Question

A 15 kg box rest on a frictionless horizontal surface attached to a 5 kg box as shown below (a) what is the acceleration of the system? (b) what is the tension in rope?

Answer 1

(a) $T=15a$ and $T-5g=-5a\to a=g/4=9.81/4=2.45\ (m/s^2)$

(b) $T=15\cdot2.45=36.8\ (N)$