Question

Two blocks of masses m₁ and m₂ are connected to each other with the help of a spring. If pushing force is given to mass m₁ providing acceleration a to it, then acceleration of m₂is

• A. $\frac { m _ { 1 } a - F } { m _ { 2 } }$
• B. $\frac { \mathrm { F } - \mathrm { m } _ { 1 } \mathrm { a } } { \mathrm { m } _ { 2 } }$
• C. a
• D. $\frac { \mathrm { F } - \mathrm { m } _ { 1 } \mathrm { a } } { \mathrm { m } _ { 1 } }$

Answer 1

Answer: (B)

$\frac { \mathrm { F } - \mathrm { m } _ { 1 } \mathrm { a } } { \mathrm { m } _ { 2 } }$

Answer 2

The force on mass m₁ is

F₁ = m₁a and force on m₂ is F₂ = m₂a'

but F = F₁ + F₂ = m₁a + m₂a'

∴ a' = $\frac { \mathrm { F } - \mathrm { m } _ { 1 } \mathrm { a } } { \mathrm { m } _ { 2 } }$