Answer:
The final acceleration becomes (1/3) of the initial acceleration.
Explanation:
The second law of motion gives the relationship between the net force, mass and the acceleration of an object. It is given by :
[tex]F=ma[/tex]
m = mass
a = acceleration
According to given condition, if the mass of a sliding block is tripled while a constant net force is applied. We need to find how much does the acceleration decrease.
[tex]a=\dfrac{F}{m}[/tex]
Let a' is the final acceleration,
[tex]a'=\dfrac{F}{m'}[/tex]
m' = 3m
[tex]a'=\dfrac{F}{3m}[/tex]
[tex]a'=\dfrac{1}{3}\times \dfrac{F}{m}[/tex]
[tex]a'=\dfrac{1}{3}\times a[/tex]
So, the final acceleration becomes (1/3) of the initial acceleration. Hence, this is the required solution.
