Suppose you attach the object with mass m to a vertical spring originally at rest, the spring stretches to a new equilibrium position. Let the spring now bounce up and down by releasing the object from rest at the spring's original rest length. ///// Spring's rest length AL = X Equilibrium position 2X m Мaximum stretch m (a) Calculate the upward force on the object at its lowest point. Leave the answer in terms of variables m and g.

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: A 2.50-kg mass is attached to a vertical spring with spring constant, k=96.0 N/m and allowed to…

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Q: A 0.750 kg mass hangs from a vertical spring. Assume the mass of the spring is negligible. Note that…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: A block attached to a horizontal spring with a spring constant k = 100 N/m is displaced to x = +6 cm…

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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…

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

A: The spring constant, k=Fx=mgl'-l   Substitute, k=6.75 kg9.8 m/s240.4 cm-34.2 cm=1066 N/m=1.066 kN/m

Q: A block P of weight 50 N is kept on a plane and now pulled so that the extension in the spring is 10…

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Q: The figure shows two springs (k1 = 10 N/m and k2 = 20 N/m ) attached to a block that can slide on a…

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Q: Consider a spring that does not obey Hooke's law very faithfully. One end of the spring is fixed. To…

A: Given : F = kx - bx2 + cz3            k = 100 N/mb = 700 N/m2c = 12,000 N/m3

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: The block in the figure below rests on a frictionless surface. Find its instantaneous acceleration…

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Q: The data in the table was collected by hanging masses on a spring with an unknown spring constant.…

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Q: A bungee cord has a spring constant of 112 N/m. How far will it stretch if a 50.0 kg mass is hung…

A: Given   Spring constant of bungee cord , k= 112 N/m Mass hung to it m = 50.0 kg To find  The…

Q: One end of a spring is attached to a fixed wall while a 0.49-kg block is attached to the other…

A: The potential associated with the spring is elastic potential energy that is given as  Ep=1/2 kx2

Q: A block of mass (m=2.00kg) is attached to a spring of force constant k=4.05x10^2 N/m that lies on a…

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Q: An object attached to a spring is pulled across a horizontal frictionless surface. If the force…

A: Given : k = 28 N/m x = 2 m a = 8 m/s/s

Q: A block of mass m = 2.00 kg is attached to a spring of force constant k = 590 N/m as shown in the…

A: Given values m = 2 kg, X = 4.05 cm = 4.05 x 10-2 m Spring constant, k=590 N/m

Q: A 0.250 kg air-track glider is attached to each end of the track by two coil springs. It takes a…

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Q: A spring has a rest length of 1.30 m. When a 20 kg mass is hung on it, it stretches to 3.60 m. What…

A: Here, x=3.60m-1.30m=2.30m

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: An elastic cord is 74 cmcm long when a weight of 72 NN hangs from it but is 80 cmcm long when a…

A: Given data: Initial length (x1) = 74 cm = 0.74 m Initial force (F1) = 72 N Final length (x2) = 80 cm…

Q: A block of mass m = 2.00 kg is attached to a spring of force constant k = 590 N/m as shown in the…

A: The energy stored in spring will be transformed into the kinetic energy of the block when it reaches…

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 block of mass, 1.5 kg is attached and secured to an end of a spring with a spring constant of…

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Q: One end of a spring is attached to a fixed wall while a 0.35-kg block is attached to the other…

A: Given data: Mass (m) = 0.35 kg Amplitude (A) = 0.8 m Spring constant (k) = 5 N/m Required: Speed…

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: A 0.600 kg block is attached to the top of a vertical spring (with spring constant 78.4 N/m) and…

A: Given values: Mass of the block, m=0.600 kg Spring constant, k=78.4 N/m

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 1.05 kg air-track glider is attached to each end of the track by two coil springs. It takes a…

A: Given : Mass of an air track glider (m) = 1.05 kg Horizontal force (F) = 0.700 N Displacement (xo) =…

Q: The 10-kg block is released from rest on the horizontal surface at point B, where the spring has…

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Q: If a spring has a constant of 950 N/m and a length of 18 cm at equilibrium position, what is the…

A: Given data:  Spring constant (k) = 950 N/m Length at equilibrium position = 18 cm Spring stretched…

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: When you stand on a trampoline, the surface depresses below equilibrium, and the surface pushes up…

A: Since the trampoline is modelled as a spring, the magnitude of restoring force developed can be…

Q: A horizontal spring system consists of a block of mass 4.25 kg on a frictionless surface attached to…

A: a) When a spring is displaced by a distance x from its equilibrium position then the force acting on…

Q: A mass resting on a horizontal, frictionless surface is attached to one end of a spring; the other…

A: Write the given values with the suitable variables. W=3 Jx=0.13 ma=12 m/s2 Here, W, x, and a are the…

Q: A 0.293-kg block resting on a frictionless, horizontal surface is attached to a spring having force…

A: Since we only answer up to 3 subparts so we will answer the first 3. Please resubmit the another…

Q: A block sitting on a frictionless surface is attached to a spring of spring constant k. The other…

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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: 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: A 2.0 kg object compresses a spring with a spring constant of 100 N/m by a distance of 8 cm, and…

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Q: A block of mass, 1.5 kg is attached and secured to an end of a spring with a spring constant of…

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Q: 10. A block of mass 1.0 kg placed on a horizontal floor is attached to a fixed nail with the help of…

A: Given ,mass m = 1kgstiffness of spring k = 5 N/cm = 500 N/mCoefficient of friction μ =0.25Amplitude…

Q: A block with mass of 0.85 kg is released at the top of a frictionless ramp, 1.2 m above the floor.…

A: mass = 0.85 Kg H = 1.2 m Initial potential energy = mgH   = 0.85 * 9.8 * 1.2  = 9.996 Joules…

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: A 1-kg mass attached to a vertical spring of constant 200 N/m is released from an unstretched…

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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.