Question

A force produces acceleration of 16m/s2 in a body of mass 0.5 kg,and an acceleration of 4 m/s2 in another body.If the bodies are fastened together,then by how much acceleration will be produced by this force?

Answer 1

Acceleration in first body = 16 m/s2
Mass of the first body. = 0.5 kg

Force = Mass * Acceleration

Force = 0.5* 16 = 8 N

now in the second body,
Acceleration produced = 4 m/s2
Mass = Force/Acceleration
= 8/4= 2kg mass

Now when combined,

Total Mass = 0.5+2 = 2.5kgs

Acceleration produced = Force/ mass
= 8/2.5
= 3.2 m/s^2.


Hope this helps.