Question

Asked Jan 25, 2019

832 views

How much equal charge should be placed on the Earth and the Moon so that the electrical repulsion balances the gravitational force of 1.98×10^20N? Treat the Earth and Moon as point charges a distance 3.84×10^8m apart.

1 Rating

Step 1

Find how much equal charge should be placed on the Earth and the Moon to balance the electrical repulsive force with the gravitational force.

**Given information:**

The gravitational force between earth and moon is equal to the electrostatic repulsive force act between charges placed on them.

The magnitude of the gravitational force is 1.98 x10^{20 }N.

Distance between Earth and Moon is 3.84 x10^{8 }m.

Equal charges are placed on the Earth and Moon.

Step 2

**Formula used:**

We apply Coulomb’s law to find the magnitude of charges.

This law states that the electrostatic force acts between two charges in proportional to the product of the charges and inversely proportional to the square of the distance between them.

Here, k is the coulombic constant, q1 and q2 are two-point charges and r is the distance between charges.

Using equation-1 electrostatic force acts between Earth and the moon is,

Here, q_{E} is the charge on earth, q_{M} is the charge on moon. r_{EM} is the distance between Earth and Moon.

As charge on the Earth and the Moon is same.

Rearrange the equation to find the product of charges.

Step 3

**Calculation:**

Substitute all the given values in equation-...

Tagged in

Q: A sandwich board advertising sign is constructed as shown in attached image. Its mass is 6.40 kg. (S...

A: Consider the free body diagram (FBD) of the complete figure as provided.Here m is the mass of the sa...

Q: The riders push on the mower with a constant force of 45 Newtons for an hour.Using v = 0.40 m/sec, t...

A: Given:

Q: collin stands on a 60.0 m high cliff shooting a cannon. he is using a launch angle of 42.0 degree an...

A: (a) In order to find the range of the time of flight of the cannon balls have to be found.(b) The am...

Q: A body of unknown mass is attached to an ideal spring with force constant 122 N/m. It is found to vi...

A: a)The expression for the time period is,

Q: (a) How much gravitational potential energy (relative to the ground on which it is built) is stored ...

A: a)The gravitational potential energy is,

Q: 1. what is the relationship between the currents I1, I2, and I3 at junction A. 2. what is Kirchhoff ...

A: (1)According to the Kirchhoff’s current law, the total current in the junction A is,

Q: At the beginning of a basketball game, a referee tosses the ball straight up with a speed of 5.1 m/s...

A: The minimum time that a player should wait can be calculated as follows:Given:Initial velocity of th...

Q: A rocket is fired at a speed of 75.0 m/s from ground level, at an angle of 69.9° above the horizonta...

A: Let vcos(theta) be the horizontal component of velocity.the time taken by rocke tto reach above wall...

Q: A traveler pulls on a suitcase strap at an angle of 36 degrees above the horizontal. If 555 J of wor...

A: The work done on the strap=555 J.The distance moved by the strap =15 m.The angle made with the horiz...