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In order that the conveyor belt remain at constant velocity, the driving tension force must be equal and opposite to the friction force it delivers to the sand.
T = m_dot*v
D) W_dot = T*v
W = m_dot*v^2*t
E) KEi = roughly zero. KE_f = 1/2*m_dot*t*v^2
Thus:
deltaKE = 1/2*m_dot*t*v^2
Data:
m_dot:=5.10 kg/s; v:=0.600 m/s; t:=1 sec;
Results:
A) p_dot = 3.06 Newtons, rightward
B) F = 3.06 Newtons, rightward
C) T = 3.06 Newtons, rightward
D) W = 1.836 Joules
E) deltaKE = 0.918 Joules
F) Because the sand and the conveyor belt have an inelastic collision based on kinetic friction. This is dissipating heat.
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