Magnetic force of a falling ball

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Homework Help Overview

The problem involves a charged metal ball thrown horizontally from a height, with a focus on calculating the magnetic force acting on it just before it impacts the ground. The context includes concepts from electromagnetism and projectile motion.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants discuss the calculation of the ball's velocity components, questioning the inclusion of both vertical and horizontal components in the force equation. There is mention of the original poster's attempts to apply the force equation and confusion regarding the final solution.

Discussion Status

The discussion has seen participants offering clarifications on the need to consider both components of velocity. The original poster indicates they have resolved their confusion, suggesting some productive direction has been achieved.

Contextual Notes

There is a focus on ensuring the correct application of physics equations, particularly regarding the total velocity of the ball in the context of magnetic force calculations. The original poster's initial misunderstanding highlights the complexity of combining different motion components.

mba444
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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 someone 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 a lot
 

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