If You Stand Next To A Wall On A Frictionless Skateboard

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If You Stand Next To A Wall On A Frictionless Skateboard

and push the wall with a force of 40 N, how hard does the wall push on you? If your mass is 80 kg, what is your acceleration?
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Pushing the wall is the force of "action". The wall reacts by applying a force of 40 N to you in the opposite direction. Since you are standing on a skateboard, the force of friction is negligible. The only force (in the horizontal direction) acting on you is the 40 N force of reaction of the wall. Now we can apply the second law to calculate the acceleration. a=f/m a=40N/80kg= .5 m/s2
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