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- Evaluate the dimensionless groups hcD/k,UD/, and cp/k for water, n-butyl alcohol, mercury, hydrogen, air, and saturated steam at a temperature of 100C. Let D=1m,U=1m/sec, and hc=1W/m2K.The diameter of ball which is suspended by a rope in atmosphere is 10cm , what is the tension in the rope if the density of ball is 2000kg/m3 10.2 N 13.6 kN 56.4 N 40.5 kNTwo spheres, one heavier and weighing12000 N and of diameter 1.2 m and the other lighter and weighing 4000 N, are tied with a rope and placed in seawater. The density of sea water is 1025 kg/m^3. It was found that the spheres floated vertically with the lighter sphere just under the water surface. Illustrate the problem before answering the following questions: (a) Determine the diameter of the lighter sphere in meters. (b) Determine the tension in the rope in Newtons. Please answer this with diagram PLEASE. ASAP po.
- Janice is grilling a steak for her July 4th barbecue dinner. The steak initially weighs 300 grams and is 25 mm thick. After grilling it for a while, she considers the steak done, and measures it again: it now weighs 215 grams, and is 15 mm thick. For both the cooked and uncooked steak, she uses the thumb-test to determine the done-ness, i.e. she uses her thumb (area ~5cm2) to push down with a force of 5 N. The uncooked steak compresses by 7 mm, and the cooked steak by 2 mm. Calculating elasticity What is the elasticity of the raw steak? Express your answer in Pascals but without including the units in your answer. What is the elasticity of the cooked steak? Express your answer in Pascals, but without including the units.To get up on the roof, a person (mass 85.0 kg) places a 6.20 m aluminum ladder (mass 15.0 kg) against the house on a concrete pad with the base of the ladder 2.00 m from the house. The top of the ladder rests against a plastic rain gutter, which we can assume to be frictionless. The center of mass of the ladder is 2.00 m from the base, as measured along the ladder. The person is standing on the ladder 3.00 m from the base, as measured along the ladder. Find the normal reaction and friction forces (in N) on the ladder at its base. (Enter the magnitudes.)The concrete graviy" dam is heid in place by its awn weight (Egute.1) The density of concrote is pc=2.5Mg/m2 and water has a density of ρw=1.0Mg/m3. Suppose that a=1⋅m ,h=8 m Figure Part A Determinn the setillest dimension d that will prevent the dam hom overturning about is end A. Express your answer to three significant figures and include the appropriate units: d=_______
- Mountaineersoften use a rope to lower themselvesdown the face of a cliff (this is called rappelling).They do this with their body nearly horizontaland their feet pushing against the cliff. Suppose that an 82.0 kg climber,who is 1.90 m tall and has a center of gravity1.1 m from his feet, rappels down a verticalcliff with his body raised 35.0° above the horizontal.He holds the rope 1.40 m from his feet,and it makes a 25.0° angle with the cliff face.(a) What tension does his rope need to support?(b) Find the horizontal and vertical componentsof the force that the cliff face exerts on theclimber’s feet. (c) What minimum coefficientof static friction is needed to prevent the climber’sfeet from slipping on the cliff face if he hasone foot at a time against the cliff?5. Gravity is given by g = 9.81 - 3.32 X 10^-6 h m/s^2, where h is the height above sea level. An airplane is travelling at 900 km/h at an elevation of 10 km. If its weight at sea level is 40 kN, determine (a) its kinetic energy and (b) its potential energy relative to sea level. Derive with the formula below, show the cancellation, explain the step by step and draw a free body diagram/figure. refer with this: PE1 + KE1 + U1 + WF1 + Q1 + W1 = PE2 + KE2 + U2 + WF2 + Q2 + W2 + E losses.A vessel cylindrical in shape and closed at the top and bottom is 200 mm in diameter and 0.15 m in height. The vessel is completely filled with water. If it is rotated about its vertical axis with a speed of 200 r.p.m., what is the total pressure force (in N) exerted by water at bottom of the vessel? CHOICES: a.7.09 b.10.35 c.80.6 d.34.4
- A 1.0 m3 object is hovering in water, where the specific weight of water is γw=9.81kN/m3. If the object is put into mercury where the specific gravity of mercury is sgm=13.54, then what is the buoyant force in mercury?_______ A. 9.81kN B. 132.83 kN C. It cannot be decidedIf a scuba diver descends too quickly into the sea, the internal pressure on each eardrum remains at atmospheric pressure, while the external pressure increases due to the increased water depth. At sufficient depths, the difference between the external and internal pressures can rupture an eardrum. Eardrums can rupture when the pressure difference is as little as 35 kPa. What is the depth at which this pressure difference could occur? The density of seawater is 1025 kg/m3. 1)sketch (include everything in the system) 2)solution(step by step)A 100 × 50 × 25mm steel block is subjected to a hydrostatic pressure of 5 MPa. The Young's modulus and Poisson's ratio of the material are 150GPa nd 0.2 respectively. The change in the volume of the block in mm³ is