rifle fires a 1.01 x 10-2-kg pellet straight upward, because the pellet rests on a compressed spring that is released when the trigger is pulled. The spring has a negligible mass and is compressed by 7.88 x 10-2 m from its unstrained length. The pellet rises to a maximum height of 5.16 m above its position on the compressed spring. Ignoring air resistance, determine the spring constant.

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

A: According to the conservation of energy,  PEspring=PE12kx2=mghkx2=2mghk=2mghx2

Q: Calculate the force constant of its plunger's spring if you must compress it 0.19 m to drive the…

A: By using the conservation of energy we will find out the spring constant. Then we will find out the…

Q: A M =7 kg mass is moving at vo = 8 m/s along a frictionless, horizontal = 800 N/m that is attached…

A:

Q: A 300 g mass is held 78.0 cm above a vertical spring and dropped from rest. It compresses a spring a…

A: The mass m=300 g=0.3 kg The initial height of the mass h=78.0 cm=0.78 m The compression in the…

Q: A spring hangs at rest from a support. If you suspend a 0.75 kg mass from the spring, its deflection…

A:

Q: A spring stretches 0.350 m when a 0.750 kg mass is hung from it. The spring is then stretched an…

A: Givenx=0.350 mm=0.750 Kgx'=0.250 m

Q: 10. A 0.500kg mass is attached to a spring, as shown. The surface that the mass is on is…

A: Given: The force is F=10 N. The mass is m=5 kg. The distance is d=0.250 m. Part (a) The expression…

Q: A spring is compressed by a 0.2 kg marble and held stationary. When released, the spring extends 4…

A:

Q: *82. A vertical ideal spring is mounted on the fl oor and has a springconstant of 170 N/m. A 0.64-kg…

A:

Q: damage at speeds below 8 km/h. If the material of the bumpers permanently deforms after a…

A:

Q: A 3 kg mass is hanging vertically from a spring-suspended from the ceiling. The mass is pulled 10 cm…

A: Mass (m) = 3 kg Amplitude (A) = 10 cm Spring constant (k) = 400 Nm

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

A: Given,

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

A: Given data: Compression in spring (x) = 0.13 J Work = 3.6 J Maximum acceleration (a) = 15 m/s2 Need…

Q: end of a spring is attached to a fixed wall whlle a 0.4-Kg block is attached to the oler movabie…

A: mass of block= m = 0.4 kg initial speed = 0 m/s spring constant = K = 3 N/m final speed = V = ?

Q: A block of mass 1 kg is dropped on a spring- mass system as shown in the figure. The block travels…

A: Given quantities: mass of first block (m) = 1 kg mass of second block (M) = 3 kg height of the first…

Q: Problem 12: A 2.00-kg block is placed on a frictionless surface. A spring with a force constant of k…

A: Given: Mass of the block m = 2.0 kg. Force constant of spring k = 32.0 N/m. Total displacement of…

Q: A spring is hung from a ceiling, and an object attached to its lower end stretches the spring a…

A: Given: The spring constant of the spring is 47.5 N/m. The extension of the spring is 5.00 cm.…

Q: It is given that the weight attached to a spring is released from a point 2ft above the equilibrium…

A: Simple harmonic motion is an oscillatory motion in which an object moves back and forth from…

Q: The vertical guide is smooth and the 7-kg collar is released from rest at A. Determine the speed of…

A: If we want to stretch any spring from its equilibrium position then it will try to retain its…

Q: A 1.50 kg mass on a spring has displacement as a function of time given by x(t)=(7.40 cm)cos[(4.16…

A:

Q: A spring is hung from a ceiling, and an object attached to its lower end stretches the spring by a…

A: Given data: The spring stretches a distance x = 5.00 cm = 0.05 m Spring constant is k = 47.5 N/m…

Q: An initially 'compressed' spring (x1 = 0.4m) is observed to compress an additional 0.4 m before…

A: Given:Initial compression in the spring = 0.4 mAdditional compression in the spring = 0.4 mFinal…

Q: When s = 0, the spring on the firing mechanism is unstretched. If the arm is pulled back such that s…

A: Given data:  k =1,518 N/m s = 103 mm m = 0.39-kg  θ = 60° Need to determine the speed of the 0.39-kg…

Q: A 1.1-kg object is suspended from a vertical spring whose spring constant is 120 N/m. (a) Find the…

A: Given that the value of mass and spring constant and also given the distance. Then We have to…

Q: Multiple-Concept Example 6 reviews the principles that play a role in this problem. A bungee jumper,…

A: Given: The mass of the object is 70 kg. The time taken by the object to reach the lower point two…

Q: block attached to a horizontal spring is pulled back a certain distance from equilibrium, then…

A: Kinetic energy = (1/2) mw2 (a2 - x2 )  Potential energy =(1/2)mw2 x2

Q: A person with a mass of 50 kg jumps 0.088 meters down from a short wall onto a trampoline below. If…

A: Given: The mass of the person is 50 kg. The height of the person from the trampoline is 0.088 m. The…

Q: 1. A spring stretches 0.350 m when a 0.750 kg mass is hung from it. The spring is then stretched an…

A:

Q: (2)Consider a similar spring as above attached to a 5.00 kg mass. At a certain position, the…

A:

Q: A block attached to a horizontal spring is pulled back a certain distance from equilibrium, then…

A:

Q: 1.48-kg object is suspended from a vertical spring whose spring constant is 112 N/m. (a) Find the…

A: It is given in the question that a mass 1.4 kg suspended from a vertical spring  The spring constant…

Q: Vision is blurred if the head is vibrated at 31Hz because the vibrations are resonant with the…

A: We have to use some basic formula here.

Q: 10. An object of mass 0.55 kg is attached to a spring, with spring constant 11.0 N/m. If the object…

A:

Q: An unstretched spring hanging to the ceiling is connected to an object. The object is released and…

A: Given data The mass attached is m=0.6 kg The drop distance is x=11.8 m   The force on the spring is,…

Q: In class we learned about Kate, a bungee jumper with mass ? = 50.0 kg who jumps off a bridge…

A:

Q: A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32…

A: Since object is 1ft above the equilibrium point  So, initial displacement of object  X(0) = 1ft

Q: What stiffness is required in a spring if it is to Launch a 12 kg Mass 30 m into the air after being…

A:

Q: 1) A 0.5 kg box is attached to an ideal spring with spring constant k=80 N/m. If the spring is…

A:

Q: On the ceiling, a spring is attached with a  3 kg mass to the other end. Here on earth, the…

A: Mass:  m = 3 kg length stretched: x = 0.15 m  Acceleration due gravity on mars: amars = 3.71 m/s2

Q: The force constant of a spring is 100 Nm-1. The spring is stretched by 2 cm. What is the change of…

A:

Q: A block of mass m = 265 g is attached to a wall by a spring (k = 22N/m) and is at rest on a…

A: mass of block (m) = 265 g = 0.265 kg spring constant (k) = 22 Nm coefficient of friction (μ) = 0.2v1…

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

A:

Q: A 1.2 kg block is attached to one end of a horizontal spring of spring constant 500 N/m (the other…

A: Given:m = 1.2 kg K = 500 N/m A =30 cm =0.3 m t = 1.5 sec

Q: A 2.00-kg block hangs from a rubber cord, being supported so that the cord is not stretched. The…

A: (a) Find the tension in the cord. T=2mg=22.00 kg9.80 m/s2=39.2 N (b) The stretched distance cord is,…

Q: An elastic cord is 72 cmcm long when a weight of 73 NN hangs from it but is 89 cmcm long when a…

A: Given , length of elastic cord is 72cm when a weight of 73 N hangs from it but is 89 cm long when a…

Q: A mass of .5kg is attached to a spring is displaced at a distance X from the resting position of the…

A:

Q: 11. A 1.33 kg mass is attached to a spring (k = 40 N/m) on a level surface without friction. It is…

A:

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.