You are in a zombie-themed paintball shooting range, armed with a spring-loaded paintball gun. The spring mechanism, with a spring constant of 8.6×104 N/m compresses 1.5 cm in order to shoot out a 3.0 gram paintball. You are at the bottom of a set of stairs and see a zombie pop up at the top of the stairwell. If the zombie is located a vertical distance of 15 meters above you, with what speed does the paintball hit the zombie? Ignore air resistance

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: A toy cannon uses a spring to project a 5.35-g soft rubber ball. The spring is originally compressed…

A: Given Data:The mass of the rubber ball is m=5.3 g.Initial compression of the spring is x=4.95 cm.The…

Q: A 1.42-kg box rests atop a massless vertical spring with  k = 3960 N/m  that has been compressed by…

A: Given data:  Mass (m) = 1.42 kg Spring constant (k) = 3960 N/m Comparison in spring (x) = 13.5 cm =…

Q: we have a pendulum, this time of length 2.41 m, which you release from rest at an angle of 38.0…

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Q: A small spring-loaded launcher is designed to fire steel ball bearings with masses of 0.24 kg . When…

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Q: oriented spring that is stretched 0.65 meters from its equilibrium position. If the spring constant…

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Q: A jack-in-the-box toy contains a ball and spring mechanism. In the original setting, the ball rests…

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Q: In preparation for shooting a ball in a pinball machine, a spring (k = 713 N/m) is compressed by…

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Q: Neil and Gus are having a competition to see who can launch a marble highest in the air using a…

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Q: A spring with constant 56 N/m is positioned so that is sits right below an object of mass 5.0 kg.…

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Q: 1) How much would spring A stretch if Block Y were hanging from it back in the lab in Orlando? cm…

A: Given, When the block X is hanged from spring A in laboratory frame then the spring stretches by…

Q: The ball launcher in a pinball machine has a spring that has a force constant of 1.23 N/cm. The…

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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: Starting from rest, a 73-kg person drops a distance of 0.5 m onto an ideal stiff spring of…

A: Given data as per question mass  =  73kg h  =  0.5m x   =  0.08m

Q: Fleas are agile, wingless insects that feed on the blood of their hosts. Although they are typically…

A: Write the given values with the suitable variables. m=4.6×10-4 kgv=1 m/sHere, m is the mass and v is…

Q: Neil and Gus are having a competition to see who can launch a marble highest in the air using a…

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Q: A 65.0 kg bungee jumper uses a cord that is 7.66 m long when unstretched with a spring constant of…

A: Given:-  The mass of the bungee jumper is m = 65 kg  The length of the cord is L = 7.66 m The spring…

Q: 22. A 5.00×10^5 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.400 m by a large…

A: The potential energy stored in spring is given by Where k = force constant of the spring, x =…

Q: A spring with constant 60 N/m is positioned so that is sits right below an object of mass 3.6 kg.…

A: Given the spring is placed under an object falling from a height. The object will have a potential…

Q: A horizontal spring (with spring constant 180 N/m) is attached to the wall at the left, and a 10 Kg…

A: Given: The spring constant is 180 N/m. The mass of the object attached to the spring is 10 kg. The…

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 0.87 kg block on a connected to a spring (whose spring constant is 3.80 N/m). The horizontal…

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Q: A homemade spring gun (with spring constant 1410 N/m) is aimed at an angle of 55.0 degrees upward…

A: Given: spring constant, k = 1410 N/m angle, θ = 55°  mass of tennis ball, m= 75 g = 0.075 kg…

Q: The spring of a spring gun has force constant k = 435 N/m and negligible mass. The spring is…

A: Given- Spring constant,k= 435N/m Mass of ball= 23 g Spring compression= 6.8 cm

Q: A 6.00 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.400 m by a large…

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Q: A 20.0 g marble is fired vertically upward using a spring gun. The spring must be compressed 16.0…

A: Given:  mass,m = 20 g  compression in spring, y = 16 cm = 01.6 m height, h = 15 m

Q: 65.0 kg bungee jumper uses a cord that is 3.51 m long when unstretched with a spring constant of 140…

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Q: A bow with a spring constant of 275 N/m is pulled back 0.85 meters and loaded with a 0.125 kg arrow.…

A: Spring constant (k) = 275 N/m distance pulled back on the spring (d) = 0.85 m Mass of arrow (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: It takes a flea 1.25 × 10−3 s to reach a peak speed of 0.757 m/s. Mass of the flea is 0.462 ×…

A: Time is Speed is Total mass is The maximum output of muscle is The weight of muscle is  of total…

Q: When a 1 kg mass is hung on a vertical spring, it extends the spring by 0.50 m. What is the spring…

A: The weight of a hanging mass is, W=mg=1 kg10 m/s2=10 N

Q: A 5 kg block is attached to a spring of constant k = 2400 N/m. The coefficient of friction between…

A: We are given spring constant and mass of block. We find the friction force first. We then find the…

Q: You want the maximum compression of the spring to be 0.23 m. What must be the force constant of the…

A: Given Mass of the wood block = 2 kg Maximum compression of the block = 0.23 m To find out  The force…

Q: The string on a bow can be described as a spring. A particular bow’s string has a spring constant of…

A: The string on a bow can be described as a spring. A particular bow’s string has a spring constant of…

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.