calculate the force on an airplane which has acquired a net charge of 180 C and moves with the speed of 180 m/s perpendicular to the earth's magnetic field 5.0 x 10^-5 T.
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To calculate the force on a charged object moving in a magnetic field, you can use the formula:
F = q * v * B * sin(θ)
Where:
F is the force acting on the object (in Newtons),
q is the charge of the object (in Coulombs),
v is the velocity of the object (in meters per second),
B is the magnetic field strength (in Tesla),
θ is the angle between the velocity vector and the magnetic field direction.
In your case, the airplane has a net charge of 180 C and it's moving with a velocity of 180 m/s perpendicular to the Earth's magnetic field of 5.0 x 10^-5 T.
Since the velocity is perpendicular to the magnetic field, the angle θ is 90 degrees, and sin(90) = 1.
Plugging in the values into the formula:
F = (180 C) * (180 m/s) * (5.0 x 10^-5 T) * 1
F = 16.2 N
So, the force on the airplane is 16.2 Newtons.