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Spring Force

Which would r...

Question

Which would require a greater force – accelerating a 2 kg mass at $5$ $m / s^{2}$ or a 4 kg mass at $2$ $m / s^{2}$ ?

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Solution

We know, F = ma.
Given,
$m_{1}$ = 2 kg; $a_{1}$ = $5$ $m / s^{2}$ and
$m_{2}$ = 4 kg; $a_{2}$ = $2$ $m / s^{2}$
Thus, $F_{1}$ = $m_{1}$ $a_{1}$ = 2 kg × $5$ $m / s^{2}$ = 10 N; and
$F_{2}$ = $m_{2}$ $a_{2}$ = 4 kg × $2$ $m / s^{2}$ = 8 N.
⇒ F1 > F2 .
Thus, accelerating a 2 kg mass at $5$ $m / s^{2}$ would require a greater force

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