Two 1.0g spheres are charged equally and placed 2.0cm apart. When released, they begin to accelerate at role="math" localid="1650358356011" 150m/s2 . What is the magnitude of the charge on each sphere?

Short Answer

Expert verified

82nCis the magnitude of charge in the sphere.

Step by step solution

01

Introduction

A mathematical object's volume, or size, is a quality that indicates whether it is larger or smaller than other objects of the same kind. The stated result of an arrangement —of the class of objects to something that relates —is an object's magnitude.

02

Find the magnitude of charge

Along the line that joins their centres, the two spheres simultaneously acted upon by a stress of equal size and opposing direction. Coulomb's law determines the magnitude of this foce.

F=kq2r2

with qdenotes each structure's charge and rdenotes the distance between their centres. Newton's second law states that the total between acceleration and force.

F=ma

We have

ma=kq2r2

Substitute in q

q=mar2k

Already we have

m=1g=103kg

r=2.0cm=2.0102m

a=150m/s2

And k=9109Nm2/C2. Incorporating this into the charge expression

q=82nC.

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