Question

Suppose that a constant force is applied to an object. Newton's Second Law of Motion states that the acceleration of the object varies inversely with its mass. A constant force acting upon an object with mass 8kg produces an acceleration of 7m/s (squared) . The acceleration of another object produced by the same force is 4m/s(squared) . What is the mass of this object? ...?

Answer 1

Newton's Second Law of Motion states, “The force acting on an object is equal to the mass of that object times its acceleration.” For both system, force is equal so that we can calculate as follows:

F1 = F2
m1a1 = m2a2
8 (7) = (m2) (4)
m2 = 14 kg

Hope this answers the question. Have a nice day.