If M is the mass of the earth and R its radius, the ratio of the gravitational acceleration and the gravitational constant isA
Question
If M is the mass of the earth and R its radius, the ratio of the gravitational acceleration and the gravitational constant isA
Solution
To find the ratio of the gravitational acceleration and the gravitational constant, we can use the formula:
g = (G * M) / R^2
where: g is the gravitational acceleration, G is the gravitational constant, M is the mass of the earth, and R is the radius of the earth.
Step 1: Substitute the given values into the formula: g = (G * M) / R^2
Step 2: Simplify the equation: g/G = M / R^2
Step 3: Divide both sides of the equation by G: (g/G) / G = (M / R^2) / G
Step 4: Simplify the equation further: (g/G^2) = M / (R^2 * G)
Therefore, the ratio of the gravitational acceleration and the gravitational constant is (g/G^2) = M / (R^2 * G).
Similar Questions
If R is the radius of the earth and g is the acceleration due to gravity on the earth’s surface, then the density of the earth isa.3g/4πGRb.4g/3πGRc.3G/4gπRd.3gR/4πG
If a planet has a radius 20% greater than that of the Earth but has the same mass as the Earth, what is the acceleration due to gravity at its surface?Select one:a.6.8 m/s2b.14 m/s2c.12 m/s2d.8.2 m/s2
What would be the acceleration (m/s2) due to gravity on a planet whose mass is 1/7th the mass of the earth and radius half the radius of the earth (g = 9.8 m/s2)a.3.4b.4.9c.5.6d.4.2
2. The value of acceleration due to gravity ‘g’ depends on: 1. Constant of Gravitation ‘G’ 2. Mass of the earth ‘M’ 3. Mass of the falling object ‘m’ 4. Radius of the earth ‘R’ ?a, c, d b, c, d a, b, c a, b, d
prove that acceleration of earth is inveresly porportional to the aquare ofits radius
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.