Question

aaron is using a slingshot to launch stones into a lake.
the stones have the same acceleration as aaron launches them. order the colors of the stones to show the size of the force aaron applies to launch each stone.

Explanation:

Step1: Recall Newton's second law

Newton's second law is \(F = ma\) (where \(F\) is force, \(m\) is mass, and \(a\) is acceleration). Since the acceleration \(a\) is the same for all stones, the force \(F\) is directly proportional to the mass \(m\) (\(F\propto m\) when \(a\) is constant).

Step2: Compare the masses

We have the masses: black (\(m_{black}=4g\)), brown (\(m_{brown} = 10g\)), gray (\(m_{gray}=5g\)), speckled (\(m_{speckled}=9g\)), white (\(m_{white}=1g\)).
When we order the masses from largest to smallest: \(m_{brown}>m_{speckled}>m_{gray}>m_{black}>m_{white}\)

Answer:

brown, speckled, gray, black, white