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Answer:

The force required to give an acceleration 1.0×10² m/s² = 9.11×10⁻²⁹ N.

Explanation:

Force: Force can be defined as the product of mass of a body and its acceleration. The S.I unit of force is Newton. Force can be represented mathematically as

F = Ma.......................... Equation 1

Where F = force of the electron, M = mass of the electron, a = acceleration of the electron.

Given: a = 1.00×10² m/s²,

Constant: M = 9.11×10⁻³¹ kg

Substituting these values into equation 1,

F = 9.11×10⁻³¹ × 1.0×10²

F = 9.11×10⁻²⁹ N.

Therefore the force required to give an acceleration 1.0×10² m/s² = 9.11×10⁻²⁹ N.

The magnitude of force required to give an electron the given acceleration is 9.109 × 10⁻²⁹Newton.

Given the data in the question;

  • Acceleration of the electron; [tex]a = 1.00*10^2m/s^2[/tex]

Magnitude of the force required; [tex]F = \ ?[/tex]

From Newton's second law of motion:

[tex]F = m*a[/tex]

Where m is the mass of the particle and a is the acceleration:

We know that mass of electron; [tex]m_e = 9.10938* 10^{-31} kg[/tex]

We substitute our values into the equation

[tex]F = (9.10938* 10^{-31} kg) * (1.00*10^2m/s^2)\\\\F = 9.109 * 10^{-29}kg.m/s^2\\\\F = 9.109 * 10^{-29}N[/tex]

Therefore, the magnitude of force required to give an electron the given acceleration is 9.109 × 10⁻²⁹Newton.

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