kalkidani
contestada

if the force acting on a body of mass 4kg accelerates it at constant rate of 4m/s. what would be the acceleration of the mass when mass is halfed?

Respuesta :

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].