A force of 10 N produces an acceleration of 5 m/s2 when it acts on one body and 2 m/s2 when it acts on another body. If two bodies are tied together and the same force is applied, what will be the acceleration produced?
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A force of 10 Newtons produces an acceleration of 5 m/s^2 on the first body hence the mass of the first body is 2 kg ( by using the equation force = mas * acceleration )
The force of same magnitude acts on the another body and produces the acceleration of 2 m/s^2 , hence the mass of the body is 5 kg .
When these two bodies of mass 2 kg and 5 kg are placed together the total mass will be 7 kg . We have to find the acceleration of these two bodies when a force of 10 N is applied on them.
Hence by using the Newtons equation F = m*a , we get 10 = 7*a
therefore the acceleration of the two bodies together is a = 10/7 m/s^2 i.e 1.42 m/s^2.
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