a F, x= - 'max Figure 8.9 (Example 8.6) (a) A block attached to a spring is pushed inward from an initial position x = 0 by an external agent. (b) At position x = -x, 'max the block is released from rest and the spring pushes it to the right.

Q: 20.0° has a spring of force constant k = 480 N/m fastened securely at the bottom so that the spring…

A: Let m be the mass of the block, d be the distance between the uncompressed spring and block, v be…

Q: A 0.45 kg mass sliding on a horizontal frictionless surface is attached to one end of a horizontal…

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Q: A 0.750 kg mass hangs from a vertical spring. Assume the mass of the spring is negligible. Note that…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: A block of mass m = 2.00 kg is attached to a spring of force constant k = 5.70 ✕ 102 N/m that lies…

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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: The block in the figure below rests on a frictionless surface. Find its instantaneous acceleration…

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Q: A block of mass m= 0.28 kg is resting against the spring with force constant K= 250 N/m and…

A: Given: The mass of the object is 0.28 kg. The spring constant is 250 N/m. The compression in the…

Q: The data in the table was collected by hanging masses on a spring with an unknown spring constant.…

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

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Q: One end of a spring is attached to a fixed wall while a 0.49-kg block is attached to the other…

A: The potential associated with the spring is elastic potential energy that is given as  Ep=1/2 kx2

Q: As shown in the figure below, a box of mass m = 6.00 kg is sliding across a horizontal frictionless…

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Q: A bullet with mass 5.01 g is fired horizontally into a 2.053-kg block attached to a horizontal…

A: In the question, we use the conservation of kinetic energy into elastic potential energy of the…

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: A spring of negligible mass stretches 3.46 cm from its relaxed length when a force of 5.40 N is…

A: The applied force F = 5.4 N. The particle’s mass is m = 0.8 kg. The amplitude A = 5 cm = 0.05 m. The…

Q: A spring having a spring constant of 500.0 N/m is permanently attached to a 4.00kg mass initially at…

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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: You have a simple pendulum consisting of a small 450 g mass attached to a 1.20 m long string.…

A: GIVEN: Mass  m= 450g = 450 x 10-3 kg ; Length of the string L = 1.2 m θ = 35o

Q: Problem 10: A simple pendulum with mass, m=1 kg and length, L=2.0 m is released by a push when the…

A: Given:length, L = 2 mAngle, θ = 45°Velocity, v = 3 m/s

Q: A 0.033kg block on a frictionless horizontal surface is attached to a 130N/m spring. The block is…

A: The spring constant is, k=130 N/m The amplitude of the system is, A=0.08 m The block's mass is,…

Q: ne end of a spring is attached to a fixed wall while a 0.44-kg block is attached to the other…

A: Given: mass of block m = 0.44 kg stretched distance x = 0.8 m force constant of spring k=4 N/m

Q: A block of mass m = 2.00 kg is attached to a spring of force constant k = 4.95 x 102 N/m that lies…

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Q: A spring-powered dart gun is unstretched and has a spring constant 12.0 N/m. The spring is…

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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: A horizontal spring has a spring constant of 31.5 N/m. A mass of 4k g is attached to the  spring and…

A: Given: The mass of the object is 4 kg. The spring constant is 31.5 N/m. The amplitude of the system…

Q: A block of mass 2.0 kg is attached to a horizontal spring that has a force constant of 100.0 N/m .…

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Q: A bullet with mass 5.18 g is fired horizontally into a 1.918-kg block attached to a horizontal…

A: (a) The spring energy is equal to the kinetic energy of the system, since all kinetic energy is…

Q: As shown in the figure below, a box of mass m = 6.00 kg is sliding across a horizontal frictionless…

A: mass , m = 6 kg Initial speed , Vi = 3.2 m/s Spring constant , k = 2800 N/m To find = Spring…

Q: A spring resting on a horizontal surface and attached to a mass of 0.60 kg. The spring is compressed…

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Q: A spring-powered dart gun is unstretched and has a spring constant 16.0 N/m. The spring is…

A: Data Given,  Spring constant ( k ) = 16 N/m Extension of the Spring  ( x ) = 8 cm             = 0.08…

Q: A block of mass m = 2.00 kg is attached to a spring of force constant k = 5.30 x 102 N/m that lies…

A: a)Work done to stretch the spring = (1/2)(K)(displacement)2  = (1/2)(530)(0.048)2 W =0.61 Joules

Q: You have been asked to design a "ballistic spring system" to measure the speed of bullets. A bullet…

A: From conservation of momentum is, mBvB=mB+Mvf       ......(i) From conservation of energy,…

Q: A 1.30 kg block of wood sits on a frictionless horizontal surface is attached rigid support by a…

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Q: An ?=20.0 g object is held against the free end of a spring of constant ?=25.0 N/m that is…

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Q: As shown in the figure below, a box of mass m = 5.80 kg is sliding across a horizontal frictionless…

A: At the moment the spring was fully compressed, the box comes to momentary at rest. At this point,…

Q: A bullet with mass 5.00 g is fired horizontally into a 2.000-kg block attached to a horizontal…

A: Given:- A bullet with mass m1 = 5.00 g = 5 x 10-3 kg  A block mass of m2 = 2.0 kg  The spring has a…

Q: A 3.00 kg block on a horizontal surface is placed (not attached) at rest against a horizontal…

A: The given data: The mass of the block, m = 3.00 kg The weight of the block, W = mg = 3×9.8 = 29.4 N…

Q: A block of mass m = 2.00 kg is attached to a spring of force constant k = 4.30 ✕ 102 N/m that lies…

A: Given data: Mass of the block is, m= 2 kg Spring constant is, K= 4.30 ✕ 102 N/m displacement of the…

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

A: Given:- Spring constant = k = 525 N/m Displacement of the block = x = 5 cm = 0.05 m Velocity of the…

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

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Q: A block of mass m = 5.70 kg is attached to a light spring and slides on a rough horizontal surface…

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Q: ong spring with spring constant 224 N/m has a mass 1.4 kg attached to it, and it can oscillate on a…

A: Given Length of spring, L=50 cm=0.5 mspring constant, k=224 N/mMass attached, m=1.4 kgspring is…

Q: As shown in the figure, a 1.50-kg box is held at rest against a spring with a force constant k = 650…

A: Given quantities: mass of the box (m) = 1.50 kg force constant of the spring (k) = 650 N/m…

Q: A mass of 0.8 kg is attached to a horizontal spring whose stiffness is 10 N/m. Friction is…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

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.