Question

which would required a greater force accelerating a 2kg mass at 5m/s or a 6kg mass at 2m/s
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Answer 1

As we know By Newton's laws of motion,

F=ma

As Force is directly proportional to both acceleration and mass , and both variables are required to know the magnitude of force , This might be a bit impossible to determine

Reasons:

1. I cannot clarify if it's velocity or acceleration , if it is velocity then time is not given and final velocity is not given.

2. If there is no time given ,ok. But even if displacement is given with both initial and final velocities it would be easy.

But anyways I am GONNA ASSUME THAT ACCEERATION IS GIVEN.

So,

CASE 1

m1 = 2kg

a1 = 5 m/s²

∴ F1 = m1a1

       = 2 * 5 kg-m/s²

       = 10 kg-m/s²

       = 10 N

CASE 2

m2 = 6kg

a2 = 2 m/s²

∴ F2 = m2a2

        = 6 * 2 kg-m/s²

        = 12 kg-m/s²

         = 12 N

Hence , mass m2 will require a much greater net force .