Question

A force of 5n gives a mass m1,an acceleration of 10ms-2. What acceleration would it give if both the masses were tied

Answer 1

Explanation:

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Answer 2

$\huge \bf\mathfrak{\underline{Question}}$

A force of 5n gives a mass m1,an acceleration of 10m/s² and a mass of acceleration

20 m/s² .What acceleration would it give if both the masses were tied

$\huge \mathfrak{Solution}$

now ..from the second law of motion we know that

$\huge \implies \huge \boxed{F= ma}$

now if a force of 5 N is acted upon a body(m1) and gives an acceleration of 10 m/s²

therefore...

$\large \implies m_1 = \frac{F}{a} = \frac{5}{10} \: kg = 0.5 \: kg$

again ,,,

if a force of 5 N is acted upon a body(m2) and gives an acceleration of 20 m/s²

therefore...

$\large \implies m_2 = \frac{F}{a} = \frac{5}{20} \: kg = 0.25 \: kg$

now when two bodies(m1 and m2) are tied

then the total mass of the system will be

$\large \implies m=m_1 + m_2\\\large \implies m=(0.5+025)\:kg=0.75\:kg$

therefore the acceleration of the tied system is

$\large \implies a = \frac{f}{m} \\ \large \implies a = \frac{5}{0.75} \: m.s {}^{ - 2} \\ \large \implies a = 6.67 \: m.s {}^{ - 2} \\ \\ \large \implies \large \boxed{a = 6.67 \: m.s {}^{ - 2} }$

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