When a certain constant force acts upon an object with mass 22 kg, the acceleration of the object is 3 /ms2. If the same force acts upon another object whose mass is 33 kg, what is this object's acceleration?

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Answer:

a = 2 [m/s²]

Step-by-step explanation:

Here we need to think back to our good old friend Newton and his second law:

F = m·a

The first thing we are given is that when m = 22 [kg], a = 3 [m/s²]. With this, we can calculate F:

F = 22 · 3 = 66 [N]

Now that we have the force acting upon the two objects, we can calculate the second object's acceleration using this force:

F = m·a

⇒ a = F / m     (divide both sides by m)

⇒ a = 66 / 33 = 2 [m/s²]