How Does an Antiproton Accelerate in Combined Electric and Magnetic Fields?

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An antiproton with a velocity of 500 m/s is subjected to a magnetic field of 2.5 T and an electric field of 1000 V/m. The relevant equations include F=ma and F=qvB, but the presence of the electric field complicates the calculation of acceleration. The correct magnitude of the antiproton's acceleration is determined to be 2.4x10^10 m/s². The discussion highlights confusion regarding the role of the electric field in the acceleration calculation. Understanding the interaction between electric and magnetic forces is crucial for solving such problems.
ursulan
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Homework Statement


An antiproton (same properties as a proton except that q=-e) is moving in the combined electric and magnetic fields of the figure

The antiproton is moving to the right with a velocity of 500m/s the magnetic field B=2.5T is coming into the page and E=1000V/m downward.

What is the magnitude of the antiproton's acceleration at this instant?

Homework Equations



F=ma, F=qvB

The Attempt at a Solution



The answer is 2.4x10^10m/s^2. I bascially went ma=qvB which didn't work. I'm not sure why it shows E.
 
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ursulan said:

Homework Statement


An antiproton (same properties as a proton except that q=-e) is moving in the combined electric and magnetic fields of the figure

The antiproton is moving to the right with a velocity of 500m/s the magnetic field B=2.5T is coming into the page and E=1000V/m downward.

What is the magnitude of the antiproton's acceleration at this instant?

Homework Equations



F=ma, F=qvB

The Attempt at a Solution



The answer is 2.4x10^10m/s^2. I bascially went ma=qvB which didn't work. I'm not sure why it shows E.

Maybe this will help?
http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/magfor.html#c2
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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