Hoover is standing on his futuristic hoverboard that can hover above ground as l

Question

Hoover is standing on his futuristic hoverboard that can hover above ground as long as it is charged and moving at a particular speed through the Earth's magnetic field.

An Unusual Force B-Force Practice Quiz 5 Hoover is standing on his futuristic hover board that X can hover above ground as long as it is charged and moving at a particular speed through the Earth's magnetic field. a) Considering the drawing, explain how you know whether the board should be positively or negatively charged b) Find an expression for the speed of the hover board in relation to the weight of Hoover and the hover board. c) If lighter Holly uses the hover board explain if the hover board will need to go faster, slower, or not change velocity in order to hover

Explanation / Answer

charge on the board should be negative as force on the board has to be toward upward direction to support the weight of Hoover

magnetic force on hover = charge * velocity * magnetic field

magnetic force on hover = q * v * B

this force has to balance weight of hoover

mg = qvB

v = mg / qB

magnetic force acts upward and gravity downward there is no force acting toward the direction of velocity so,

change in mass doesn't change velocity

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