A classical mechanics problem by Vishal S

Classical Mechanics Level 1

A force produces an acceleration of a 1 a_1 in a body and the same force produces an acceleration of a 2 a_2 in another body.If the two bodies are combined and the same force is applied on the combination, the acceleration produced in it is:

a 1 a 2 \sqrt{a_1 a_2} a 1 a 2 a 1 + a 2 \frac{a_1 a_2}{a_1+a_2} a 1 + a 2 a 1 a 2 \frac{a_1 + a_2}{a_1 a_2} a 1 + a 2 a_1+ a_2

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Vishal S by Vishal S , 21, India

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1 solution

Dawar Husain
Dec 22, 2014

F = m 1 a 1 ⟹ m 1 = F a 1 F=m_1a_1 \ \implies m_1=\dfrac{F}{a_1}

F = m 2 a 2 ⟹ m 2 = F a 2 F=m_2a_2 \ \implies m_2=\dfrac{F}{a_2}

F = ( F a 1 + F a 2 ) × a 3 F=\left( \dfrac{F}{a_1}+\dfrac{F}{a_2}\right) \times a_3

a 3 = a 1 a 2 a 2 F + a 1 F × F = a 1 a 2 a 2 + a 1 a_3=\dfrac{a_1a_2}{a_2F+a_1F}\times F = \dfrac{a_1a_2}{a_2+a_1}

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Yes your correct.Good

Vishal S - 6 years, 5 months ago

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