A radio-controlled model airplane has a momentum given by [(0.75kgm/s3) t 2+(3.0

Question

A radio-controlled model airplane has a momentum given by [(0.75kgm/s3)t2+(3.0kgm/s)]i^+(0.25kgm/s2)tj^ , where t is in seconds.

Part A

What is the x -component of the net force on the airplane?

Express your answer in terms of the given quantities.

Fx(t) =__

Part B

What is the y -component of the net force on the airplane?

Express your answer in terms of the given quantities.

Fy(t) =__

Part C

What is the z -component of the net force on the airplane?

Express your answer in terms of the given quantities.

Fz(t) =__

Explanation / Answer

from newtons second law

the net force acting on a particle is equal to rate of change in momentum

Fnet = dP/dt

given momentum P = (-0.75 t^2 + 3 )i + 0.25 t j

Px = -0.75 t^2 + 3

Py = 0.25 t

Pz = 0

part(A)

Fx = dPx/dt

Fx = (d/dt)*(-0.75 t^2 + 3 )

Fx = -0.75*2*t + 0

Fx = -1.5t <------------answer

++++++++

part(B)

Fy = (dPy/dt)

Fy = (d/dt)*(0.25t

Fy = 0.25 <<_________answer

+++++++++++

part(C)

Fz = dPz/dt

Fz = 0 <<<----------answer

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