Question

when a constant force is applied to an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object with a mass 12 kg, the acceleration of the object is 6 m/s. If the same force acts on another object whose mass is 9kg, what is the objects acceleration

Answer 1

8 m/s²

Step-by-step explanation:

From the question,

Since the same force act on both object,

F = ma = m'a'.............................. Equation 1

Where F = force action on the obeject, m = mass of the first object, a = acceleration of the first object, m' = mass of the second object, a' = acceleration of the second object.

make a' the subject of the equation

a' = ma/m'................... Equation 2

Given: m = 12 kg, a = 6 m/s², m' = 9 kg.

Substitute these values into equation 2

a' = 12(6)/9

a' = 8 m/s².

Hence the acceleration of the second object is 8 m/s²