You have landed on an unknown planet, Newtonia, and want to know what objects will weigh there. You find that when a certain tool is pushed on a frictionless horizontal surface by a 12.4 {rm N} force, it moves 17.0 {rm m} in the first 2.40 {rm s}, starting from rest. You next observe that if you release this tool from rest at 11.0 {rm m} above the ground, it takes 2.78 {rm s} to reach the ground.
Interesting discussion!
ok – f=ma so m=f/a also a=2*d/t^2 (d is distance, a acceleration, t time, f force and m mass)
34/2.4/2.4 = a so m = 12.4*2.4^2/34 , about 2.1 kg so on earth it would weigh about 20.6 N
Newtonia surface acceleration ( where you are ) is 22/2.78^2 m/s or about 2.85 m/s and the tool would weigh 2.1*2.85 (about 6) N there.
a = 2*17.0/2.40^2 ≈ 5.90277778 m/s^2
m = (12.4 N)/(5.90277778 m/s^2) ≈ 2.100706 kg
g = 2*11/2.78^2 ≈ 2.846644 m/s^2
Wn ≈ (2.100706 kg)(2.846644 m/s^2)
Wn ≈ 5.979961 N ≈ 5.98 N
We ≈ (2.100706 kg)(9.80665 m/s^2)
We ≈ 20.60089 N ≈ 20.6 N
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