Two very large open tanks A and F ( Fig. P12.83 ) contain the same liquid. A horizontal pipe BCD , having a constriction at C and open to the air at D , leads out of the bottom of tank A , and a vertical pipe E opens into the constriction at C and dips into the liquid in tank F . Assume streamline flow and no viscosity. If the cross-sectional area at C is one-half the area at D and if D is a distance h 1 below the level of the liquid in A , to what height h 2 will liquid rise in pipe E ? Express your answer in terms of h 1 .
Two very large open tanks A and F ( Fig. P12.83 ) contain the same liquid. A horizontal pipe BCD , having a constriction at C and open to the air at D , leads out of the bottom of tank A , and a vertical pipe E opens into the constriction at C and dips into the liquid in tank F . Assume streamline flow and no viscosity. If the cross-sectional area at C is one-half the area at D and if D is a distance h 1 below the level of the liquid in A , to what height h 2 will liquid rise in pipe E ? Express your answer in terms of h 1 .
Two very large open tanks A and F (Fig. P12.83) contain the same liquid. A horizontal pipe BCD, having a constriction at C and open to the air at D, leads out of the bottom of tank A, and a vertical pipe E opens into the constriction at C and dips into the liquid in tank F. Assume streamline flow and no viscosity. If the cross-sectional area at C is one-half the area at D and if D is a distance h1 below the level of the liquid in A, to what height h2 will liquid rise in pipe E? Express your answer in terms of h1.
A block of mass m₁
=
10.0 kg is connected to a block of mass m₂
34.0 kg by a massless string that passes over a light, frictionless pulley. The 34.0-kg block is connected to a spring that has negligible mass and a force constant of k = 200 N/m as shown in the figure below. The spring is
unstretched when the system is as shown in the figure, and the incline is frictionless. The 10.0-kg block is pulled a distance h = 22.0 cm down the incline of angle = 40.0° and released from rest. Find the speed of each block when the spring is again unstretched.
Vm1
×
1.32
Vm2
= 1.32
×
m/s
m/s
A block of mass m₁ = 10.0 kg is connected to a block of mass m₂ = 34.0 kg by a massless string that passes over a light, frictionless pulley. The 34.0-kg block is connected to a spring that has negligible mass and a force constant of k = 200 N/m as shown in the figure below. The spring is
unstretched when the system is as shown in the figure, and the incline is frictionless. The 10.0-kg block is pulled a distance h = 22.0 cm down the incline of angle 0 = 40.0° and released from rest. Find the speed of each block when the spring is again unstretched.
m/s
Vm1
Vm2
m/s
mi
m2
k
i
Truck suspensions often have "helper springs" that engage at high loads. One such arrangement is a leaf spring with a helper coil spring mounted on the axle, as in the figure below. The helper spring engages when the main leaf spring is compressed by distance yo, and then helps to
support any additional load. Consider a leaf spring constant of 5.45 × 105 N/m, helper spring constant of 3.60 × 105 N/m, and y = 0.500 m.
Truck body
Dyo
Axle
(a) What is the compression of the leaf spring for a load of 4.90 × 105 N?
m
(b) How much work is done compressing the springs?
]
Chapter 12 Solutions
University Physics with Modern Physics (14th Edition)
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