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How hard would you have to push a 50 kg skater to increase her speed by 2 m sec sec?
Any force in the direction she's moving will cause her speed to increase.
The more force you use, the faster her speed will increase.
If you want to increase her speed by 2 m per sec in one second, then you want her
acceleration to be (change in speed)/(time for the change) = 2/1 = 2 m/sec2 .
F = M A = (50) (2) = 100 newtons
If you want to increase her speed by 2 m per sec in 0.1 second, then you want her
acceleration to be (change in speed)/(time for the change) = 2/0.1 = 20 m/sec2 .
F = M A = (50) (20) = 1,000 newtons.
If you want to increase her speed by 2 m per sec in 1 minute, then you want her
acceleration to be (change in speed)/(time for the change) = 2/60 .
F = M A = (50) (2/60) = 1.667 newtons.
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