Question

two bodies have masses in the ratio 3:4. when a force is applied on first body, it moves with an acceleration of 6 m/s. How much acceleration the same force will produce in the other body?​

Answer 1

Answer:

Two bodies have mass in the ratio 3:4 So two bodies have masses 3k and 4k. Acceleration produced in body of mass 3k => 6 m/s^2. 6× 3k => 4k × a => a = 4.5 m/s^2.

Acceleration produced in body of mass 4k => 4.5 m/s^2.

Answer 2

$\huge{\mathfrak{\blue{\underline{\underline{SoluTion:-}}}}}$

Suppose the masses are 3m and 4m and F is the force, so for first mass we have,

$\sf{\frac{F}{3m}=6}$

$\sf{\implies F=18m}$

$\sf{So\;acceleration\;in\;the\;second\;mass\;is,}$

$\sf{a=\frac{F}{4m}}$

$\sf{=\frac{18m}{4m}}$

$\sf{a = 4.5\;m/s^{2}}$

${\boxed{\boxed{\sf{\red{So,\;the\;acceleration\;produced\;by\;the\;second\;body\;is\;4.5\;m/s^{2}}}}}}$