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?

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Solution

$F = m a = k g m s^{2}$

This unit is also called Newton. Its symbol is N.

$m_{1} = \frac{F}{a_{1}} = \frac{5}{8} k g$

$m_{2} = \frac{F}{a_{2}} = \frac{5}{24} k g$

$M = \frac{5}{8} + \frac{5}{24} k g = \frac{5}{6} k g$

Acceleration produced in M,

$a = \frac{F}{M} = \frac{5}{\frac{5}{6}} = 6 m s^{- 2}$

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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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Question 19 Derive the unit a force using the second law of motion. A force of 5 N produces an acceleration of 8 ms−2 on a mass m1 and an acceleration of 24 ms−2 on mass m2. What acceleration would the same force provide if both the masses are tired together?

F=ma=kg ms2 This unit is also called Newton. Its symbol is N. m1=Fa1=58 kg m2=Fa2=524 kg M=58+524 kg=56 kg Acceleration produced in M, a=FM=556=6 ms−2

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?