For the first question, you got them right, for the two you left blank, initial(beginning) velocity: 2 m/s the final velocity is: 12 m/s
Answer:
number protons and force are Q = 1,472 10⁻¹⁷ C F = 3,656 10⁻⁸ N
Explanation:
Atoms are neutral whereby the number of electrons in the atom is compensated by an equal number of positively charged protons in the nucleus, so there are 92 protons, the total charge can be found by a rule of proportions
Q = # proton * 1.6 10⁻¹⁹C
Q = 92 * 1.6 10⁻¹⁹
Q = 1,472 10⁻¹⁷ C
To calculate the force of an electron we use Coulomb's law
F = k q1 Q / r²
F = k e Q / r²
The Coulomb constante is 8.99 10⁹ N m² /C²
F = 8.99 10⁹ 1.6 10⁻¹⁹ 1,472 10⁻¹⁷ / (7.61 10⁻¹⁰)²
F = 3,656 10⁻⁸ N
This force is attractive.
The work done by the engine is equal to the gravitational potential energy (GPE) put into it. GPE = mgh
GPE = Work = 1200·9.81·13 = 153,036J