Calculating the Net Force on a Model Airplane

AI Thread Summary
The model airplane's momentum is expressed as [(0.25 kg . m/s^3)t^2 - (0.75 kg . m/s^2)t] in the x-direction. The x-component of the net force is calculated as Fx = 2(0.25 m/s^3)t - (0.75 m/s^2), while the y- and z-components are zero. The time at which the x-component of the net force equals zero is determined to be t = 1.5 seconds. The calculations indicate a clear understanding of the relationship between momentum and force. Overall, the solution effectively applies the principles of physics to find the required components and time.
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Homework Statement


A model airplane has a momentum given by
[(0.25 kg . m/s^3)t^2 - (0.75 kg . m/s^2)t]\hat{i}
a.) What are the x- , y- , and z- components of the net force on the airplane?
b.) At what time t is the x-component of the net force on the airplane equal to zero?

Homework Equations


\sum F = \frac{d\vec{p}} {dt}


The Attempt at a Solution


a.) i used the derivative to get :
Fx = 2(0.25m/s^3)t - (0.75m/s^2) so the x- component of net force
Fy = 0
Fz = 0
since they are the j hat and k hat where it is not given

b.) when Fx = 0;
0 = 2(0.25m/s^3)t - (0.75m/s^2)
2(0.25m/s^3)t = (0.75m/s^2)
t = 1.5s
 
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