Neil and Gus are having a competition to see who can launch a marble highest in the air using a spring. Neil has a firm spring with a spring constant of 54.8 N/m54.8 N/m and a maximum compression of 16.0 cm.16.0 cm. Gus's spring is less firm than Neil's with a spring constant of 13.7 N/m,13.7 N/m, but its maximum compression is greater at 31.0 cm.31.0 cm. The mass of the marble is 4.5 g.4.5 g. Ignore the effects of air resistance. What is the speed ?GvG of Gus's marble as it leaves his spring?

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 spring-loaded pellet gun is designed to fire 3.20 g projectiles horizontally at a speed of 42.8…

A: The given data are: m=3.20 g=3.20×10-3 kgv=42.8 m/sx=8.60 cm=8.60×10-2 m

Q: A horizontal spring has spring constant k= 360 N/m. b) If a 1.85-kg block is placed against the…

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Q: A spring with k=5 N/m is stretched 0.1 m. A 0.2 kg object is pushing on the spring. If the object is…

A: Height of the object doesn't change so gravitational potential energy would be zero And no thermal…

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 block of mass m=1.4 kg is attached to a spring of spring constant k = 140 N/m. The block has been…

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Q: A spring under a platform is compressed 18.0 cm from its equilibrium position when a 45.0 kg child…

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Q: L k = 100 N/m ell e 1.0 kg X = -0.5 m x = 0.0 m x = 0.5 m A block of mass 1.0 kg on a horizontal…

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Q: How far a spring extended if it has 2.5J of elastic potential energy and its spring- constant is…

A: The formula of the elastic potential energy of a spring is  U=0.5 K x2 where, K is the spring…

Q: A 0.25-kg block along a horizontal track has a speed of 1.5 m/s immediately before colliding with a…

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Q: A scene in a movie has a stuntman falling through a floor onto a bed in the room below. The plan is…

A: Potential energy possessed by the mass at the given height is converted into the spring potential…

Q: A bullet with mass 4.91 g is fired horizontally into a 2.129-kg block attached to a horizontal…

A:

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: In designing a spring loaded cannon, determine the spring constant required to launch a 1.0 kg ball…

A: Given data: Displacement of the ball x=5 cm =0.05m Mass of the ball m=1.0 kg Initial speed v=1.2 m/s

Q: A mass m = 16 kg rests on a frictionless table and accelerated by a spring with spring constant k =…

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Q: An 8.0-g bullet is suddenly shot into a 4.0-kg block that is at rest on a frictionless horizontal…

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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 40.0-gram rock is attached to a horizontal spring with a force constant of 11.0 N/m. The spring is…

A: Given: The mass of the rock is 40 g. The spring constant is 11 N/m. The amplitude of the system is…

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

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Q: 43. A 200 g mass stretches a spring 40 cm. How much Potential energy does the spring have? A. .392 J…

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Q: A block attached to a horizontal spring with a spring constant k = 200 N/m is displaced to x = +6 cm…

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Q: The mass slides across a rough patch of length 0.57 m where the coefficient of kinetic friction is…

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Q: spring with a constant of 50.0 N/cm. The launcher is prepared by compressing the spring by 5.00 cm.…

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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: If a mass of 0.65 kg is attached to a horizontal spring displaced by 5.5cm, determine the spring…

A: Given Mass is given as m=0.65 kg Displacement of the spring is ∆x=5.5 cm=0.055 m Potential energy…

Q: A block with mass e.50 kg is forced against a horizontal spring of negligible mass, compressing the…

A: Given: Compression of the spring  = x = 0.24 m Mass of the block = m = 0.5 kg Distance block covers…

Q: What is the spring constant of a spring that stores 46 J of elastic potential energy when compressed…

A:

Q: 37 - What is the spring constant of a spring that stores 36 J of elastic potential energy when…

A: Energy stored  (E) = 36 JoulesStretching of spring (d) = 8.5 cm = 0.085 m

Q: Mickey, a daredevil mouse of mass 0.0227 kg, is attempting to become the world's first "mouse…

A: Given that:Mass of the mouse: m=0.0227 kgForce constant, k=75.5 N/mCompression of spring, x=0.131…

Q: A pitcher supplies a power of P = 203 W to a baseball of mass m = 0.095 kg for a period of t = 0.29…

A: Write the expression for the power supplied to the baseball, that is, the rate of energy…

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: The spring in a dart gun has a spring constant of 20.0 N/m. The spring is compressed 8.00 x 10-2 m…

A: Given data: Spring constant (k) = 20.0 N/m Compression in spring (x) = 8.00 × 10-2 m Mass of dart…

Q: A 10 kg runaway grocery cart runs into a spring with spring constant 250 N/m and compresses it by 60…

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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: 9) A spring shoots a plastic box with a launch speed of 2.0 m/s. If the spring is replaced with a…

A: Initial velocity of the mass is u = 2 m/s

Q: A block of mass m = 6.23 kg is attached to a spring that is resting on a horizontal, frictionless…

A:

Q: 39. A golden delicious apple of mass 0.10 kg from Mr. Sawinski's back yard is atta to a vertical…

A: According to conservation of energy Total energy of isolated system remains constant. We can use…

Q: A block with a mass of 30.0 kilograms (kg) is held against a spring with a force constant of k =…

A: Work energy theorem states that the work done on a particle by the resultant force is equal to the…

Q: 2. A spring (k = 72 N/m) releases object 1 with a force of 36 N. The object slides down a ramp and…

A: Given: K=72 N/m F = 36 N work done by friction = 8.6 J initial height h = 2.0m

Q: A 46 g ice cube can slide up and down a frictionless 38° slope. At the bottom, a spring with spring…

A: Given m = 46g =0.046kg Δx = 6cm = 0.06m K = 24N/m

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: A block of mass m = in front of a relaxed horizontal spring of spring constant k = 200 N/m fixed at…

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Q: A 4.00 kg block is attached to a spring of force constant 500 N/m. The block is pulled 10.0 cm to…

A: Given Mass of block m= 4kg Spring constant K=500N/m x=0.1 m Coefficient of friction μ=0.25

Q: The return constant of a spring is 300 N/m. Over what length should it be stretched to store 80J of…

A: Given data:  Spring constant (k) = 300 N/m Potential Energy (U) = 80 J Required: Length stretched…

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: Q: A block of mass 0.50 kg is placed on top of a light vertical spring of force constant 7500 N/m…

A: Given: M=0.5 kg k=7500 N/m compressed length, x=0.2 m g=10 m/s2

Q: A student pushes the 1.00 kg block in the figure below against a horizontal spring, compressing it…

A: Given Data : The spring is compressed by the student by a distance given as xc = 0.180 m.  The mass…

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.