If the earth doubled in mass but stayed the same size, what would be the acceleration due to gravity at the surface? m/s2 The dimensions of the earth as we currently know it are: Mass = 5.98E24 kg, Radius = 6.38E6 m and the universal gravitational constant = 6.67e-11 nm2/kg2

The acceleration due to gravity at the surface of the earth is calculated using the equation:

g = (G*M)/(R^2)

where G is the universal gravitational constant, M is the mass of the earth, and R is the radius of the earth.

If the mass of the earth doubled but the size stayed the same, the acceleration due to gravity at the surface would be:

g = (6.67e-11 nm2/kg2 * (5.98E24 kg * 2))/(6.38E6 m)^2

g = 9.81 m/s2

To find the acceleration due to gravity at the surface of Earth if its mass is doubled, we can use the formula:

g = (G * M) / R^2

Where:
g = acceleration due to gravity
G = universal gravitational constant (6.67e-11 Nm^2/kg^2)
M = mass of the Earth
R = radius of the Earth

Given:
Mass of the Earth (M) = 5.98E24 kg
Radius of the Earth (R) = 6.38E6 m

First, let's calculate the initial acceleration due to gravity at the surface of Earth before doubling its mass:

g_initial = (G * M) / R^2
= (6.67e-11 Nm^2/kg^2 * 5.98E24 kg) / (6.38E6 m)^2

Now, let's calculate the new mass of the Earth (M') after doubling its mass:

New mass of the Earth (M') = 2 * M
= 2 * 5.98E24 kg

Now, we can calculate the new acceleration due to gravity at the surface:

g_new = (G * M') / R^2
= (6.67e-11 Nm^2/kg^2 * (2 * 5.98E24 kg)) / (6.38E6 m)^2

Simplifying the equation:

g_new = (2 * 6.67e-11 Nm^2/kg^2 * 5.98E24 kg) / (6.38E6 m)^2

Now you can calculate the new acceleration due to gravity (g_new) using the given values and the above equation.

To find the new acceleration due to gravity, we need to use the formula for gravitational acceleration:

g = (G * M) / R^2

Where:
g is the acceleration due to gravity,
G is the universal gravitational constant,
M is the mass of the planet, and
R is the radius of the planet.

In this case, we want to determine the new acceleration due to gravity if the mass of the Earth is doubled while maintaining the same radius. Let's denote the new mass as M'.

First, let's calculate the new mass by doubling the current mass:

M' = 2 * 5.98E24 kg

Next, we calculate the new acceleration due to gravity using the formula:

g' = (G * M') / R^2

Now, let's plug in the values:

g' = (6.67e-11 Nm^2/kg^2 * 2 * 5.98E24 kg) / (6.38E6 m)^2

Calculating this expression will give us the new acceleration due to gravity, expressed in m/s^2.