A radio-controlled model airplane has a momentum given by [(0.75kgm/s3) t 2+(3.0
ID: 1398976 • Letter: A
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