You are asked to design spring bumpers for the walls of a parking garage. A freely rolling 1200 kg car moving at 0.65 m/s is to compress the spring no more than 0.090 m before stopping. What should be the force constant of the spring? Assume that the spring has negligible mass.

Q: 12. A vertically mounted spring (k = 750 N/m) is compressed by 30.0 cm relative to its unstrained…

A: Spring constant = 750N/m Initially compression in spring =30cm Given mass =0.24kg Height =10.76m

Q: A block slides on a rough horizontal surface. The block hits a spring with a speed of 2.00 m/s and…

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Q: A block of mass m = 2.00 kg is attached to a spring of force constant k = 435 N/m as shown in the…

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Q: A horizontal spring with force constant k = 58.0 N/m is used to accelerate a 0.520-kg mass on a…

A: Write the given values with the suitable variables. k=58 N/mm=0.52 kgx=5.75×10-2 m Here, k is the…

Q: A block attached to a vertical spring has a velocity of 0.499 m/s after it descended through a…

A: When the block descends, two forces act on it. The forces are due its weight which pulls it downward…

Q: A massless spring (with force constant k = 181 N/m) connects a wall and a block of wood. The system…

A: spring constant (k)= 181 Nmmass of block (M) = 55.9 g mass of bullet (m) = 5.7 g compression in the…

Q: Question 14 A 2.24 kg box, sliding on a frictionless horizontal surface, has a speed of 1.02 m/s…

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Q: A 1.60 kg block slides on a rough horizontal surface. The block hits a spring with a speed of 2.10…

A: Given: m=1.60kgv=2.10 m/sx=11.0 cm=0.11mμ=0.460

Q: As shown in the figure below, a box of mass m = 7.00 kg is sliding across a horizontal frictionless…

A: By the conservation of energy, the total kinetic energy (K.E) gained by the block will be converted…

Q: a box of mass  m = 9.20 kg is sliding across a horizontal frictionless surface with an initial speed…

A: According to the law of conservation of energy , energy can neither be created nor destroyed but can…

Q: 1. (30 pts) As shown in Figure 1, a block with mass m 3.5 kg is placed on a horizontal surface at…

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Q: A 12.0 g bullet is fired horizontally at 450 m/s toward a stationary 5.00 kg wood block on a…

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Q: An 8 g bullet is shot into a 4.0 kg block, at rest on a frictionless horizontal surface. The bullet…

A: According to energy conservation, the kinetic energy of bullet-block system must be equal to the…

Q: A 4.30-kg block is sliding on a frictionless surface at 6.85 m/s toward a horizontal spring of…

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Q: 2. At the instant shown in the figure, an external force has pushed the 227 kg against the spring,…

A: Given, mass of the block, m = 227 kgspring is compressed by, x = 0.15 mspring constant, k = 17500…

Q: A block with weight w = end of a vertical spring with a spring constant k. The spring is stretched…

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Q: A 10 Kg object hangs at rest from a spring with force constant 180 N/m. A 15 Kg object is gently…

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Q: 1.2 kg A spring of spring constant k is hung from a horizontal support. A block of mass m = 1.2 kg…

A: Given quantities: mass of the block (m) = 1.2 kg acceleration due to gravity (g) = 10 m/s2…

Q: The horizontal surface on which a block slides is frictionless. The speed of the block is 6.0 m / s…

A: Here, ∆K=-UsKf-Ki=Ui-Uf      (Ui=0)Kf=Ki-Uf=12mvi2-12kxf2

Q: A 1500-kg car moving at 25 m/s hits an initially uncompressed horizontal ideal spring with spring…

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Q: A mass on a spring rests on a horizontal frictionless surface. You displace it 8.00 cm 2) from…

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Q: PROBLEM A 50.0-kg circus acrobat drops from a height of 2.00 meters straight down onto a springboard…

A: Given Mass of circus acrobat m = 50.0 kg height h = 2.00 m force constant k = 8.00×103 N/m…

Q: A puck is made up of two parts connected by a compressed spring. mi-0 3001kg [R] SPRING Ax=0:0624 m…

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Q: 12 The horizontal surface on which a 2 kg block slides is frictionless. The speed of the block…

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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 block of mass m = 5.4 kg slides on a rough surface and moves toward a spring with a spring…

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Q: A massless spring (with force constant k = 199 N/m) connects a wall and a block of wood. The system…

A: Given values:Spring constant, k = 199 N/mMass of the block, M = 58.1 gMass of the bullet, m = 8.2…

Q: A small block of mass M = 150 g is placed on top of a larger block of mass 3M which is placed on a…

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Q: A child’s toy consists of plastic attached to a spring. The spring is compressed against the floor…

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Q: A 0.200 kg object is attached to a horizontal spring with a spring constant of 77.0 N/m. The other…

A: Given : m = 0.200 kg k = 77 N/m F = 10 N

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: Mickey, a daredevil mouse of mass 0.0231 kg, is attempting to become the world's first "mouse…

A: Given data The mass of the mouse is m = 0.0231 kg. The force constant of the spring is k = 62.7 N/m.…

Q: A massless spring (with force constant k = 194 N/m) connects a wall and a DIOCK of wood. The system…

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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: How far has the spring compressed by the time the block first momentarily comes to rest? Assume the…

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Q: Examine the situation below. Using the information provided, determine... a. The speed at point A.…

A: We need to apply the law of conservation of energy to solve the given problem.

Q: A 2.50-kg block on a horizontal floor is attached to a horizontal spring that is initially…

A: Using work-energy theorem Kf+Uf-Wnc=Ki+Ui0+0+μkmgd=0+12kx2d=kx22μkmg

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 a 8.00 kg block is pushed against a massless spring of force constant 8.00 kN/m, the spring is…

A: this question is based on law of conservation of energy

Q: An object of mass 1.25 kg at the bottom of a ramp is given an initial speed of 4.45 m/s up the 30.0°…

A: m=1.25 kgθ=300K=Spring ConstantV1=Initial Velocity=4.45 m/sV2=Final Velocity =0μ=0.250s1=1+0.350…

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: block of mass m= 2.00 kg is attached to a spring of force constant k =565 N/m as shown in the figure…

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Q: A horizontal spring with stiffness 0.8 N/m has a relaxed length of 16 cm (0.16 m). A mass of 22…

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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.