Which would require a greater force – accelerating a 2 kg mass at 5m/s2 or a 4 kg mass at 2m/s2 ?
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Solution
We know, F = ma.
Given, m1 = 2 kg; a1 = 5m/s2 and m2 = 4 kg; a2 = 2m/s2
Thus, F1 = m1a1 = 2 kg × 5m/s2 = 10 N; and F2 = m2a2= 4 kg × 2m/s2 = 8 N.
⇒ F1 > F2 .
Thus, accelerating a 2 kg mass at 5m/s2 would require a greater force