Question

When a constant force acts upon an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object with mass 3 kg, the acceleration of the object is 10 /ms2. If the same force acts upon another object whose mass is 2 kg, what is this object's acceleration?

Answer 1

Step-by-step explanation

From the question, we can see that the acceleration of the object varies inversely with the mass when a certain constant force acts on the object. We can express this as;

`a=(f)/(m)`

Therefore, when the mass is 3kg, the acceleration of the object is 10 /ms2.

`\begin{gathered} 10=(f)/(3) \\ f=10*3 \\ f=30ms^(-2) \end{gathered}`

Therefore, if the same force acts upon another object whose mass is 2 kg, the object's acceleration becomes.

`\begin{gathered} a=(30)/(2) \\ a=15ms^(-2) \end{gathered}`

Answer: 15 meters per seconds square.