Answer:
754.6 m
Explanation:
The GPE (Gravitational potential energy) of an object with respect to the ground is given by
where
m is the mass of the object
g = 9.8 m/s^2 is the acceleration due to gravity
h is the heigth above the ground
Here we have
m = 12,400.05 kg is the mass
GPE = 91,700,000.00J is the GPE
Solving the formula for h, we find the heigth:
Answer:
Radius between electron and proton
Explanation:
The motion of the electron is carried out in the orbit due to the balancing of the electrostatic force between the proton and the electron and the centripetal force acting on the electron.
The electrostatic force is given as =
Where,
k = coulomb's law constant (9×10⁹ N-m²/C²)
q₁ and q₂ = charges = 1.6 × 10⁻¹⁹ C
r = radius between the proton and the electron
Also,
Centripetal force on the moving electron is given as:
=
where,
= mass of the electron (9.1 ×10⁻³¹ kg)
V = velocity of the moving electron (given: 6.1 ×10⁵ m/s)
Now equating both the formulas, we have
=
⇒
substituting the values in the above equation we get,
⇒