Q. A $2\ kg$ block is lying on a smooth table which is connected by a body of mass $1\ kg$ by a string which passes through a pulley. The $1\ kg$ mass is hanging vertically. The acceleration of block and tension in the string will be
A) $3.27m/s^{2},\ 6.54\ N$
B) $4.38m/s^{2},\ 6.54\ N$
C) $3.27m/s^{2},\ 9.86\ N$
D) $4.38m/s^{2},\ 9.86\ N$
Explanation
(a) Acceleration $= \frac{m_{2}}{m_{1} + m_{2}} \times g = \frac{1}{2 + 1} \times 9.8 = 3.27\ m/s^{2}$
and $T = m_{1}a = 2 \times 3.27 = 6.54\ N$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.