Answer : The acceleration due to gravity on the surface of planet X is, \(3m/s^2\)
Explanation :
Force : It is defined as the product of the mass of an object and the acceleration due to gravity.
Formula used : \(F=m\times a\)
where,
F = force
m = mass of an object
a = acceleration due to gravity
Now we have to calculate the acceleration due to gravity from the graph.
\(F=m\times a\\\\a=\frac{F}{m}=solpe\\\\a=\frac{F_2-F_1}{m_2-m_1}\)
\(F_1=6N,F_2=12N\) (from the graph)
\(m_1=2Kg,m_2=4Kg\)
Putting all the values in this formula, we get the acceleration due to gravity.
\(a=\frac{F_2-F_1}{m_2-m_1}=\frac{12-6}{4-2}=3m/s^2\)
Therefore, the acceleration due to gravity on the surface of planet X is, \(3m/s^2\)
