A spring with force constant 311 N/m is in a compressed state, 0.417 m shorter than its relaxed length. In this condition, the spring serves a vital purpose in a device for detecting impending earthquakes. A curious physicist releases the spring and, moreover, stretches it until it is 0.109 m longer than its relaxed length. That renders the earthquake detector useless, and it fails to warn of a very strong earthquake that subsequently shatters all the lawn sculptures in the area, fortunately with no other damage or injury. Although some might consider this to be beneficial, the physicist's boss does not. She had some extremely unattractive plaster gnomes around her yard and loved them dearly. She imposes a punishment on the physicist and requires him to calculate the change of elastic potential energy caused by his meddling. What does he find? change of elastic potential energy:

Q: In preparation for shooting a ball in a pinball machine, a spring (k = 683 N/m) is compressed by…

A:

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: A 17.2-kg mass is attached to a horizontal frictionless spring. The system has a spring with a…

A:

Q: When a 65.3 kg man stands on a pogo stick, the spring is compressed 0.124 m. (a) What is the force…

A: Given Information:- Mass of the man standing on the pogo stick is m=65.3 Kg. Compression of  the…

Q: A 0.280-kg block along a horizontal track has a speed of 1.70 m/s immediately before colliding with…

A: (a). using conservation of energy, the initial kinetic energy is equal to the final spring energy.…

Q: I need help with this Homework Problem.

A:

Q: A 5.2 x 105 kg subway train is brought to a stop from a speed of 0.95 m/s in 0.57 m by a large…

A: Given, The mass of the subway train = 5.2×105 kg =m  Initial velocity of the train = 0.95 m/s = Vi…

Q: When 1/5 Kg (200g) mass is applied vertically to an elastic spring, the spring is stretched 10 cm…

A: mass = 200 g x = 10 cm therefore, amplitude = 10 cm  = 0.1 musing , hooke's law F = k x mg = kx 0.2…

Q: A box is attached to a spring and at rest at the equilibrium position of the spring when a bullet…

A: When the body is placed at the surface with coefficient of friction μ, the friction force is given…

Q: As shown in the figure below, a box of mass m = 8.00 kg is sliding across a horizontal frictionless…

A:

Q: frictionless

A: Given: Mass of the bullet = 10 g Mass of the block = 1.60 Kg Value of spring constant = 23.7 N/m…

Q: <HW 19 Dr.Z. recommends problem 1 A spring-loaded toy gun is used to shoot a ball of mass m 1.50 kg…

A: the potential energy stored by the spring is equal to the potential energy achieved  by the ball.the…

Q: A 0.26 kg mass is held at rest against a compressed spring with a spring constant of 191 N/m. When…

A: Mass, m = 0.26 kgSpring constant, k = 191 N/mSpeed of mass, v = 6.9 m/s

Q: A 1.7 kg block attached to an ideal spring with a spring constant of 17 N/m oscillates on a…

A:

Q: A frictionless spring with a 2-kg mass can be held stretched 0.6 meters beyond its natural length by…

A: Given : Force F=80 N Mass m=2 kg Length stretched x=0.6 m

Q: An astronaut in space cannot weigh themselves by standing on a bathroom scale. Instead, they…

A:

Q: A block of mass 1.5 kg is attached to a horizontal spring that has a force constant 800 N/m as shown…

A: The given data are listed below with appropriate variables. Here, m denotes the mass, k denotes the…

Q: A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 7.10 N is…

A:

Q: A spring 0.2 m long extends 0.001 m when a mass of 72 kg is hung from it.  How far will a similar…

A: GivenFor spring 1length of spring ,L1=0.2 mMass hung with spring ,m1=72 kgSpring extend to length…

Q: The adjacent figure shows two configurations () of a spring (j) that is hung (les) vertically. In A,…

A: solution is given as

Q: A horizontal spring is attached to a mass on a frictionless horizontal surface. The spring constant…

A: Given,

Q: A 0.75 kg block is held at rest against a spring with a force constant k=730 N/m. The spring is…

A: Given data The mass of the block is: m = 0.75 kg The spring constant of the spring is: k = 730 N/m…

Q: A 25 kg child bounces on a pogo stick. The pogo stick has a spring with spring constant 2.0 x 104…

A:

Q: One astronaut on the Moon has a spring with a known spring constant k while another astronaut has…

A: Here, we use the formulae of time period of oscillations to get the required.

Q: Bumper car "A' , with mass 54.0 × 104 kg, coasts across a level track at 4.50 m/s when it collides…

A:

Q: A frictionless spring with a 8-kg mass can be held stretched 1.2 meters beyond its natural length by…

A: Solution: The restoring force applied by the spring is 100N and a retarding force equal to twice its…

Q: A vertical spring (ignore its mass), whose spring constant is 925 N/m , is attached to a table and…

A: According to question--- Given data-- spring constant = 925 N//m. Compression = 0.16 m. mass =…

Q: An automobile having a mass of 1,000 kg is driven into a brick wall in a safety test. The bumper…

A:

Q: A frictionless spring with a 8-kg mass can be held stretched 1 meters beyond its natural length by a…

A: Force (F) = 70 NMass (m) = 8 kgLength stretched (x) = 1.0 m Initial velocity = 2 m/s

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: The adjacent figure shows two configurations (a) of a spring () that is hung (es) vertically. In A,…

A: Answer               D.  147

Q: we explained that when a spring is stretched or compressed from its unstretched position, elastic…

A: Given data U=∫0xFdx

Q: A box is attached to a spring and has a mass of 0.006 grams. The box, which is compressed 0,002 cm…

A:

Q: A 15kg box is placed on top of a spring with a natural length of 30cm. The weight of the box…

A:

Q: Having successfully survived his first bungee jump, Ron is hanging at rest from the end of the…

A: Ron bounces up and down using the bungee cord. Hence it an application of Simple harmonic motion.…

Q: The springs of a pickup truck act like a single spring with a force constant of k = 1.05 × 105 N/m.…

A:

Q: 0.90

A:

Q: After driving a portion of the route, the taptap is fully loaded with a total of 26 people including…

A: Given, The taptap is fully loaded with 26 people.The average mass of one person Mass of 26 people…

Q: A spring with spring constant of 227.8 N/m is compressed by 0.246 m. Then a steel ball bearing of…

A:

Q: he 100 kg block R is dropped at rest at a distance of 0.75 m above the A spring with constant kA =…

A: Given: The mass of the block is 100 kg. The spring constant of spring A is 12 kN/m. The spring…

Q: A spring with a spring constant of 303 N/m is initially compressed by a distance of 0.056 m from its…

A:

Q: As shown in the figure below, a box of mass m = 9.80 kg is sliding across a horizontal…

A:

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 locomotive with a mass of 50.0 t crashes into a stationary obstacle at the end of the railway…

A: Mass = 50  V = 5m/s K = 108 N /m

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.