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- A 100-N weight is attached to a free end of a metallic wire that hangs from the ceiling. When a second 100-N weight is added to the wire, it stretches 3.0 mm. The diameter and the length of the wire are 1.0 mm and2.0 m, respectively. What is Young’s modulus of the metal used to manufacture the wire?The terminal velocity of a copper ball of radius 2.0 mm falling througha tank of oil at 20 oC is 6.5 cm s-1. Compute the viscosity of the oil at 20 oC. Density of oil is 1.5 ×103 kg m-3. density of copper is 8.9 × 103 kg m-3.If the volume of liquid decreases by 0.5% for an increase of pressure from 9751987 N/m² to 251000 kN/m², calculate the bulk modulus of elasticity of the liquid. Please answer in SI unit (even temperature) with no decimals.
- In the wood industries, inclined blocks of wood are sometimes used to determine the compression-shear strength of glued joints. Consider the pair of glued blocks A and B in Figure which are 38 mm deep in a direction perpendicular to the plane of the paper. Determine the shearing ultimate strength of the glue in MPa if a vertical force of 50 kN is required to cause rupture of the joint.Estimate the radius (mm) of a spherical particle of density 1789 kg/m³ that reaches a distance of 683 km if it was ejected at a height 1200 meters from Busay to a final height 16.93 km into the atmosphere the mean wind speed through the atmospheric layer is 26.84 m/s. Viscosity and density of air are 1.923 x 10-5 kg/m-s and 1.301 kg/m³, respectively. Express your final answer in 4 decimal places.A 50 kg skier is going down a slope oriented 26 degrees above the horizontal. The area of each ski in contact with the snow is 0.14 m2. Determine the pressusre that each ski exerts on the snow.
- A cube made of an unknown material has a dimension of 6 cm on all edges. If the upper face is displaced laterally by 0.1 mm by a force of 2 x 105 dynes acting parallel to the surface, calculate the shear modulus of the material.A cube made of an unknown material has a dimension of 6 cm on all edges. If the upper face is displaced laterally by 0.1 mm by a force of 2 x 106 dynes acting parallel to the surface, calculate the shear modulus of the material.The corresponding values of the viscosity of benzene are 0.604 mPa s and 0.436 mPa s. Evaluate the activa- tion energy for viscosity.
- Q) The velocity v (m/s) of air flowingpast a flat surface is measured at severnl distances y(m) away fom the surfhce. Use Newton's viscosity law to detenmine the shear stress N/m) at the surface (y-0). dv dy Assume a value ofdynamie viscosity -1.8* 10 N.s/n? 0.002 Y, m V. m/s 0.024 4.299 0.006 0.012 0.018 0.287 0.899 | 1.915 3.048 a- Use two forward difference approximations for h-0.006. Estimate the approximate percent relative error, Use two forward difference approximations with a step size of 0.012 Ch-0.012). Estimate the approximate percent relative eror, & Apply Richardson extrapolation. Estimate the approximate percent relative error, E Use unequally spaced three data and the first-derivative of a second-order d. Langrange polynomial to evahuate the derivative (y-0) and shear stress. Estimate the approximate percent relative enor, & ) Compare the approximate estimates of the enor (e) for the formulas used.Asap plxxxxxAn 79.7 kg skier is gliding on her waxed wood skis down a hill that is at an angle of 12.0 below the horizontal. The coefficient of kinetic friction between her skis and the snow is 0.100. In her upright position, she has a cross-sectional area of A-0.700 m² and a drag coefficient of C-1.00. Assume that the density of the surrounding air is p-1.21 kg/m². Calculate the skier's steady state velocity as she glides (without actively propelling herself) down this hill, accounting for both the friction of her skis and the dragon her body due to air resistance Pse ne numercelanower below Accepted formats are unders based fic rotation ag 022 21 52 Enter answer here. m/s