ will be 90 degrees or pi/2 radians.

Now you can calculate the magnitude of the magnetic force:

F = BILsinθ
F = (5.581 x 10^(-5)) * (29) * (7.0) * sin(90 degrees)
F ≈ 1.781 N

The magnitude of the magnetic force is approximately 1.781 N.

To determine the direction of the magnetic force, you need to use the right-hand rule. If the current is perpendicular to the ground, and the magnetic field points downward, the force will be directed either to the north or to the south.

Since the current is flowing out of the ground, you can use the right-hand rule by pointing your thumb upwards (opposite to the current) and your fingers should wrap around in the direction of the magnetic field. With the magnetic field pointing downward, your fingers should point towards the south.

Therefore, the direction of the magnetic force is South (S).

To summarize:
Magnitude: 1.781 N
Direction: S (South)