A force of 5 N produces an acceleration of 8 m $s^{- 2}$ on a mass $m_{1}$ and an acceleration of 24 m $s^{- 2}$ on mass $m_{2}$ . What acceleration would the same force provide if both the masses are tied together?

24 ms^-2

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8 ms^-2

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6 ms^-2

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5 ms^-2

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Solution

The correct option is C
6 ms^-2

We know, F = ma
So, $m_{1} = \frac{F}{a_{1}} = \frac{5}{8} k g m_{2} = \frac{F}{a_{2}} = \frac{5}{24} k g$
$T o t a l m a s s = m_{1} + m_{2} M = \frac{5}{8} k g + \frac{5}{24} k g = \frac{5}{6} k g A c c e l e r a t i o n p r o d u c e d i n M, a = \frac{F}{M} = \frac{5}{\frac{5}{6}} = 6 m s^{- 2}$

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Similar questions

Q. A force of 5 N produces an acceleration of

8 m s^{- 2}

on a mass

m_{1}

and an acceleration of

24 m s^{- 2}

on a mass

m_{2}

. What acceleration would the same force provide if both the masses are tied together?

Q. Question 19
Derive the unit a force using the second law of motion. A force of 5 N produces an acceleration of

8 m s^{- 2}

on a mass

m_{1}

and an acceleration of

24 m s^{- 2}

on mass

m_{2}

. What acceleration would the same force provide if both the masses are tired together?

A force of 5N gives a mass m₁an acceleration of 8 m/s²,and a mass $m_{2}$ an acceleration of 24 $m / s^{2}$ . What acceleration would it give if both the masse's are tied together.

Please explain step by step.

A force of 5 N gives a mass $m_{1}$ an acceleration of 8 $m s^{- 2}$ and a mass $m_{2}$ an acceleration of 24 $m s^{- 2}$ . What acceleration would it give if both the masses are tied together?

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A force of 5 N produces an acceleration of 8 m s−2 on a mass m1 and an acceleration of 24 m s−2 on mass m2. What acceleration would the same force provide if both the masses are tied together?

The correct option is C 6 ms-2 We know, F = ma So, m1=Fa1=58kgm2=Fa2=524kg Totalmass=m1+m2M=58kg+524kg=56kgAccelerationproducedinM,a=FM=556=6ms−2

A force of 5 N produces an acceleration of 8 m $s^{- 2}$ on a mass $m_{1}$ and an acceleration of 24 m $s^{- 2}$ on mass $m_{2}$ . What acceleration would the same force provide if both the masses are tied together?