Question

A force of 20N acting on a mass m,, produces an
acceleration of 4 ms. The same force is applied on
mass m, then the acceleration produced is 0.5 ms .
What acceleration would the same force produce, when
both masses are tied together?​

Answer 1

Given

F1= 20N

a1= 4m/s^2

a2= 0.5m/s^2

M1 = F1/a1 = 5kg

M2 = F1/a2 = 40kg

Total mass = M1 + M2 = 45kg

acceleration = F1/(M1 + M2) = 20/45= 4/9 m/s^2= 0.444m/s^2

Answer 2

Answer:

For mass m1 ,

F = 20N

A = 4ms

then,

$f = \frac{m}{a} = \frac{20}{4}$

$5kg$

For mass m2,

F = 20N

A = 0.5ms

then,

$f = \frac{m}{a} = \frac{20}{0.5}$

$f = 40kg$

when m1 and m2 are tied together,

total mass = 45kg

F = 20 N

then,

$a = \frac{f}{m1 + m2}$

$= > \frac{20}{45}$

$= > 0.44 {ms}^{ - 2}$