Question

A box weighing 2000 N is sliding across a cement floor. The force pushing the box is 500 N and the coefficient of sliding friction between the box and the floor is 0.20. What is the acceleration of the box?

Answer 1

Answer:

0.49m/s^2

Refer the image..

Answer 2

Given: The weight of the box is 2000 N.

The box is pushed by a force of 500 N.

Coefficient of sliding friction between the box and the floor is 0.20.

To find: The acceleration of the box.

Solution:

Coefficient of sliding friction is a dimensionless number which shows the amount of sliding friction between two objects for one normal force pushing between them together.

We know that:

Mass = $\frac{Weight}{acceleration due to gravity}$

         $=\frac{2000 N}{9.8 m/s^{2} } \\=203.9 kg$

Force of a body is defined by the product of its mass and its acceleration.

∴ Force = Mass × Acceleration

$\begin{align} & \Rightarrow (500-0.2)=203.9\times acceleration \\ & \Rightarrow 499.8=203.9\times acceleration \\ & \Rightarrow acceleration=\frac{499.8}{203.9} \\ & \Rightarrow acceleration=2.45m/{{s}^{2}} \\ \end{align}$

Hence, the acceleration of the box is $2.45m/{{s}^{2}}$.