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A block of mass of 1kg is hit by a force of magnitude 5 N which causes the block to have an acceleration of magnitude a. If the same block is hit by a force of magnitude 40 N, then which of these is the new magnitude of acceleration of the block?A) 2.8284aB) one eighth of aC) one/ 64 of aD) 8aE) 64a

Sagot :

The acceleration is related to the force and mass by Newton's second law which states:

[tex]a=\frac{F}{m}[/tex]

for the first mass we have:

[tex]a_1=\frac{5}{1}=5[/tex]

If the same block is hit by a force of 40 N then the new acceleration is:

[tex]a=\frac{40}{1}=40[/tex]

Which is eight times the original acceleration; therefore, the answer is D.

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