Answer to Question #297578 in Physics for Crieza

Question

A 2.5 KG MASS AND A 4 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:

$m_1=\rm 2.5\: kg$

$m_2=\rm 4\: kg$

(a) The acceleration of system

$$a=g\frac{m_2-m_1}{m_2+m_1}=9.8*\frac{4.0-2.5}{4.0+2.5}=2.3\:\rm m/s^2$$

(b) The tension in cord

$$T=m_2(a-g)=4(9.8-2.3)=30\:\rm N$$