Question

a railway of mass $50$ tons is pulling a wagon of mass $40$ tons with a force of $4500N$ . The resistance force acting is $1N$ per ton. The tension in the coupling between the engine and the wagon is :

• A. $1600N$
• B. $2000N$
• C. $3000N$
• D. $1500N$

Answer 1

The correct option is B $2000N$

By using the equation

$F=ma$

The acceleration of the combined masses are

$4500=\left(50+40\right)a$

$a=\frac{4500}{90}$

The acceleration is $50m/s^2$

The tension in the coupling between the engine and wagon is given as

$T=40\times 50$

Hence the tension is $2000N$