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Two 1.0 g spheres are charged equally and placed 2.0 cm apart. when released, they begin to accelerate at 150 m/s2. what is the magnitude of the charge on each sphere?

Respuesta :

The charge on each sphere is 3. 337× 10^-13 C

How to determine the charge

The formula for force in an electric field is given as;

F = kQ/ r²

Where:

  • F is the force between the charges
  • k is the electric field constant =  8.99 × 10^9 N ⋅ m 2 /C 2.
  • r is the distance between the charges = 0. 02m
  • Q is the charge

Note that;

F = ma

F = 1. 0 × 150

F = 150N

Substitute the value into the formula

150 =  8.99 × 10^9 Q/ (0. 020)^2

150 =  8.99 × 10^9 Q/4× 10^-4

cross multiply

150× 4× 10^-4 = 8.99 × 10^9 Q

Q = 6 × 10^-3 /8.99 × 10^9

Q = 6. 67 × 10^-13 C/ 2 =  3. 337× 10^-13 C

Thus, the charge on each sphere is 3. 337× 10^-13 C

Learn more about electric field here:

https://brainly.com/question/14372859

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