Question

A car of mass $200kg$is accelerating under the action of a force $F=3000N$as shown in figure. A block of mass $3kg$is at rest on the surface of car. $[3kgisincludedin200kg]$. Determine the net force acting on the $3kg$ mass.

Answer 1

Step 1: Given

1. Mass of the car and the block, $M=200kg$
2. Mass of the block, $m=3kg$
3. Force, $F=3000N$

Step 2: Determine the acceleration

1. The force exerted is given by,
2. $$\begin{gathered} F=ma \\ a=\frac{F}{m} \end{gathered}$$
3. Here,
4. $$\begin{gathered} a=\frac{F}{M} \\ =\frac{3000}{200} \\ =15m{s}^{-2} \end{gathered}$$

Step 3: Determine the net force acting on the block

1. Using the mass and the calculated acceleration,
2. $$\begin{gathered} F_{net}=ma \\ =3kg\times 15m{s}^{-2} \\ =45N \end{gathered}$$

The net force acting on the $3kg$mass is $45N$