Answer to Question #249846 in Other for maria

Question

two blocks of masses m1= 4.5 kg and m2= 6.5 kg resting on a frictionless surface connected by a light inextensible cord as shown in figure 3. a horizontal force F of 33 N directed to the right is applied to the block with m1 as shown. Find (a) the acceleration of the masses and (b) the tension T in the cord between the two blocks

Answer 1

Newton's Second Law of Motion

$$F-T=m_1a$$

$$T=m_2a$$

(a)

$$(m_1+m_2)a=F$$

$$a=\dfrac{F}{m_1+m_2}$$

$$a=\dfrac{33\ N}{4.5\ kg+6.5\ kg}=3\ m/s^2$$

(b)

$$T=m_2a$$

$$T=6.5\ kg(3\ m/s^2)=19.5\ N$$