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: m = 5.20 kg is sliding across a horizontal frictionless surface with an initial speed vi = 3.30 m/s…

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Q: A 2.4 kg box is sliding along a frictionless horizontal surface with a speed of 1.8 m/s when it…

A: Using energy conservation  KE=PE stored in spring

Q: (a) Determine the speed the pendulum reaches at its lowest point (assume no ai (b) If the pendulum…

A: Given:- The mass  m = 50 g  The length of the string L= 1 m  The angle of 30o  Find:- a) Determine…

Q: n object of mass 24,000 kg, moving horizontally at 0.12 m/s is brought to a halt by a spring, with a…

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Q: A 5.00×105-kg subway train is brought to a stop from a speed of 0.500 m/s in 0.400 m by a large…

A: Given: mass of subway, m = 5 × 105 kg initial speed, u = 5 m/s final speed, v = 0 stopping distance,…

Q: A spring (k= 500 N/m) has been compressed by 15.0 cm with a mass M (450-g) at its one end. When the…

A: a)Apply the energy conservation equation when the mass is released from the spring and substitute…

Q: Iace with d speed of 1.8 m/s when it encounters a spring. (a) Determine the force constant (in N/m)…

A: Mass "m" = 2.6 kg . initial velocity "u" = 1.8m/s .

Q: The spring is compressed a mass (m 450 g) a distance of Ax = 9.0 cm. When the mass is released from…

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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: A 3.49-kg box placed against a horizontal spring with a force constant ofk= 228.7 N/m compresses the…

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Q: A spring (constant k = 125 N/m) is stretched a distance 5 cm, and a mass 0.05 kg is hooked to its…

A: Spring constant, k = 125 N/m Maximum amplitude, A = 5 cm = 0.05 m Mass, m = 0.05 kg Speed, v = ?

Q: spring laying HORIZONTALLY on a flat surface is compressed 4.5 cm (convert to m), and a ball is…

A: Given:-  A spring laying in the horizontal.  Displacement of the compressed spring x = 4.5 cm =…

Q: A vertical spring with a constant of 370 N/m is mounted on the floor. From directly above the…

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Q: A block of mass 4.00 kg is placed against a horizontal spring of constant k = 835 N/m and pushed so…

A: Elastic potential energy can be defined as the energy stored when an elastic object is stretched or…

Q: The body of mass m is attached to a massless spring with a spring constant k and the other end of…

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Q: A 45 kg gymnast is bouncing on a trampoline. Model the gymnast as a particle and the trampoline as a…

A: given that,k=15000 NmA=30cm=0.3 mm=45 kgg=9.8ms2

Q: If a 4-kg block is placed against the spring and the spring is released, what will be the speed of…

A: NOTE:  You have not mentioned the spring constant of the spring and the initial displacement of the…

Q: A block of mass 2.60 kg is placed against a horizontal spring of constant k = 815 N/m and pushed so…

A: Given values -  Mass = m = 2.6 kg  Spring constant = k = 815 N/m Compression = x = 0.06 m

Q: A ball of mass M falls from rest a distance L before striking a vertically oriented spring as shown.…

A: By conservation of mechanical energy (TME)i=(TME)f

Q: Two blocks are forced together compressing a spring S between them. Block A has a mass of 0.8 kg,…

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

A: Given data U=∫0xFdx

Q: A block of mass 2.40 kg is placed against a horizontal spring of constant k = 795 N/h and pushed so…

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Q: In the block–spring arrangement of the figure, the block’s mass is 3.30 kg and the spring constant…

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Q: A child’s toy consists of a m = 34 g monkey suspended from a spring of negligible mass and spring…

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Q: If a 4-kg block is placed against the spring and the spring is released, what will be the speed of…

A: GIVEN: Mass of block =4 kg For the spring  Work done =12kx2 where k is spring constant            x…

Q: A box of mass m=125 kg on a horizontal frictionless surface is pressed against (but is not attached…

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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: what was the initinal speed of the block?

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Q: The 5.00 kg object shown below is released from rest at a height of 7.0 m on a curved frictionless…

A: Given,  m=5 kg h=7 m k= 500 N/m g= 9.8 m/s²

Q: :) A spring with a constant k = 100 N/m is placed after point-C in the frictionless ABC path. A ball…

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Q: A horizontal spring on a frictionless surface with a spring constant of 50 N/m is compressed 0.4 m…

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Q: As shown in the figure, a 1.50 kg box is held at rest against a spring with a force constant k = 725…

A: As per our honor code, we are allowed to answer only three subparts at a time, since it is not…

Q: (8c7p50) A 0.45 kg mass sliding on a horizontal frictionless surface is attached to one end of a…

A: spring constant (k) = 725 Nmkinetic energy of mass as it passes through equilibrium position = 12.0…

Q: A block of mass 2.00 kg is placed against a horizontal spring of constant k = 765 N/m and pushed so…

A: Solution: Given: m = mass of block 2.00 kg   k = force constant of spring = 765 N/m s = compression…

Q: A horizontal spring on a frictionless surface with a spring constant of 40 N/m is compressed 0.3 m…

A: Given x=0.3m K=40N/m Mass= 2kg Stored energy in spring, U=12kx2

Q: A pendulum consisting of a particle of mass m supported by a light cord of length L is released from…

A: We will answer the question by finding the energy of mass during its motion. The detailed steps are…

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

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Q: spring is attached to an inclined planě quick shove and moves down the incline with an initial speed…

A: Given: The mass of block m = 2.59 kg. Distance between block and spring d = 0.282 m. Initial…

Q: As shown in the figure, a 1.50-kg box is held at rest against a spring with a force constant k = 790…

A: Given that the value of of mass of the box and force constant and coefficient of kinetic friction…

Q: You attach your 4.58 - kg Physics for Engineers book to a horizontal spring (k = 549 N/m). You then…

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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.