A solid copper object hangs at the bottom of a steel wire of negligible mass. The top end of the wire is fixed. When the wire is struck, it emits a sound with a fundamental frequency of 746 Hz. The copper object is then submerged in water so that half its volume is below the water line. Determine the new fundamental frequency. Hz
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- The lower section of a constricted pipe has a diameter of 8 cm. The upper section of the pipe, located 0.1 m above the lower section, has a diameter of 3 cm. The pressure at the lower section is 2.1 ×× 104 Pa, while the pressure in the upper section is 1 ×× 104 Pa. Assuming water moves through the pipe in a steady flow, calculate the speed (in m s-1) of the flow in the lower section. The density of water is 1000 kg m-3.V A solid brass (bulk modulus 6.7 x 1010 N/m²) sphere is subjected to a pressure of 1.0 x 105 Pa due to the earth's atmosphere. On Venus the pressure due to the atmosphere is 9.0 x 106 Pa. By what fraction Ar/ro (including the algebraic sign) does the radius of the sphere change when it is exposed to the Venusian atmosphere? Assume that the change in radius is very small relative to the initial radius. Number i UnitsQ.2. When an oblique shock strikes a solid wall, it reflects as a shock of sufficient strength to cause the exit flow M3 to be parallel to the wall, as in the figure. For airflow with M1 = 2.5 and p1 = 100 kPa, compute M3, p3 and the angle Ø. M2 M, = 2.5 M3 40°
- ² A cylinder is fitted with a piston, beneath which is a spring, as in the drawing. The cylinder is open to the air at the top. Friction is absent. The spring constant of the spring is 4900 N/m. The piston has a negligible mass and a radius of 0.034 m. (a) When the air beneath the piston is completely pumped out, how much does the atmospheric pressure cause the spring to compress? (b) How much work does the atmospheric pressure do in compressing the spring? (a) Numberi (b) Number i Units Units1. (a) Derive an alternative set of SI units for pressure that is equivalent to N/m ². (b) The figure below shows the displacement s versus time t graph for an object moving along a straight line. s (m) 3 A 10 4 N 15 (i) Discuss the motion of the object. (ii) Estimate the displacement of the object in 10 s. (iii) Sketch the velocity versus time graph for the motion of the object. (b) The figure below shows the displacement s versus time t graph for an object moving along a straight line. 2 A 10 s (m) -1 -2 15 t(s) (i) Discuss the motion of the object. (ii) Estimate the displacement of the object in 10 s. (iii) Sketch the velocity versus time graph for the motion of the object.7: A pipe of constant diameter flowing water (of density pw) horizontally at height h = ho meters has an original pressure Po. The pipe now encounters a segment where it rises to a height of h hị meters. What is the new pressure Pi in the elevated segment of the pipe? A) Pi = Po B) P1 = Po – (1/2)(pw)(vr)² C) P1 = Po+ (1/2)(pw)(g)(ho + hi) D) P1 = Po – (pw)(g)(hı – ho) 8: A 10-kg piece of aluminum sits at the bottom of a lake, right next to a 10-kg piece of lead, which is much denser than aluminum. Which one has the greater buoyant force on it? A) the lead B) the aluminum C) Both have the same buoyant force. D) It cannot be determined without knowing their volumes.
- A helium-filled balloon, whose envelope has a mass of 0.25 kg, is tied to a 2.0-m-long, 0.050-kg string. The balloon is spherical with a radius of 0.40 m. When released, it lifts a length h of the string and then remains in equilibrium. Hint: Only that part of the string above the floor contributes to the load being supported by the balloon. d. If the density of air is ρ_{air}=1.29 kg/m^3 and the density of Helium is ρ_{He}=0.179 kg/m^3, find h.A concrete dam retaining 6 m of water is shown in the figure. The unit weight of the concrete is 23.5 kN/m3. The foundation soil is impermeable. Determine (a) the factor of safety against sliding, (b) the factor of safety against overturning, and (c) the pressure intensity on the base of the dam. The coefficient of friction between the base of the dam and the foundation soil is 0.48.3 / 6 | 100% + | @ 2. A glass tube is bent into the shape shown, and filled with water. The right end of the tube is open to the air, but the left end of the tube is sealed. What is the pressure P₁ of the gas inside the sealed left end? (Note: the answer is not Patm.) BJ 0.5m 0.4m 0.3m 0.2m 0.1m Om PL ..... S ...
- A liquid with a density of 1.65 g/cm3 flows from left to right in the pipe, from larger to smaller cross section. The left side's cross-sectional area is 10.0 cm2, and while in this side, the speed of the liquid is 2.62 m/s, and the pressure is 1.20 ✕ 105 Pa. The right side's cross sectional-area is 3.00 cm2. What is the velocity and and pressure?A typical house is fed water from a water tower. If the surface of the water in the water tower is 41 m above the house, what is the speed of water as it exits the kitchen faucet? Both the faucet and water tower are open to the air, and you may assume the surface of the water moves very slowly in the tower. (in m/s) 34.8 28.3 24.5 31.7 804The lower section of a constricted pipe has a diameter of 8 cm. The upper section of the pipe, located 0.1 m above the lower section, has a diameter of 3 cm. The pressure at the lower section is 2.1 ×× 104 Pa, while the pressure in the upper section is 1 ×× 104 Pa. Assuming water moves through the pipe in a steady flow, calculate the speed (in m s-1) of the flow in the lower section. The density of water is 1000 kg m-3