You need to make a spring scale to measure the mass of objects hung from it. You want each 1.0 cm length along the scale to correspond to a mass difference of 0.10 kg. What should be the value of the spring constant?

Q: A 61 cm long copper wire is clamped at one end and a stone weighing 2.2 kg is attached to the other…

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Q: Which of the following is a true statement regarding springs? In Hooke's Law, the force exerted by…

A: (1) statement is incorrect According to hook's law  F α -x That is direction is opposite direction…

Q: The force constant of a spring is 141 N/m. (a) Find the magnitude of the force required to compress…

A: (a) solution- Given that,  force constant of a spring (k) = 141 N/m. Compression (x)= 4.95 cm =…

Q: The elastic limit of an alloy is 7.0 x 10% N/m². What is the minimum radius rmin of a 4.0 m long…

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Q: 4. Consider the following arrangement - String 1 String 2 consisting of two pulleys, two strings…

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Q: A spring is stretched by a 100-N force. The displacement of the end of the spring increases 5.0.cm…

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Q: Find the force required to stretch a 1.0 m steel wire of diameter 3.2 mm by 10.0 mm. Given the…

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Q: Find the minimum diameter of a (50 m)-long nylon string that will stretch no more than (1 cm) when a…

A: Given : L = 50 m ∆L = 1 cm = 0.01 m m = 70 kg Y = 3.51 x 109 N/m2

Q: After a fall, a 85 kg rock climber finds himself dangling from the end of a rope that had been 18 m…

A: Given Data Mass of the rock climber is m=85 kg Length of the rope is l=18 m Diameter of the rope is…

Q: Jasper hung al./kg wind chime on his balcony. What is the tension on the string he used to hang the…

A: Given, jasper hung a 1.7 wind chime on his balcony, i.e. mass of wind chime M =1.7 kgwe have to…

Q: The “lead” in pencils is a graphite composition with Young’s modulus of approximately 1.0×109 N/m2.…

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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: image86

A: The free body diagram of the system is given below:…

Q: A (2 m)-long steel wire in a musical instrument has a radius of (0.3 mm). When the wire is under a…

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Q: The weight of the crate is 50 kg and the spring constant is 200 N/m in DB. Use g= 9.81 m/s2. What is…

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Q: Ex : What is the spring constant of a human femur under compression the linear limit of the femur…

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Q: A 686 kg load is hung on a wire of length 9 m, cross-sectional area 0.200 x 10 m, and Young's…

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Q: A steel wire 2.5 mm in diameter stretches by 0.038 % when a mass is suspended from it. The elastic…

A: streched wire, ∆x=0.038% of l0 ∆x=0.038100=3.8*10-4  l0

Q: When a tension is applied to an aluminum wire it stretches 0.1 m. The initial length of the wire is…

A: The solution can be given as follows :-

Q: A spring has a length of 0.210 m when a 0.300 kg mass hangs from it, and a length of 0.750 m when a…

A: Given:   The length of the spring is 0.210 m when 0.300 kg mass is hangs from it. The length of the…

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…

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Q: After a fall, a 110 kg rock climber finds himself dangling from the end of a rope that had been 15 m…

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Q: A 8.00 kg object hangs in equilibrium from a string with a total length of L = 5.60 m and a linear…

A: a. Consider the free body diagram shown below.

Q: A fisher caught a fish 5.0 kg striped bass and the fishing line is 0.55mm in diameter.  When the…

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Q: The elastic limit of an alloy is 5.0×108 N/m2. What is the minimum radius ?min of a 9.0 m long wire…

A: ...

Q: A meterstick (L = 1 m) has a mass of m = 0.155 kg. Initially it hangs from two short strings: one at…

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Q: Young's modulus of iron rod is 21 x 1010 N/m². A force of 7.0 × 105 N is applied to a 1.5-m length…

A: Youngs modulus = stressstrain=F/A∆L/L

Q: steel wire 2.0 mm in diameter stretches by 0.029 % when a mass is suspended from it. The elastic…

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Q: In resonance condition the frequency of applied force : (a) is less than the natural frequency of…

A: Resonance happens when there is a maximum energy transfer from external forcing system to the…

Q: 40. A body of weight 20 N is suspended from a fixed point O by a light elastic string of natural…

A: The tension produced in the string or spring is directly proportional to the extension as

Q: Find the minimum diameter of a (50 m)-long nylon string that will stretch no more than (1 cm) when a…

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Q: A wire is stretched 3 mm by force of 150 N. Assuming the elastic limit is not exceeded, the force…

A: Given data: Stretch in wire (x) = 3 mm Force (F) = 150 N New stretch (x1) = 5 mm Required: New force…

Q: After a fall, a 99 kg rock climber finds himself dangling from the end of a rope that had been 14 m…

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Q: After a fall, a 110 kg rock climber finds himself dangling from the end of a rope that had been 19 m…

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Q: The uniform rod BC is of length 3 m has a mass of 15 kg. The spring AB is unstretched when 0 = 0. If…

A: Hooke's law states that the compression or extension in a spring or any elastic material is directly…

Q: no air resistance, g=9.81 mls^2 mB=2450 goes up ramp, and the coefficient of kinetic friction…

A: Free body diagram of mass mA is- Free body diagram of mass mB is-

Q: When the 0.1-kg body is in the position shown, the linear spring is stretched 10 mm. Determine the…

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Q: Question 6) Consider the following graph. (cm) Elongation of a spring as a function noitesu of the…

A: The formula for spring force is, F=kx Where, k is spring constant and x is elongation in spring.

Q: A wire has a diameter of 0.01 m and the original length of 3 m. The string is pulled by a force of…

A: Young's modulus is given by, Y = (F/A)/(dL/L) here, F = Force applied on string = 467 N A =…

Q: A cylindrical specimen of some metal alloy of 8 mm in diameter is stressed elastically in tension. A…

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Q: A man with a mass of 75.2 kg stands on one foot. His femur has a cross-sectional area of 8.00 cm^2…

A: Given data: mass (m) = 75.2 kg cross-sectional area (A) = 8 cm2 uncompressed length (L) = 50.5 cm…

Q: 8. A 1.50 kg box rests on a plank that is inclined at an angle of 64.0° above the horizontal. The…

A: The maximum possible extension in the spring at which the block still stays at rest is to be…

Q: Which of the following are true about the modulus of a spring? Select all that apply. It represents…

A: Modulus of spring is k Such that F = k x where F = Force  x = distance Let's shake each option one…

Q: An archer must exert a force of 395 N on the bowstring shown in Figure (a) such that the string…

A: (a) Draw the free-body diagram of the point where the archer is exerting the force.

Q: A 15 cm long animal tendon was found to stretch 3.7 mm by a force of 13.4 N. The tendon was…

A: Given Data : The length of the animal tendon is given as l=15cm=15cm×1m100cm=15×10-2m. The change in…

Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).