Answer:
[tex]a_2=8\ m/s^2[/tex]
Explanation:
Given that,
Mass of a body = 4 kg
The acceleration of the body = 4 m/s²
We need to find the acceleration of the mass when the mass is halved.
New mass = 2 kg
We know that,
Force, F = ma
[tex]m\propto \dfrac{1}{a}\\\\m_1a_1=m_2a_2\\\\a_2=\dfrac{m_1a_1}{m_2}\\\\a_2=\dfrac{4\times 4}{2}\\\\a_2=8\ m/s^2[/tex]
So, the new acceleration is [tex]8\ m/s^2[/tex].