1. The problem statement, all variables and given/known data
A mass m=100[kg] is released from stand still at point A which is in a distance of 1E7[m] from the face of a planet.
The planet's radius is also 1E7[m] and the free fall acceleration on it's face is 10[m/s2.
What is the acceleration at point A
2. Relevant equations
The acceleration: ##g=\frac{GM}{r^2}##
3. The attempt at a solution
First i find the mass:
$$10=\frac{6.7E-11\cdot M}{1E7^2}\Rightarrow M=1.49E18$$
$$g=\frac{6.7E-11\cdot 1.49E18}{2E7^2}=250E-9$$
Obviously this is wrong, the answer should be g=2.5
A mass m=100[kg] is released from stand still at point A which is in a distance of 1E7[m] from the face of a planet.
The planet's radius is also 1E7[m] and the free fall acceleration on it's face is 10[m/s2.
What is the acceleration at point A
2. Relevant equations
The acceleration: ##g=\frac{GM}{r^2}##
3. The attempt at a solution
First i find the mass:
$$10=\frac{6.7E-11\cdot M}{1E7^2}\Rightarrow M=1.49E18$$
$$g=\frac{6.7E-11\cdot 1.49E18}{2E7^2}=250E-9$$
Obviously this is wrong, the answer should be g=2.5
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