Physics Problem - 13 | Educational portal. Solving problems in physics, mathematics, chemistry.
Two coupled cars of mass $m = 10 t$ each roll along the rails. The coefficient of sliding friction between the wheels of the cars and the rails is $\mu = 0.3$, rolling friction can be neglected. Suddenly, the axles of the rear wagon are jammed so that its wheels stop rotating. Find the acceleration of the cars and the force acting on the coupling (the device connecting the cars) after the axles jam. How much time will elapse before the cars stop if their initial velocity is $v = 10 m/s$?


Decision:


The acceleration of the cars after the axles of the rear car jam $a = \frac{ \mu mg}{2} = 1.5 m/s^{2}$. The force acting on the coupling is $F = ma = 1.5N$. The cars will stop after $t = \frac{v}{a} = 6.7 s$