Answer:
The equilibrium position for the third charge is 69.28 cm
Explanation:
Given;
q₁ = -5.00 x 10⁻⁹ C
q₂ = -2.00 x 10⁻⁹ C
q₃ = 15.00 x 10⁻⁹ C
distance between q₁ and q₂ = 40.0 cm = 0.4 m
(-q₁)--------------------------------------(-q₂)---------------------------------(+q₃)
At equilibrium the repulsive force between q₁ and q₂ must be equal to attractive force between q₂ and q₃
According to Coulomb's law, repulsive or attractive force between charges is calculated as;

where;
F is repulsive or attractive force between charges
K is Coulomb's constant = 8.99 x 10⁹ Nm²/c²
r₁ is the distance between q₁ and q₂
q₁, q₂ and q₃ are the charge
distance between q₂ and q₃, r₂ is calculated as;

Therefore, the equilibrium position for the third charge is 69.28 cm
Answer:
Spring constant, k = 1.16 N/m
Explanation:
It is given that,
Mass of the air track, m = 0.2 kg
Time, t = 2.6 s
Let T is the time period of the spring. The expression for the time and spring constant is given by :



k = 1.16 N/m
So, the spring’s force constant is 1.16 N/m. Hence, this is the required solution.
Answer:
2.204x10^2 -2 = 0.02204 in scientific notation.