Given:
mass of object, m = 25 kg
accelaration of the object, a = 2 m/[tex]s^{2}[/tex]
accelaration when force acts upon another object, a' = 5 m/[tex]s^{2}[/tex]
Explanation:
To find the mass m' of the object:
Given that:
mass ∝[tex]\frac{1}{accelaration}[/tex]
Also, from Newton's second law of motion:
F = ma (1)
where,
F = force
Now, using eqn (1)
F = [tex]m\times a[/tex]
F = [tex]25\times 2[/tex] = 50 N
Now, since constant force acts on both the objects:
Therefore, F' = [tex]m'\times a'[/tex] = F
50 = [tex]m'\times 5[/tex]
m' = 10 kg
Therefore, the mass, m' of the second object is 10 kg
