Question

A tugboat pulls on an $84,000N$ barge with a cable having a breaking strength of $15,000N$. Find out the maximum acceleration the tugboat can apply to the barge without the cable breaking?

• A. $0.75m/s^2$
• B. $1.0m/s^2$
• C. $1.25m/s^2$
• D. $1.5m/s^2$
• E. $1.75m/s^2$

Answer 1

Answer: (E)

$1.75m/s^2$

Given : Breaking tension in the cable $T=15000$ $N$

Weight of barge $W=84000N$

$\therefore$ Mass of barge $M=\frac{W}{g}=\frac{84000}{9.8}kg$

$\therefore$ $T=Ma$

OR $15000=\frac{84000}{9.8}\times a$ $⟹a=1.75$ $m/s^2$