Plz help,

Prove this statement to be true or false: You weigh less on a planet the closer it is to the Sun. If false, what factor would make you weigh less on a planet? Explain by using the formula: Fg*=mg

Thank you.

False, the factors that can affect the weight are the mass of the planet and the radius of the planet.

Explanation:

First, we can write the weight as:

W = m*g

where m is the mass and g is the gravitational acceleration.

For example. g in the Earth is 9.8m/s^2, and g on Mars is 3.71 m/s^2, so you will weight more in Earth than on Mars, and Earth is closer to the Sun than Mars, so the statement is false.

Now, the gravitational acceleration depends primarily on the mass of the planet, this is because the gravitational force between two objects can be written as:

F = G*M*m/r^2

Where M is the mass of the planet, and m is your mass and r is the distance between you and the planet, if you are in the surface, r is the radius of the planet.

Here we can see that planets with more mass and smaller radius (more density) have the strongest gravitational force on any object near them.

speed of light in vacuum is 300,000 km/s

speed of light in other mediums is given by the expression v = c/n, where c is the speed of light in vacuum and n is the refractive index of medium.

for the first medium v = 200,000 km/s

  so, refractive index of medium = 300000/200000 = 1.5

    1.5 refractive index is usually for glass. so first medium is glass.

for the second medium v = 250,00 km/s

so, refractive index of medium = 300000/250000 = 1.2

    1.2 refractive index is usually for water. so second medium is water.

for the third medium v = 0 km/s

so, refractive index of medium = 300000/0 = ∞

    ∞ refractive index is usually for opaque mediums. so third medium is opaque medium.