4. A nitrogen ion with a mass of 2.4times 10^-26 kg has a -2e charge and is situated I in an atmospheric electric field of 200.0N/C. Calculate the magnitude of the initial acceleration of the ion. (7.4)Th A

Here's how to calculate the initial acceleration of the nitrogen ion:**1. Identify the Given Information:*** **Mass (m):** kg* **Charge (q):** -2e (where e is the elementary charge, C)* **Electric Field (E):** 200.0 N/C**2. Calculate the Force on the Ion:**The force on a charged particle in an electric field is given by Coulomb's Law:F = qEFirst, calculate the total charge (q):q = -2 * (1.6 x 10⁻¹⁹ C) = -3.2 x 10⁻¹⁹ CNow, calculate the force (F):F = (-3.2 x 10⁻¹⁹ C) * (200.0 N/C) = -6.4 x 10⁻¹⁷ NThe negative sign indicates the force is opposite the direction of the electric field, which is expected for a negative charge. The magnitude of the force is what we need for the next step.**3. Calculate the Acceleration:**Newton's second law of motion states:F = mawhere:* F is the force* m is the mass* a is the accelerationWe can rearrange this equation to solve for acceleration (a):a = F/mNow, plug in the values:a = (6.4 x 10⁻¹⁷ N) / (2.4 x 10⁻²⁶ kg) = 2.67 x 10⁹ m/s²**4. Final Answer:**The magnitude of the initial acceleration of the nitrogen ion is (rounded to two significant figures).