A model airplane has momentum given by p=[(-0.75kg. m/s3)t2 + (3.0kg. m/s)] i + (0.25kg. m/s2)t j. Find the components Fx, Fy, and Fz of the net force on the airplane.

= -1.5t

= 0.25

= 0

Explanation:

Given equation;

p = [(-0.75 kgm/s³)t² + (3.0 kgm/s)] i + (0.25 kgm/s²)t j.

From Newton's law, the rate of change of momentum of a body is the net force acting on that body. i.e

∑F =       -----------(i)

Substitute the equation of p into equation (i) and differentiate with respect to t as follows;

∑F = =

∑F = =

∑F =

But

∑F =

Where;

are the components of the net force in the x, y and z direction respectively.

=> =   =

=> = -1.5t

=> = 0.25

=> = 0

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