5.0 kg block has an acceleration of 0.20 m/s2 when a force is exerted on it. A second block has an acceleration of 0.10 m/s2 when the same force acts on it. Determine the mass of the second block.

1 answer
Question:

5.0 kg block has an acceleration of 0.20 m/s2 when a force is exerted on it. A second block has an
acceleration of 0.10 m/s2 when the same force acts on it. Determine the mass of the second block.

Answers

Answer:10 kgExplanation:First you need to find the Force from the first sectionF = M x AF = 5.0 kg x 0.20 m/s²F = 1  NNow you can use the same Force to find the Mass in the second section.F = M x A  or rearranged,  F / A = M1 N / 0.10 m/s²  = 10 kgIf you look at the question, the Acceleration in the last section is half of what it is in the first section.  The F=MxA equation means that if the Force remains the same, if A decreasing, then M must increase.  If M decreases, then A will increase.  It makes sense if you think in physical terms.If you push on a huge rock, you can move it 1 foot.  Now if the mass of that rock were cut in half, you should be able to move it twice as far pushing just as hard as you did on the huge rock.

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