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boomerang285
 2 years ago
Please Help with Practice question!!!
An electrically charged particle accelerates uniformly from rest to speed v while traveling a distance x.
a) Show the acceleration of the particle is a= v^2/2x.
b) If the particle starts from rest and reaches a speed of 1.8 x 10^7 m/s over a distance of 0.10m, show that its acceleration is 1.6 x 10^15 m/s^2.
boomerang285
 2 years ago
Please Help with Practice question!!! An electrically charged particle accelerates uniformly from rest to speed v while traveling a distance x. a) Show the acceleration of the particle is a= v^2/2x. b) If the particle starts from rest and reaches a speed of 1.8 x 10^7 m/s over a distance of 0.10m, show that its acceleration is 1.6 x 10^15 m/s^2.

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boomerang285
 2 years ago
Best ResponseYou've already chosen the best response.0I know for B i just plug in the numbers...

shivaniits
 2 years ago
Best ResponseYou've already chosen the best response.0you know \[v ^{2}u ^{2}=2as\] and here s=x and u=0 since it started from rest so we have: \[v ^{2}0=2ax\] \[a=v ^{2}/2x\]

shivaniits
 2 years ago
Best ResponseYou've already chosen the best response.0now for second part just put the values for the equation.. hope this helps..!!

boomerang285
 2 years ago
Best ResponseYou've already chosen the best response.0so the equation for part A is ...

shivaniits
 2 years ago
Best ResponseYou've already chosen the best response.0yup that'w what you get after putting in the values x=s and u=0 in more general eqn \[v ^{2}u ^{2}=2as\]

boomerang285
 2 years ago
Best ResponseYou've already chosen the best response.0ok, then for B it comes out like ...

boomerang285
 2 years ago
Best ResponseYou've already chosen the best response.0[1.8 x 10^7]^2/ {2*0.1) ?

shivaniits
 2 years ago
Best ResponseYou've already chosen the best response.0hope this sorted you out..!!

boomerang285
 2 years ago
Best ResponseYou've already chosen the best response.01.62e + 15 m/s^2 ?

boomerang285
 2 years ago
Best ResponseYou've already chosen the best response.0thats what comes up on a calculator.....

shivaniits
 2 years ago
Best ResponseYou've already chosen the best response.0oh..the answer is \[16.2 \times 10^{14}\]

boomerang285
 2 years ago
Best ResponseYou've already chosen the best response.0hmm wonder why mine is so off...

shivaniits
 2 years ago
Best ResponseYou've already chosen the best response.0everything alright..!!
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