Answer :
The ratio m1/m2 of the masses of two objects acted upon by the same force but producing different accelerations can be calculated using Newton's second law and is found to be approximately 0.3947.
To determine the ratio of m1 / m2, we can use Newton's second law, which states that the force F on an object is equal to its mass m multiplied by its acceleration a (F = ma).
For the first object, the equation is F = m1a1 and for the second object, the equation is F = m2a2. Since the force applied is the same for both, we can equate the two expressions and find the ratio of the masses.
So, m1a1 = m2a2.
Given that a1 = 3.8 m/s2 and a2 = 1.5 m/s2, we find:
m1 / m2 = a2 / a1
m1 / m2 = 1.5 / 3.8
m1 / m2 = 0.3947
The ratio of m1 to m2 is approximately 0.3947.
