Answer to Question #297583 in Physics for Crieza

Question

A 2 KG MASS AND A 3 KG MASS ARE ATTACHED TO A LIGHT WEIGHT CORD THAT PASSES OVER A FRICTIONLESS PULLEY. THE HANGING MASSES ARE LEFT FREE TO MOVE. FIND THE

A. ACCELERATION

B. TENSION OF THE CORD

Answer 1

Given:

$m_1=\rm 2\: kg$

$m_2=\rm 3\: kg$

(a) The acceleration of system

$$a=g\frac{m_2-m_1}{m_2+m_1}=9.8*\frac{3-2}{3+2}=2\:\rm m/s^2$$

(b) The tension in cord

$$T=m_2(a-g)=3(9.8-2)=24\:\rm N$$