Question

a force produces an acceleration of 16m/s in a body of mass 0.5 kg and an acceleration of 4 m/s in another body .if both the bodies are fastened together,then how much acceleration this force will produce

Answer 1

a1= 16 m/s²
m1 = 0.5 kg

force = F = m1a1 = 16 x 0.5 = 8N

same force is applied to the second mass; m2
F = m2a2 = 8N
or 
m2 = 8/a2
m2 = 8/4 = 2kg

total mass = m1 + m2 = 0.5 + 2 = 2.5 kg
force is same as before
so,
a = F/M
= 8/ 2.5
= 3.2 m/s²

Answer 2

Answer:

3.2 m / sec²

Explanation:

Given :

Acceleration a = 16 m / sec²

Mass m = 0.5 kg

We know :

F = m a

= > F = 0.5 × 16 N

= > F = 8 N

We have acceleration of another body = 4 m / sec²

= > m' = F / a

= > m' = 8 / 4 kg

= > m' = 2 kg

When both the bodies are fastened M = m + m'

= > M = 0.5 + 2 = 2.5 kg

Now acceleration :

a' = F / M

= > a' = 8 / 2.5 m / sec²

= > a' = 3.2 m / sec²

Hence we get required answer.