An ornament of mass 36.9 g is attached to a vertical ideal spring with a force constant (spring constant) of 51.8 N/m. The ornament is then lowered very slowly until the spring stops stretching. How much does the spring stretch
Q: A tightrope walker stands on a wire that is supported by a pole at each end. The tightrope walker…
A: Given that the tension in wire is3.42×103 N, and it makes an angle of 6.2°. The young’s modulus of…
Q: Problem 7: The length of nylon rope from which a mountain climber is suspended has a force constant…
A:
Q: A 5.0 × 102 N object is hung from the end of a wire of cross-sectional area 1x10-6 cm2. The wire…
A:
Q: An 11.8-kg stone at the end of a steel (Young's modulus 2.0 x 1011 N/m2) wire is being whirled in a…
A: Calculate the force exerted on the wire. F=mv2l=11.81423.83=603.86 N
Q: A strand of dragline spider silk has a diameter of 6.0 μm, and can support a mass of 2.9 g.…
A: Required : Approximately how many copper wires would it take tosupport the same mass?
Q: A diamond rod and a tungsten rod have the same length and diameter and are subjected to the same…
A:
Q: The Young’s modulus for steel is at most 215 GPa (1 GPa= 109 N/m2). If you apply a force of 50.0…
A: Given quantities: Young's modulus of steel (Y) = 215 GPa Applied force (F) = 50 GPa initial length…
Q: A torsion pendulum is constructed of a copper rod of radius 4mm and length 0.55m is attached to the…
A: Given that a torsion pendulum consisting of a copper rod with radius 4x10-3 m and length 0.55m and a…
Q: An 9.63-kg stone at the end of a steel (Young's modulus 2.0 x 1011 N/m²) wire is being whirled in a…
A: The strain in the wire is strain=LΔL=2.43×10−4Explanation:Step 1: Given- The mass of the stone is…
Q: Humans can bite with a force of approximately 798 N. If a human tooth has the Young's modulus of…
A:
Q: A 6.9-kg bowling ball is attached to the end of a nylon (Young's modulus 3.7x10⁹ N/m²) cord with a…
A:
Q: A uniform rope of cross-sectional area 0.50 cm2 breaks when the tensile stress in it reaches 6.00 ×…
A: Given The cross-sectional area of the rope is A = 0.50 cm2 = 0.50 x 10-4 m2. The tensile stress is σ…
Q: During a walk on a rope, a tightrope walker creates a tension of 3.94 × 103 N in a wire that is…
A:
Q: The figure represents an insect caught at the midpoint of a spider-web thread. The thread breaks…
A: Given,breaking stress of the string, 9.2 ×108 N/m2strain, 2.00lengthh of the thread, L = 3.0 cmcross…
Q: A tow truck is pulling a car out of a ditch by means of a steel cable that is 9.2 m long and has a…
A: Given that,The length of the steel cable : L = 9.2 (m)The radius of the steel cable : r = 0.50…
Q: A 40 kg boy jumps from a height of 3.0 m, lands on one foot and comes to rest in 0.10 s after he…
A: Height, h =3 mmass of boy, m = 40 kgtime taken to come to rest, t = 0.10 s
Q: One end of a piano wire is wrapped around a cylindrical tuning peg and the other end is fixed in…
A:
Q: An unstretched spring is 15.00cm long. When you hang a 795g weight from it, it stretches to a length…
A: Unstretched length of spring (l) = 15 cm Mass attached (m) = 795 gramsNew length of the spring after…
Q: A 2 m long steel rod has a cross-sectional area of 0.3 cm?. The rod is a part of a vertical support…
A: The stress of the rod is given by F/A Strain is given by dL/L where F= Force…
Q: A 0.600-mm diameter wire stretches 0.500% of its length when it is stretched with a tension of 20.0…
A:
Q: An aluminum (ρ = 2.7 g/cm3) wire is suspended from the ceiling and hangs vertically. How long must…
A:
Q: The nuchal ligament in a horse supports the weight of the horse’s head. This ligament is much more…
A: Given that the resting length is 40 mm, and the strain is 0.60. Therefore, from the expression of…
Q: A mineshaft has an ore elevator hung from a single braided cable of diameter 2.5 cm. Young’s modulus…
A:
Q: A tendon is subjected to tensile forces. The cross-sectional area of the tendon is 0.0002 m2. If the…
A: See below
Q: A 5.0-kg bowling ball is attached to the end of a nylon (Young's modulus 3.7x10⁹ N/m²) cord with a…
A: Apply the energy conservation equation. PE=KEmg(h0−hf)=12mv22g(h0−hf)=v2
Q: A glass optical fiber in a communications system has a diameter of 9.0 μm. What maximum tension…
A:
Q: A biomechanical model of the bones and biceps muscles of a person's arm supporting a mass m=2 kg is…
A: Stress is a quantity that describes the magnitude of forces that cause deformation. Stress is…
Q: A particular human hair has a Young's modulus of 3.31 x 10° N/m2 and a diameter of 145 um. If a 236…
A:
Q: uniform metal bar that has mass 4.00 kg and length 2.00 m is attached to a wall at one end by a…
A: uniform metal bar that has mass 4.00 kg and length 2.00 m is attached to a wall at one end by a…
Q: When subjected to a force of compression, the length of a bone (compression Young's modulus 6.4x10…
A: Young modulus (Yc ) = 6.4 × 109 N/m2 Tensile young modulus (YT) = 1.8 × 1010 N/m2 . ∆xc = 2.5 × 10-5…
Q: The free body diagram must be included. Mechanics of materials (mechanical engineering) Stop using…
A: Step 1:Step 2: Step 3: Step 4:
Q: A man with a mass of 72.1 kg stands on one foot. His femur has a cross-sectional area of 8.00 cm2…
A: Given, M=72.1 kgg=9.81 m/s2W=Mg=72.1×9.81=707.301 NA=8.00 cm2=8×10-4 m2L=49.6 cm=0.496 mE=9.40×109…
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
- When using a pencil eraser, you exert a vertical force of 4.00 N at a distance of 2.00 cm from the hardwood-eraser joint. The pencil is 6.00 mm in diameter and is held at an angle of 12.0° to the horizontal. (Enter your answers in m.) (a) By how much does the wood flex perpendicular to its length? Xm (b) How much is it compressed lengthwise? XmA violin string has a radius of 4.1 x 10 m. During tuning, 32.5 cm of the string is placed under a tension of 83 N. If the ultimate tensile strength of the violin string is 2.4 x10° N/m2, how much total force can the string withstand before it breaks? A) 1.97 x 106 N B12 1270 N © 2.4 x 10° N D) 5070 NA student performed an experiment to examine the stress-strain properties for two elastic objects and discovered that Object 1 had a Young’s modulus of 600 MPa and Object 2’s modulus was 2300 MPa. A) Which of these objects is stiffer? B) Which of these objects stores more energy when defined by the same amount of stress?
- A solid copper cube has an edge length of 80.8 cm. How much stress must be applied to the cube to reduce the edge length to 80 cm? The bulk modulus of copper is 1.4 x 10¹¹ N/m². Number i ! Units N/m^2 or PaTwo 20 kg blocks are connected by a 2.0-m-long, 5.0-mm-diameter rope. Young's modulus for this rope is 1.5 x 109 N/m2. The rope is then hung over a pulley, so that the blocks, hanging from each side of the pulley, are in static equilibrium. By how much does the rope stretch?An 12.2-kg stone at the end of a steel (Young's modulus 2.0 x 1011 N/m2) wire is being whirled in a circle at a constant tangential speed of 17.9 m/s. The stone is moving on the surface of a frictionless horizontal table. The wire is 3.67 m long and has a radius of 4.99 x 10-3 m. Find the strain in the wire.
- A particular human hair has a Young's modulus of 3.51 x 10° N/m² and a diameter of 152 µm. If a 209 g object is suspended by the single strand of hair that is originally 19.5 cm long, by how much AL hair will the hair stretch? If the same object were hung from an aluminum wire of the same dimensions as the hair, by how much ALAI would the aluminum stretch? If the strand of hair is modeled as a spring, what is its spring constant khair? AL hair ALAI = Khair 11 6.82 x10-3 Incorrect 3.66 X10-4 Incorrect 372.6 Incorrect m m N/mIn a materials testing laboratory, a metal wire made from a new alloy is found to break when a tensile force of 90.8 N is applied perpendicular to each end. If the diameter of the wire is 1.84 mm, what is the breaking stress of the alloy?Humans can bite with a force of approximately 807 N. If a human tooth has the Young's modulus of bone, a cross-sectional area of 1.5 cm2, and is 1.8 cm long, determine the change in the tooth's length during an 8.07 ✕ 102 N bite.
- A solid copper cube has an edge length of 85.5 cm. How much stress must be applied to the cube to reduce the edge length to 85.0 cm? The bulk modulus of copper is 1.4*1011 N/m2.Many caterpillars construct cocoons from silk, one of the strongest naturally occurring materials known. Each thread is typically 2.0 µm in diameter, and the silk has a Young's modulus of 4.0 × 10⁹ N/m². Assuming that there is no appreciable space between the parallel strands, how many strands N would be needed to make a rope 8.2 m long that would stretch only 1.02 cm when supporting a pair of 91-kg mountain climbers? N = Again assuming that there is no appreciable space between the parallel strands, what would be the diameter d of the rope? strands d = cmFind the minimum diameter of a (50 m)-long nylon string that will stretch no more than (1 cm) when a load of (70 kg) is suspended from its lower end. Assume that the Young modulus equals to 3.51*10 N/m? 3.35 cm 3.53 cm 35.3 cm 33.5 cm