Magnetic force of a falling ball

AI Thread Summary
A metal ball with a charge of 4.5 × 10−6 C is thrown horizontally at 43 m/s from a height of 63 m in a magnetic field of 0.071 T. The participant initially calculated the vertical velocity using the formula V=sqrt(2*g*H) but overlooked the need to combine both vertical and horizontal components for total velocity in the magnetic force equation F=QVB. After some confusion, they clarified that the correct approach involves adding the initial horizontal velocity to the vertical component before applying it to the force equation. Ultimately, they resolved their misunderstanding with assistance from others in the discussion. The thread highlights the importance of considering both velocity components when calculating magnetic force.
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Homework Statement



A metal ball having net charge 4.5 × 10−6 C
is thrown out of a window horizontally at a
speed 43 m/s. The window is at a height
63 m above the ground. A uniform horizon-
tal magnetic field of magnitude 0.071 T is
perpendicular to the plane of the ball’s tra-
jectory.
The acceleration of gravity is 9.8 m/s2 .
Find the magnitude of the magnetic force
acting on the ball just before it hits the
ground. Answer in units of N.

Homework Equations



F=QVB
V=sqrt(2*g*H)


The Attempt at a Solution



i enterd the given values and solved for v and then re-enterd the answer in the force equation but my final solution is wrong don't why .. can somone explain were I am going wrong

thanx
 
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mba444 said:
V=sqrt(2*g*H)
This gives the vertical component of velocity, but don't forget about the horizontal component. (In the force equation, you need the total velocity.)
 
which is the initial velocity given in the equation
 
what i did
is that i added the Vo + sqrt(2gh) .. then i multilpied it by the charge and the nagnetic field

is that what you meant !
 
finish i figured it out thanks alot
 
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