Hooke's law describes a certain light spring of unstretched length 37.0 cm. When one end is attached to the top of a door frame, and a 6.00-kg object is hung from the other end, the length of the spring is 40.00 cm. (a) Find its spring constant.  kN/m (b) The load and the spring are taken down. Two people pull in opposite directions on the ends of the spring, each with a force of 180 N. Find the length of the spring in this situation.  m

Q: A block of mass 0.25kg is placed on top of a light, vertical spring of force constant 5800 N/m and…

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Q: When the end of a spring is displaced from its rest position by 7.8 cm, the spring’s restoring force…

A: We have,stiffness of the spring k =forcedeflection

Q: 50 N/m ell kg x = -0.3 m x= 0 m x= 0.3 m A block of mass 0.5 kg on a horizontal surface is attached…

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Q: small body of mass m resting on a smooth horizontal plane is attached by threads to a point P (see…

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Q: A 3.00 kg block on a horizontal floor is attached to a horizontal spring that is initially…

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Q: A 90 cm  long spring has a force applied to it. The spring is stretched 25 cm by the force. The…

A: The equation for the magnitude of the force applied is

Q: The left end of a 1.200 m-long board is raised 0.300 m above the level table and a 0.800 kg cart…

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Q: I find a spring that is labeled "80 N/m" but it is actually 3.5 inches long, before being hung from…

A: Spring constant (k) = 80 N/m  Displacement (y) = 62 mm  = 0.062 m

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: A 3.31-kg box placed against a horizontal spring with a force constant of k = 236 N/m compresses the…

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Q: An elevator car of mass 775 kg falls from rest 2.80 m, hits a buffer spring, and then travels an…

A: Given data: The mass of elevator car is m=775 kg. The distance traveled is h=2.80 m. The…

Q: A box is pressed against a horizontal spring, compressing the spring from its relaxed length. The…

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Q: A 2.75 kg block on a horizontal floor is attached to a horizontal spring that is initially…

A: From conservation of energy,

Q: A block of mass 1.6 kg is held against a horizontal spring so that the spring is compressed 17 cm.…

A: The normal reaction acting on the block is: Therefore, the frictional force acting on the block is:…

Q: k = 50 N/m ell ele 0.5 kg X = -0.5 m X = 0.0 m X = 0.5 m A block of mass 0.5 kg on a horizontal…

A: There are 2 questions being asked. Both of them relate to simple harmonic motion of a block.

Q: A light spring obeys Hooke's law. The spring's unstretched length is 33.0 cm. One end of the spring…

A: The length of the spring is 33cm  The mass (m) attached is 7.75kg

Q: k m A block of mass m = 5.20 kg is being suspended at rest by an extended spring of spring constant…

A: M = 5.2kg  K= 36 N/m  F= 20N  s= 2.45m

Q: A light spring with spring constant 1100 N/m hangs from an elevated support. From its lower end…

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Q: A 5kg box is placed horizontally compresses the spring distance of 6 meters and the spring constant…

A: mass = 5 kg d = 6 m k = 6 N/mK2 =2 N/m

Q: To what maximum height above the point of release does it rise?

A: The maximum height attained by the block can be determined by the conservation law of energy as,…

Q: s law describes a certain light spring of unstretched length 30.0 cm. When one end is attached to…

A: We know that force and displacement is given by  F=kx  At equilibrium kx=mg  a) k=mgx=…

Q: A light spring obeys Hooke's law. The spring's unstretched length is 32.0 cm. One end of the spring…

A: Ans(1)  Given: Mass m=8.25 kg.   Initial length of spring L=32cm After stretching, the length of…

Q: In a needle biopsy, a narrow strip of tissue is extracted from a patient with a hollow needle.…

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Q: A block of mass 0.250 kg is placed on top of a light vertical spring of force constant 5 000 N/m and…

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Q: The length of the Achilles tendon increases 0.500 cm when the force exerted on it by the muscle…

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Q: An ornament of mass 41.4 g is attached to a vertical ideal spring with a force constant (spring…

A: When the mass is lowered and the spring stop stretching then the restoring force by the spring is…

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Q: A block of mass m = 1.9 kg is attached to a spring of force constant 500 N/m. The assembly lies on a…

A: It is given that, m=1.9 kgk=500 N/mx=7 cm=0.07 m

Q: A spring with a k = 15.3 N/m hangs 3.5 cm above a tabletop when a 400 g mass is hung from it. If the…

A: Spring constant of spring: k = 15.3 N/m Mass on spring attached: m = 400 g = 0.400 kg Distance…

Q: A mass of 10.0 kg is attached to a spring on a frictionless horizontal surface. The spring constant…

A: We know,

Q: When a spring is stretched by 5 cm, its elastic potential energy is 1 J. What will its elastic…

A: Springs have a natural tendency to regain their unstretched or equilibrium position if no force is…

Q: Consider a pendulum of mass “m" attached to a spring of mass "M' that is free to move in single…

A: We know that the formula of the spring force is given as  F = -kx  here k is the spring constant  x…

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: ornament of mass 40.6 g is attached to a vertical ideal spring with a force constant (spring…

A: Given Mass m = 40.6 × 10-3 kg Spring constant k = 45.6 N/m

Q: One end of a horizontal ideal spring with spring constant 56 N/m is fixed to a wall, with the other…

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Q: A box is pressed against a horizontal spring, compressing the spring from its relaxed length. The…

A: Solution: (1)  Maximum height attained by the box is only depends on angle of projection and initial…

Q: Find the maximum compression of a spring if an 8.00-kg bowling ball drops straight down from an…

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Q: Hooke's law describes a certain light spring of unstretched length 35.0 cm. When one end is attached…

A: initial length of spring, l=35 cm strecthed length of the spring, l'=41.5 cm mass of object, m=7.50…

Q: A block of mass m = 2.5 kg is attached to a spring with spring constant k = 890 N/m. It is initially…

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Q: Hooke's law describes a certain light spring of unstretched length 31.0 cm. When one end is attached…

A: (a) The stretched length is 42.50 cm-31.0 cm=11.5 cm. spring constant is, k=Fx=mgx=6.40 kg9.80…

Q: A light spring obeys Hooke's law. The spring's unstretched length is 31.5 cm. One end of the spring…

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Q: A spring with spring constant 150 N/m and rest length 13.6 cm is used to pull a wooden block of…

A: The spring force is the force exerted by a compressed or stretched spring upon an object that is…

Q: A 0.35 kg mass is held against a compressed spring with a spring constant of 89 N/m. The mass is…

A: Using the work-energy theorem, Ki+Ui+Wnc=Kf+Uf0+12kx2-μmgx=12mv2+0v=kx2m-2μgx

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.