Respuesta :
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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