Question

A man pushes a box of mass 50 kg with a force of 80N.What will be the accelaration of the box due to this force? what would be the accelaration if the mass were halved?

Answer 1

force=mass*acceleration
acceleration=force/mass
acceleration=80/50=1.6m/s
when mass is halved
acceleration=80/25=3.2m/s
if mass is halved then acceleration is doubled

Answer 2

Accelaration of box is 1.6 $\frac{m}{s^{2}}$

Accelaration after mass is halved is 3.2 $\frac{m}{s^{2}}$

Given:

Mass= 50 kg (m=50kg)

Force= 80N (F=80N)

Solution:

We know that Force=Mass × Acceleration  

F=ma

$\begin{array}{l}{80=50 \times a} \\ {a=\frac{80}{50}=1.6 \frac{m}{s^{2}}}\end{array}$

Now, we have to calculate the acceleration if the mass is halved. This means that mass is now 25 kg.

So, now m=25 kg

F=80N

F=ma

$\begin{array}{l}{80=25 a} \\ {a=\frac{80}{25}=3.2 \frac{m}{s^{2}}}\end{array}$

So, when mass is halved, the acceleration is doubled. This means that the relationship between mass and acceleration is inversely proportional.