Suppose I have a spring attached to the ceiling with a weight attached. I stretch the spring as far as possible towards the ground(a distance of four feet). I then release it.  I time it and the spring completes 4 circuits in 10 seconds.      Find an equation that models this data.

Q: I find a spring that is labeled "80 N/m", but it is actually 3.5 inches long. I fasten a beam…

A: The length of the spring is given to be 3.5 inches. And it has been fastened from a beam 789mm above…

Q: When a block is suspended from a vertically hanging spring, it stretches the spring from its…

A: Given : Total length, xf = 5.50 cm = 0.055 m Original length, xi = 4.50 cm = 0.045 m On horizontal…

Q: 1.0 0.9 E 0.8- 0.7 0.6 0.5- 0.4 0.3 0.2 0.1 0+ 1 4 6. 7 8. Time (s) A student attaches a block to a…

A: From the graph, the total energy of the system is E=1.0 J kinetic energy of the system at 5.0 s is…

Q: A glider of mass 0.240 kgkg is on a frictionless, horizontal track, attached to a horizontal spring…

A: Potential energy of a spring stretched by some distance 'x' is 12kx2 Kinetic energy is given by the…

Q: mass of 10 kg is attached to the spring in problem 8. The spring is compressed by 2 cm and is…

A: 9) mass (m) = 10 kg compression in spring (d) = 2 cm Given in question 8 : "Energy stored in spring…

Q: A spring with spring constant 94 N/m and rest length 27.2 cm is used to pull a wooden block of…

A: GIven data The spring constant is given as k = 94 N/m. The rest length is given as l = 27.2 cm. The…

Q: OK, once again we have a pendulum, this time of length 1.14 m, which you release from rest at an…

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Q: A block with mass m =6.3 kg is hung from a vertical spring. When the mass hangs in equilibrium, the…

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Q: B. Mass vs Velocity Spring constant, k Spring compression, x 1000 N/m 1 C. Spring constant vs…

A: Given that, B. spring constant, k = 1000 N/m spring compression, x=1 m   C. mass, m=75 kg spring…

Q: A spring with spring constant k = 80 N/m has an equilibrium length of 1.00 m. The spring is…

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Q: simple pendulum is suspended from the ceiling by means of a string and the pendulum has a length of…

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Q: Q2) A block of mass m= 1.09 kg is pushed against an ideal, massless spring with spring constant k=…

A: m=1.09 kg k=10.5 N/m x1=-1.96 m let the speed at equilibrium be v

Q: A 2-kg block on a rough horizontal surface is attached to spring (k = 800 N/m); the other end of the…

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Q: Q11. One end O of a spring of mass m is fixed to a wall and the other end A is free. The spring…

A: Mass = m  Spring constant = k  Amplitude = a

Q: E. A block of 200 g mass is dropped from a height of distance of 50 cm. The force constant of the…

A: Given data:  Mass (m) = 200 g = 0.200 kg Height from ball dropped = 2 m Comparison in spring (x) =…

Q: .) A spring has a spring stiffness constant kk of 70.0 N/m. How much must this spring be compressed…

A: Given: The spring constant is 70 N/m. The stored energy in the spring is 50 J.

Q: A block of mass 2 kg is attached to the end of a spring of force constant 180 kN/m as in fig. (a).…

A: Given data The mass of the block is m=2 kg The spring constant is K=180 kN/m The amplitude of the…

Q: OK, once again we have a pendulum, this time of length 1.92 m, which you release from rest at an…

A: Given data: Length of the pendulum, L=1.92 m    θ1=58.3 ∘  θ2=11.7 ∘

Q: 4. Springs AB and CD have a stiffness ofk = 300 N/m and k' = 200 N/m, respectively, and both springs…

A: Given: Stiffness of AB, k = 300 N/m Stiffness of CD, k' = 200 N/m Length of both spring = 600 mm

Q: Hooke's law describes a certain light spring of unstretched length 34.2 cm. When one end is attached…

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Q: One type of BB gun uses a spring-driven plunger to blow the BB from its barrel. (a) Calculate the…

A: Compression x = 0.140 m Mass m = 0.0560 kg Speed v = 18 m/s

Q: A block of mass m = 2.00 kg is attached to a spring of force constant k = 4.95 x 102 N/m that lies…

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Q: A block of mass 1.3 kg is attached to a horizontal spring that has a force constant 900 N/m as shown…

A: Given: The mass of the block is 1.3 kg. The force constant of spring is 900 N/m. The friction force…

Q: A small spring is laying horizontal on a table and is compressed by 0.50 m. A small mass of 0.25 kg…

A: Amplitude = 0.5 m m = 0.25 kg acceleration =8 m/s2

Q: You are asked to design spring bumpers for the walls of a parking garage. A freely rolling 1300 kgkg…

A: Kinetic energy : Kinetic energy of an object is the measure of the work an object can do by virtue…

Q: A block of mass of 1.0 kg is moving across a frictionless floor and comes in contact with an ideal…

A: Given data :                Mass of the block , m = 1 kg                Velocity of the block,  v =…

Q: A 1.1-kg object is suspended from a vertical spring whose spring constant is 160 N/m. (a) Find the…

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Q: A horizontal spring has a spring constant of 30.5 N/m. A mass of 300 g is attached to the spring and…

A: Given, spring constant of the spring, k = 30.5 Nm mass of the object, m = 300 g spring is displaced,…

Q: You start with spring that's already been stretched an unknown amount from equilibrium. After…

A: Write a given values of this question. Let initial stretch is x∘.…

Q: A 2.85 kgkg block on a horizontal floor is attached to a horizontal spring that is initially…

A: Apply Newton’s second law at the vertical motion of the block, then n-mg=0n=mg=2.85 kg9.8 m/s2=27.93…

Q: 10. A block with mass 0.50 kg is forced against a horizontal spring of negligible mass, compressing…

A: In the following question , when block is forced against horizontal spring it will loose some energy…

Q: One end of a horizontal spring with force constant 130.0 N/mN/m is attached to a vertical wall. A…

A: The block's mass is, m=5 kg The spring constant is, k=130 N/m The magnitude of the force is, F=89 N…

Q: A simple pendulum is made from a 0.761-m-long string and a small ball attached to its free end. The…

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Q: Q1) A spring with a constant of k=100 N/m is attached to the back of a block with a mass of 2 kg…

A: Given: Mass, m1=1 kg m2=2 kg Speed,v1=6 m/s v2=3 m/s  Spring constant k =100 N/m (a) Hooke's Law:…

Q: The system shown in the figure is in equilibrium. Masses mj& m2 are 2 kg and 8 kg respectively.…

A: Draw the free-body diagram of the 2 kg mass.

Q: The motion of a particle is given by x(t) = (25 cm) cos(18t), where t is in s. Part A What is the…

A: Given, The equation, governing the motion of a particle is :  x(t) =(25cm) cos (18t) We have to find…

Q: can be compressed 1.5 cm by a force of 250 N. The block momentarily stops when it compresses the…

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Q: The magnitude of the force required to compress an imperfect horizontal spring a distance x is given…

A: Given,Magnitude of the force required to compress an imperfect horizontal springFb = kx + bx3mass of…

Q: Suppose you attach the object with mass m to a vertical spring originally at rest, the spring…

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Q: A block of mass 1.3 kg is attached to a horizontal spring that has a force constant 900 N/m as shown…

A: a)the expression for the retarding force is

Q: A block of mass 1.7 kg is attached to a horizontal spring that has a force constant 1100 N/m as…

A: Solution:

Q: OK, once again we have a pendulum, this time of length 1.49 m, which you release from rest at an…

A: GIVEN The length of the pendulum = 1.49 m pendulum release from rest at an angle of 41.6 degrees to…

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 spring has a length of 0.180 m when a 0.300 kg mass hangs from it, and a length of 0.750 m when a…

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Q: A box of mass 10 kg slides along a frictionless surface with a velocity of v = 8.0 m/s and hits a…

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Q: 900 kg safe is 1.5 m above a heavy-duty spring when the rope holding the safe breaks. The safe hits…

A: Given: The mass of the safe is 900 kg. The height of the safe from the spring is 1.5 m. The maximum…

Q: Consider a spring with a spring constant of (12.6 + A) N/m. What mass would you need to hang on the…

A: Period of the spring T=2πmkm=T2π2k

Q: A package of mass mmm = 6.00 kgkg is released on a 53.1∘∘ incline, a distance DDD = 4.00 mm from a…

A: Solution: Given that package of mass m = 6.00 kg θ = 53.1 ° D = 4m  spring with force constant k =…

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.