Question

Mass of a body is quadrupled (four times) and force is halved, how will the acceleration change?

a) 1/2 times
b) 1/4 times
c) 1/8 times
d) 1/16 times

Answer 1

Explanation:

1/8 hope it helps you please mark BRAINLIST

Answer 2

The acceleration will become 1/8 times. (option c)

Given,

Mass of a body is quadrupled, and

force is halved.

To find,

How will the acceleration change?

Solution,

We know that the relationship between force (F), mass (m), and acceleration (a), from Newton's second law, is given by

$F = ma$

$a = \frac{F}{m} \hfill ...(1)$

Now, according to the given condition,

new force, F' = F/2, and

new mass, m' = 4m.

Let the acceleration after above changes be a'.

Then, substituting the above values in (1), we get,

$a'=\frac{F/2}{4m} =\frac{F}{8m} \\\implies a' = \frac{1}{8} a$

So, from the above equation, we can see that,

the new acceleration is $\frac{1}{8} th$ of the initial acceleration.

Therefore, the acceleration will become 1/8 times. (option c)

#SPJ3