You also control the initial horizontal velocity of the positively charged parti

Question

You also control the initial horizontal velocity of the positively charged particle. Your challenge is to have the charge arrive at the point (0.3, 0) m, which is the location of an atom. Solving this problem requires you to combine your knowledge of fields with concepts from the study of two-dimensional motion, specifically projectile motion. In this simulation, you will see the experimental arrangement depicted in the diagram above. Your task is to determine the magnitude and direction of the electric field. Then, pick a horizontal firing velocity so that a particle with charge 2.00 times 10^-13 C and mass 4.00 times 10^-12 kg will hit the atom. Your answer needs to be expressed to the nearest 0 1 m/s. When you are done, return here to answer some follow-up questions. If you need a hint about how to solve this problem, click here. What is the magnitude and direction of the electric field? What is the correct horizontal firing velocity needed to hit the target? The correct horizontal firing velocity is 37.5 m/s.

Explanation / Answer

Given that

distance s=0.3m

charge q=2*10^-13 C

mass m=4*10^-12 kg

speed u=0.1 m/s

now we find the electric field

electric field E=mg/q=4*10^-12*9.8/2*10^-13=19.6*10^1 N/c

direction of electric field is moving upwards

now we find the speed to hit

speed v=[0.1^2+2*9.8*0.3]^1/2=2.43 m/s

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