The amount of force, \( F \), needed to lift an object using a lever varies inversely as the length, \( l \), of the lever. When a 24 -inch lever is used, a force of 240 pounds is needed. How much force is needed if a 36 -inch long lever is used? A. 120 pounds B. 160 pounds C. 252 pounds D. 360 pounds

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 \( +E[0,1] \)

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 \( \pi=3.14 \) )

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

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