Question

A force f gives an object with mass m an acceleration a. if this force is applied to an object of mass one fourth m what is the new acceleration
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Answer 1

Answer:

The new acceleration is 4 times the old acceleration, which is 4a

Explanation:

In both cases force, f is same

and we know that F=ma

Thus, first case,

F = ma

Second case, let new acceleration be a'

F = m/4 a'

As both forces are same,

ma = m/4 a'

Thus, a' = 4a

Hope it helps :)

Answer 2

★QuestioN :

A force f gives an object with mass m an acceleration a. if this force is applied to an object of mass one fourth m what is the new acceleration

★ANswer :

❖The acceleration is 1/4a.

★SolutioN :

A force f gives an object with mass m an acceleration a.

✔Therefore,

Force = Mass  ×  Acceleration

F = ma

✔Now,

If this force applied to an object to an object of mass one fourth m

✔Therefore,

F = 1/4ma

As we know that,

Force = Mass × Acceleration

ma' = 1/4ma

a' = 1/4a

∴Hence, The acceleration is 1/4a