Question

a certain force gives an object of mass m1 and acceleration a1 and mass m2 an acceleration a2 if the same force acts on an object of mass M then the acceleration of the object is

Answer 1

Answer:

a = a1a2/(a1 + a2)

Explanation:

A certain force gives an object of mass m1 and acceleration a1 and mass m2 an acceleration a2 if the same force acts on an object of mass M then the acceleration of the object is

M = m1 + m2

F  = m1a1

F = m2a2

=> m1a1 = m2a2

=> m1 = m2a2/a1

a  = F/M

=> a = m2a2/(m1 + m2)

=> a = m2a2/(m2a2/a1  + m2)

=> a = a2/(a2/a1 + 1)

=> a = a1a2/(a2 + a1)

=> a = a1a2/(a1 + a2)