A force of 20 N accelerates a 2 kg object. How much force is needed to give the same acceleration to a 20 kg object?

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Answer 1 · 2017-01-05T13:22:17

The force required is #"200 Newtons"#.

Use the formula

#F = ma#

to solve this problem. In the case of the #"20 N"# force, we have

#"20 N" = "2 kg" xx a#

so

#a = "10 m/s"^2 -># read this as #10# meters per second squared, or #10# meters per second every second

Applying the formula again in case of the #"20 kg"# object, we have

#F = ma#

#F = "20 kg" xx "10 m/s"^2#

#F = "200 N"#