- #1
Andrew100
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Homework Statement
I want to be able to calculate how far a ball has traveled when rolled along a flat surface at each second.
Lets say the values are 2kg for ball, the force is 100N and co-efficient of friction is 0.2.
Homework Equations
F(n) = -mg
a = f/m
The Attempt at a Solution
I need to find Normal Force (Fn) which is
F(n) = -mg = -(2 kg) * (-9.8 m/s^2) = 19.6 N
I can now use
a = f/m
a = F - (mu)F(n) / m = 100 - ((0.2)(19.6) = 3.92 N / 2 = 1.96 m/s) = 98.04 m/s
So, after 1 second, ball has traveled 96.08 metres (98.04 - 1.96)
2 seconds = 194.12 (98.04 + (98.04 - 1.96))
Is this correct?