Answer to Question #204246 in Physics for skhart

Question

A 3000-kg car pulled a 1000-kg crate along a straight highway. A driving force of 9000 N accelerates the car and the crate at 1.5 m/s2 . Assuming that one-third of the total friction is acting on the crate and two-thirds on the car, determine the total friction and the magnitude of the tension at the rope

Answer 1

$$(m+M)a=F-F_f\\(3000+1000)1.5=9000-F_f\\F_f=3000\ N$$

$$1000(1.5)=T-1000\\T=2500\ N$$