The acceleration of Object B should be 5 times the acceleration of Object A in order to make the table true.
We have a table that gives the values of mass, acceleration and force of object A and object B.
We have to find by how many times greater must the acceleration of Object B be than the acceleration of Object A to make the table true.
What is the formula to calculate the force of an object with mass 'm' and acceleration 'a' ?
The formula to calculate the force is -
F = m x a
In the table, for Object B -
Mass = 40 Kg
Force = 1800 N
Substituting the values -
a = [tex]\frac{F}{m}[/tex] = [tex]\frac{1800}{40}[/tex] = 45 [tex]m/s^{2}[/tex]
The acceleration of Object A is 9 [tex]m/s^{2}[/tex]. On comparing the acceleration of both the objects, we can see that the acceleration of Object B is 5 times the acceleration of Object A.
Hence, the acceleration of Object B should be 5 times the acceleration of Object A in order to make the table true.
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