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( 8c5p79) A certain force gives mass m1 an acceleration of 13.5 m/s2 and mass m2 an acceleration of 3.5 m/s2. What acceleration would the force give to an object with a mass of (m2-m1)

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opudodennis

Answer:

[tex]4.725 m/s^{2}[/tex]

Explanation:

We know that from Newton's second law of motion, F=ma hence making acceleration the subject then [tex]a=\frac {F}{m}[/tex]  where a is acceleration, F is force and m is mass

Also making mass the subject of the formula [tex]m=\frac {F}{a}[/tex]

For [tex]m1= \frac {F}{13.5}[/tex] and [tex]m2=\frac {F}{3.5}[/tex] hence [tex]F=(m2-m1)a= (\frac {F}{3.5}-\frac {F}{13.5})a=0.2116402116\\\frac {1}{a}=0.2116402116\\a=4.725 m/s^{2}[/tex]

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