- #1
Simply Is
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Homework Statement
3.0 kg object is moving in plane with x and y coordinates given by x=5t^2-1 and y=3t^2-2 where x and y are meters and t is seconds. Find magnitued of net force acting on object at t=2 seconds.
Homework Equations
(vectors above the letters where they normally go)
F=ma
a = ax + ay
The Attempt at a Solution
Taking the 2 equations, and differentiating to get the velocities functions, then again to get the acceleration functions I get (the i and j are "hats"):
Vx = 10t i and ax = 10 i
Vy = 6t i and ay = 6 j
a = ax + ay and magnitude a = sqrt (ax^2 + ay^2) = sqrt (10^2 + 6^2) = sqrt (136) = 11.66 m/s^2
Then inserting into F=ma:
F = (3.0 kg)(11.66 m/s^2)
F = 34.98 N
And I can just ignore the "2 seconds" because the same constant force is acting? Or do I need to multiply that force by 2?
Thank you for any guidance.