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A force F S applied to an object of mass m1 produces an acceleration of 3.00 m/s2. The same force applied to a second object of mass m2 produces an acceleration of 1.00 m/s2. (a) What is the value of the ratio m1/m2? (b) If m1 and m2 are combined into one object, find its acceleration under the action of the force F S .

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Blacklash

Answer:

a) [tex]\frac{m_1}{m_2}=\frac{1}{3}[/tex]

b) Acceleration = 0.75 m/s²

Explanation:

a) We have force , F = mass x acceleration.

[tex]\texttt{Value of force}=F_s[/tex]

[tex]\texttt{Acceleration of }m_1=3m/s^2\\\\\texttt{Acceleration of }m_2=1m/s^2[/tex]

We have force value is same

       [tex]m_1\times 3=m_2\times 1\\\\\frac{m_1}{m_2}=\frac{1}{3}[/tex]

b) We have

         [tex]m_1\times 3=m_2\times 1\\\\m_2=3m_1[/tex]

Combined mass

       [tex]m=m_1+m_2=m_1+3m_1=4m_1[/tex]

Force

         [tex]F_s=4m_1\times a\\\\a=\frac{F_s}{4m_1}=\frac{1}{4}\times \frac{F_s}{m_1}=\frac{1}{4}\times 3=0.75m/s^2[/tex]

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