Question

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?

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Answer 1

`a_2=8\ m/s^2`

Step-by-step 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

`m\propto (1)/(a)\\\\m_1a_1=m_2a_2\\\\a_2=(m_1a_1)/(m_2)\\\\a_2=(4* 4)/(2)\\\\a_2=8\ m/s^2`

So, the new acceleration is
`8\ m/s^2`.