Experiments using “optical tweezers” measure the elasticity of individual DNA molecules. For small enough changes in length, the elasticity has the same form as that of a spring. A DNA molecule is anchored at one end, then a force of 1.5 nN (1.5 x 10-9 N) pulls on the other end, causing the molecule to stretch by 5.0 nm (5.0 x 10-9 m). What is the spring constant of that DNA molecule?

Q: To measure the static friction coefficient betwee

A: Given: Mass of the block is m=4.93kg Spring constant K=521 N/m compression x=0.0524m

Q: Problem 7: The length of nylon rope from which a mountain climber is suspended has a force constant…

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Q: Review Conceptual Example 2 as an aid in solving this problem. An object is attached to the lower…

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Q: A spring oriented vertically is attached to a hard horizontal surface as in the figure below. The…

A: Compression Springs are open-coil helical springs wound or constructed to oppose compression along…

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: A cylindrical specimen of some metal alloy of 8.5 mm in diameter is stressed elastically in tension.…

A: Given  T = 15700 N. D = 8.5 mm = 0.0085 m ∆D = 5.3*10-3mm

Q: A spring lies on a horizontal table, and the left end of the spring is attached to a wall. The other…

A: Given data, Mass of the box = 0.50 kg Spring constant = 72 N/m Co-efficient of static friction, μs =…

Q: A 1.48 kg object is placed on the end of a vertical spring, with a spring constant of 103.9 N/m.…

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Q: A spring lies on a horizontal table, and the left end of the spring is attached to a wall. The other…

A: The spring can be stretched up to a distance of 0.073 m.Explanation:

Q: Hooke's law describes a certain light spring of unstretched length 38.0 cm. When one end is attached…

A: Given data: Unstretched length, L1=38.0 cm Length of the spring, L2=41.50 cm Mass of the object,…

Q: Many caterpillars construct cocoons from silk, one of the strongest naturally occurring materials…

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Q: Q. A rod having a diameter of 4 cm and length of 1 m is suspended from a rigid suppor as shown in…

A: Youngs modulus of elasticity     Y = stress /strain

Q: A spring lies on a horizontal table, and the left end of the spring is attached to a wall. The other…

A: Mass of box , m = 0.80 kg  Spring constant, k = 56 N/m static friction,  μs = 0.60

Q: A spring lies on a horizontal table, and the left end of the spring is attached to a wall. The other…

A: Given,

Q: It takes a force of 2N to compress a spring by 2cm from equilibrium position.  What is the magnitude…

A: Given -          force req. for compression = 2N           distance moved during compression = 2 cm

Q: 12. A student applies a force of 20 N and stretches a spring 5 cm. When she applies a force of 40 N,…

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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…

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Q: A spring lies on a horizontal table, and the left end of the spring is attached to a wall. The other…

A: Given:- The mass of the box m = 0.80 kg  The spring constant = 56 N/m  the friction coefficient is…

Q: A cable is 100 m long and has a cross-sectional area of 1.0 x 10-6 m2. A 1000 N force is applied to…

A: The objective of the question is to find out how far the cable stretches when a force is applied to…

Q: A student attaches a series of weights to a tendon and measures the total length of the tendon for…

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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: held stretched 1.8 meters beyond its natural length by a force of 90 newtons. If the spring begins…

A: Force F=90 NMass m=10 kgLength stretched x=1.8 m Initial velocity=2 m/s

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 data: The length of the steel cable is L=9.2 m. The radius of the steel cable is R=0.50 cm.…

Q: A spring lies on a horizontal table, and the left end of the spring is attached to a wall. The other…

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Q: Many caterpillars construct cocoons from silk, one of the strongest naturally occurring materials…

A: this question find out the no. of strand needed for hanging 81 kg pair mountain climbers. Hooke 's…

Q: If a fish is attached to a vertical spring and slowly lowered to its equilibrium position, it is…

A: Suppose a fish is attached to a vertical spring and slowly lowered to its equilibrium position, it…

Q: The nuchal ligament in a horse supports the weight of the horse’s head. This ligament is much more…

A: Write the expression for Young’s modulus, and solve for the restoring force as follows.

Q: An object is attached to the lower end of a 100-coil spring that is hanging from the ceiling. The…

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Q: a spring has an unstretched length of 25.0 cm. When a 500g mass is hung from this spring a length of…

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Q: *12. mmh To measure the static fric- tion coefficient between a 1.6-kg block and a vertical wall,…

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Q: 6. A spring (k = 830 N/m) is hanging from the ceiling of an elevator, and a 5.0-kg object is…

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Q: It takes 25 NN of force to compress a very light spring 16 cmcm. The spring is placed parallel to a…

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Q: A spring lies on a horizontal table, and the left end of the spring is attached to a wall. The other…

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Q: A 73-kg snow skier is being pulled up a 19° slope by a steel (Young's modulus 2.0 x 10¹1 N/m²)…

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Q: A spring (k = 970 N/m) is hanging from the ceiling of an elevator, and a 7.2-kg object is attached…

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Q: wire has a cross sectional area ‘A’, length ‘L’ and young’s modulus ‘Y’. It is pulled by a force ‘F’…

A: Given: Cross-sectional area = ‘A’, length = ‘L’  young’s modulus = Y It is pulled by a force ‘F’…

Q: To measure the static friction coefficient between a 1.40-kg block and a vertical wall, a spring (k…

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Q: A spring lies on a horizontal table, and the left end of the spring is attached to a wall. The other…

A: mass of box = m = 0.85 kg spring constant = k = 67 N/m co-efficient of friction = 0.74

Q: A surgeon is using material from a donated heart to repair a patient's damaged aorta and needs to…

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Q: Many caterpillars construct cocoons from silk, one of the strongest naturally occurring materials…

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Q: The nuchal ligament in a horse supports the weight of the horse’s head. This ligament is much more…

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Spring Potential Energy

The potential energy is the energy possessed by a body by virtue of its position or the energy held by the object due to its position relative to other objects, its force like stresses, charge, and other factors affecting the particles of the body. The potential energy is the measure of the net work done by or on the body. The spring potential energy is the potential energy stored due to the deformation of an elastic spring and this elasticity is due to the stretched spring. The elasticity is the ability of a solid-state matter to come back to its equilibrium position or original position after any kind of external force is acted on it. It is also known as Elastic potential energy. The potential energy here is caused due to the displacement of the spring from its equilibrium position to another position and this potential energy is equal to the net work done due to the stretching of the spring. It also resembles the same mechanics of the oscillation of a simple pendulum, where due to the external force, the object moves from its equilibrium position to its maximum ends and the periodic motion continues till it comes back to the equilibrium position to rest.