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If a certain force accelerates an object of mass 23 Kg at 57 m/s/s, what acceleration in m/s/s would the same force produce on another object of mass 23? Enter answer to at least one decimal place to the right of the decimal point.

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aachen

Explanation:

Given that,

Mass of the object, m₁ = 23 kg

Acceleration of this object, a₁ = 57 m/s/s

Mass of another object, m₂ = 23 kg

We need to find the acceleration of another object. It can be calculated using second law of motion as :

[tex]F=ma[/tex]

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

Here, F is same. So,

[tex]\dfrac{a_1}{a_2}=\dfrac{m_2}{m_1}[/tex]

[tex]a_2=\dfrac{a_1m_1}{m_2}[/tex]

[tex]a_2=\dfrac{57\times 23}{23}[/tex]

[tex]a_2=57\ m/s/s[/tex]

So, another object will create same acceleration as 57 m/s/s. Hence, this is the required solution.

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