Question

An object has an acceleration of 6.0 m/s/s. If the mass of this object were halved
(i.e., reduced to one-half the original value) (with no change in its net force), then its
new acceleration would be m/s/s.​

Answer 1

Answer:

a = 12 m/s2

Explanation:

F = m a

$m \times 6 = \frac{m}{2} \times a \\ a = 6 \times 2 \\ a = 6 \: \frac{m}{ {s}^{2} }$

Answer 2

Given

Acceleration of object = 6 m/s²

If mass of object were halved(reduced to one-half to original value) (with no change in its net force).

To find

New acceleration of object

Solution

Let the original mass of object be m & new mass of object (it will be half) be m/2

But as the net force won't change, so net force will remain same in both cases.

We know that,

➝ Force = Mass * Acceleration

First case :

➝ Force = m * 6

➝ Force = 6m N

Second Case :

⇒ Force = Mass * Acceleration

⇒ 6m = m/2 * Acceleration

⇒ 6m = Acceleration/2

⇒ 6m * 2 = Acceleration

⇒ Acceleration = 12 m/s²

Now, change in acceleration :

⇒ Change = New acceleration/Original Acceleration

⇒ Change = 12/6

⇒ Change = 2 times.

Hence,

New acceleration of object will be 2 times original acceleration & it will be 12 m/s²