Respuesta :
Answer:
3.3 × 10-10 joules
Explanation:
For the law of conservation of energy, the loss in electrical potential energy of the charge must be equal to the gain in kinetic energy of the particle:
[tex]U_A-U_B = K_B-K_A[/tex]
the kinetic energy of the charge at point A is zero: [tex]K_A=0[/tex], so we can immediately find the kinetic energy of the charge at point B:
[tex]K_B=U_A-U_B=5.6\cdot 10^{-10} J-2.3\cdot 10^{-10} J=3.3\cdot 10^{-10} J[/tex]
Answer: Option (d) is the correct answer.
Explanation:
According to work energy theorem, total work done on an object equals to the change in objects kinetic energy and change in potential energy.
Mathematically, [tex]\Delta Kinetic energy = -\Delta Potential energy[/tex]
It is given that potential energy at point A is [tex]5.6 \times 10^{-10}[/tex] joules and at point B it is [tex]2.3 \times 10^{-10}[/tex] joules.
Also, kinetic energy at point A is zero and at point B we will calculate the kinetic energy as follows.
[tex]\Delta Kinetic energy = -\Delta Potential energy[/tex]
[tex]K.E_{B} - K.E_{A}[/tex] = [tex]-[P.E_{B} - P.E_{A}][/tex]
[tex]K.E_{B} - 0[/tex] = [tex]-[2.3 \times 10^{-10} - 5.6 \times 10^{-10}][/tex]
= [tex]-( -3.3 \times 10^{-10})[/tex] joules
= [tex]3.3 \times 10^{-10}[/tex] joules
Thus, we can conclude that kinetic energy at point B is [tex]3.3 \times 10^{-10}[/tex] joules.