Answer:
Charge on Moon and Earth is 5.43x10¹³ C .
Explanation:
Gravitational force is the force of attraction between any two bodies having mass while Electrostatic force is the force experienced by two charge bodies. Electrostatic force can be attractive or repulsive.
Let M and m be the mass of Earth and Moon respectively, d is the distance between Earth and Moon and q be the charge on Earth and -q be on the Moon.
Gravitational force, F₁ =
Here G is gravitational constant.
Electrostatic force, F₂ =
Here k is Coulomb constant.
According to the problem, the gravitational force between Earth and Moon is equal to the electrostatic force between them.
F₁ = F₂
=
=
Put 6.07x10⁻¹¹ N m²/kg² for G, 5.97x10²⁴ kg for M, 7.34x10²² kg for m and 9x10⁹ N m²/C² in the above equation.
= q²
q =
q = 5.43x10¹³ C
C
Tfsdghjjjjjhvv (Ignore)
We'll find the car's speed first, and then use that to find the velocity.
Speed = (distance covered) / (time to cover the distance)
Speed = (240 miles) / (3 hours)
Speed = (240/3) · (miles/hours)
Speed = 80 mile/hour
Now to convert the units, we'll use
-- 1 mile = 1,609 meters
-- 1 hour = 3,600 seconds
(80 miles/1 hour) · (1,609 meter/1 mile) · (1 hour/3,600 second) =
(80 · 1,609 · 1) / (1 · 1 · 3,600) (mile · meter · hour / hour · mile · second) =
35.76 meter/second
Now, to make a velocity, all we need to do is to add the direction to the speed.
So the car's <em>velocity</em> is <em>80 mi/hr south</em>, or <em>35.76 meter/sec south</em> .