Encuentre el trabajo realizado cuando una particula se mueve en el campo de fuerzas \( F=3 x^{2} ;+(2 x z-y) j+z k \) a lo largo \( c \) de la cuna en el espacio \( x=2 t^{2} \quad y=t \quad z=4 t^{2} \), wando \( +E[0,1] \)

Water flows through a tube of diameter 2 cm at an average speed of \( 3 \mathrm{~m} / \mathrm{s} \). The end of the tube is closed with a plug with ten holes, each with a radius of 1 mm , calculate the speed of the water flowing from each hole

Encuentre el trabajo realizado cuando una particula se mueve en el campo de fuerzas \( F=3 x^{2} i+(2 x z-y) j+z k \) a lo bigo \( C \) de la curva en el espacio \( x=2 t^{2} \quad y=t \quad z=4 t^{2} \), cuando \( +E[0,1] \)

\( \begin{array}{ll}3.33 \text { • Uma canoa tem velocidade de } 0,40 \mathrm{~m} / \mathrm{s} \text { a sudeste em } & \text { Pa } \\ \text { relação à Terra. A canoa se desloca em um rio que escoa a } \\ 0,50 \mathrm{~m} / \mathrm{s} \text { para leste em relação à Terra. Determine o módulo, } \\ \text { a direcão e o sentido da velocidade da canoa em relacão ao rio. }\end{array} \)

5) A liquid flows in a tube with a cross-sectional area of \( 0.0002 \mathrm{~m}^{2} \) at a speed of \( 4 \mathrm{~m} / \mathrm{s} \). Calculate: (a) The volume flow rate of the liquid. (b) The speed of flow if the radius of the tube is doubled.

Gasoline flows in a tube with a diameter of 2 cm at a speed of \( 5 \mathrm{~m} / \mathrm{s} \). Calculate: (a) The amount of gasoline flowing per minute. (b) The time required for a tank with a capacity of \( 20 \mathrm{~m}^{3} \) to be filled with gasoli (knowing that \( \pi=3.14 \) )