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
Question
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
Solution
The acceleration due to gravity on any planet can be calculated using the formula:
g' = G * (M'/r'^2)
where:
- g' is the acceleration due to gravity on the other planet,
- G is the gravitational constant,
- M' is the mass of the other planet, and
- r' is the radius of the other planet.
Given that the mass of the planet is 1/7th the mass of the earth and the radius is half the radius of the earth, we can substitute these values into the formula as follows:
g' = G * ((1/7)M/(1/2)r^2)
Simplifying this gives:
g' = G * ((2/7)M/r^2)
Since G * M/r^2 is the acceleration due to gravity on earth (g), we can substitute this into the formula to get:
g' = (2/7)g
Substituting the given value of g (9.8 m/s^2) gives:
g' = (2/7) * 9.8 m/s^2 = 2.8 m/s^2
So, the acceleration due to gravity on the planet would be 2.8 m/s^2. However, this option is not given in the choices. There might be a mistake in the question or the choices given.
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