Mars has a radius of about 0.38 Earth radius and a mass of only 0.11 Earth mass. Estimate the acceleration due to gravity on Mars.

gmars=.11^2/.38 * 9.8=?

To estimate the acceleration due to gravity on Mars, we can use the formula for the acceleration due to gravity:

acceleration due to gravity = (G * M) / r^2

Where:
G = gravitational constant ≈ 6.67430 × 10^-11 m^3 kg^-1 s^-2
M = mass of the celestial body (in this case, Mars)
r = radius of the celestial body (in this case, Mars)

Given:
Radius of Mars (r) = 0.38 times the radius of Earth
Mass of Mars (M) = 0.11 times the mass of Earth

The acceleration due to gravity on Mars can be calculated as:

acceleration due to gravity on Mars = (G * M) / r^2

Substituting the values:

acceleration due to gravity on Mars = ((6.67430 × 10^-11 m^3 kg^-1 s^-2) * (0.11 * mass of Earth)) / (0.38 * radius of Earth)^2

The mass of Earth is approximately 5.972 × 10^24 kg, and the radius of Earth is approximately 6,371 km.

Substituting further:

acceleration due to gravity on Mars = ((6.67430 × 10^-11 m^3 kg^-1 s^-2) * (0.11 * 5.972 × 10^24 kg)) / (0.38 * 6,371,000 m)^2

Simplifying the equation and performing the calculations will give us the estimated acceleration due to gravity on Mars.

To estimate the acceleration due to gravity on Mars, we can use Newton's law of universal gravitation. The formula states that the gravitational force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

First, let's calculate the surface gravity on Mars. The surface gravity (or acceleration due to gravity) can be defined as the force experienced by an object near the planet's surface. On Earth, the acceleration due to gravity is approximately 9.8 meters per second squared (m/s²).

Given that Mars has a radius of about 0.38 Earth radius and a mass of 0.11 Earth mass, we can calculate the gravitational acceleration on Mars using the following steps:

1. Determine the ratio of the radii:
Mars radius / Earth radius = 0.38

2. Square the ratio:
(Mars radius / Earth radius)² = (0.38)²

3. Determine the ratio of the masses:
Mars mass / Earth mass = 0.11

4. Multiply the square of the ratio of the radii by the ratio of the masses:
(Mars radius / Earth radius)² * (Mars mass / Earth mass) = (0.38)² * 0.11

5. Multiply the result by the acceleration due to gravity on Earth (9.8 m/s²):
((Mars radius / Earth radius)² * (Mars mass / Earth mass)) * 9.8 = (0.38)² * 0.11 * 9.8

Now we can calculate the acceleration due to gravity on Mars:

(0.38)² * 0.11 * 9.8 ≈ 3.71 m/s²

Therefore, the estimated acceleration due to gravity on Mars is approximately 3.71 meters per second squared (m/s²).

This question is wrong. Mars' GRAVITY is about .38 Earth's. It's radius is about .54 Earth's. So by universal gravitation

g = GM/r^2

g = G .11 / (.54 r)^2 =
.11/.54^2 *9.8