Use the work-energy theorem to find the force required to accelerate an electron (m = 9.11 × 10^-³¹ kg) moving along the x axis from 4.00 × 10⁶ m/s to 1.60 × 10⁷ m/s in a distance of 0.0125 m. A)8.75 × 10^-¹⁵ N B)5.47 × 10^-²² N C)8.20 × 10^-¹⁷ N D)1.64 × 10^-¹⁴ N E)3.56 × 10^-¹⁹ N

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Quizplus · Accepted Answer

The work-energy theorem states that the work done on an object is equal to the change in its kinetic energy. The change in kinetic energy is calculated using the formula ΔKE = 0.5 * m * (v_f^2 - v_i^2). The work done is also equal to the force times the distance (W = F * d). Solving for force, F = ΔKE / d. Substituting the given values, the force required is approximately 8.75 × 10^-15 N.

Use the Work-Energy Theorem to Find the Force Required to Accelerate