A net force of 1.6×10^−15 N acts on an electron over a displacement of 5.0 cm, in the same direction as the net force. What is the change in kinetic energy of the electron?
work done = 1.6 * 10^-16 * .05 Joules
which is the change in kinetic energy
To calculate the change in kinetic energy of the electron, you need to use the work-energy theorem, which states that the net work done on an object is equal to the change in its kinetic energy.
The formula for calculating work is given by:
Work = Force × Displacement × cos(θ)
In this case, the force is 1.6×10^−15 N, the displacement is 5.0 cm (which is 0.05 m since 1 m = 100 cm), and the angle θ between the force and displacement is 0 degrees (since they are in the same direction, the cosine of 0 degrees is 1).
Plugging the values into the formula, we have:
Work = (1.6×10^−15 N) × (0.05 m) × cos(0°)
Since cos(0°) is equal to 1, we can simplify the expression:
Work = (1.6×10^−15 N) × (0.05 m) × 1
Now, multiply the values:
Work = 8×10^−17 J
The work done on the electron is 8×10^−17 J. According to the work-energy theorem, this work done is equal to the change in kinetic energy of the electron. Therefore, the change in kinetic energy of the electron is 8×10^−17 J.