Question

Two masses $m _ { 1 }$ and $m _ { 2 }$ are attached to a string which passes over a frictionless smooth pulley. When $m _ { 1 } = 10 \mathrm {~kg}$ $m _ { 2 } = 6 \mathrm {~kg}$ the acceleration of masses is

• A. 20 $m / s ^ { 2 }$
• B. $5 m / s ^ { 2 }$
• C. 2.5 $m / s ^ { 2 }$
• D. $10 \mathrm {~m} / \mathrm { s } ^ { 2 }$

Answer 1

Answer: (C)

2.5 $m / s ^ { 2 }$

Answer 2

$a = \frac { m _ { 1 } - m _ { 2 } } { m _ { 1 } + m _ { 2 } } g$ $= \left( \frac { 10 - 6 } { 10 + 6 } \right) 10$ $= 2.5 \mathrm {~m} / \mathrm { s } ^ { 2 }$