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