A horizontal spring has a spring constant of 31.5 N/m. A mass of 4k g is attached to the  spring and displaced 7 cm. The mass is then released. Find: (a) the total energy of the system  (b) the maximum velocity of the system  (c) the potential energy and kinetic energy of the system for x = 10 cm

Q: An object is attached to a horizontal spring and somewhere along its motion has a kinetic and…

A: Total mechanical energy of the system is sum of kinetic energy and potential energy. T.E = K.E…

Q: 12. A vertically mounted spring (k = 750 N/m) is compressed by 30.0 cm relative to its unstrained…

A: Spring constant = 750N/m Initially compression in spring =30cm Given mass =0.24kg Height =10.76m

Q: A block of mass m = 2.8 kg is dropped (starting from rest) from a height h = 0.81 meters above the…

A: Consider the top of the spring as the reference line. Apply principle of conservation of energy…

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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: A vertical spring with elastic constant 95 N/m is compressed by 25 cm, and an object of mass 350 g…

A:

Q: Hooke's law describes a certain light spring of unstretched length 34.2 cm. When one end is attached…

A: The spring constant, k=Fx=mgl'-l   Substitute, k=6.75 kg9.8 m/s240.4 cm-34.2 cm=1066 N/m=1.066 kN/m

Q: A 3.00 kg block on a horizontal floor is attached to a horizontal spring that is initially…

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Q: A block of mass m=1.4 kg is attached to a spring of spring constant k = 140 N/m. The block has been…

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Q: A 2-kg block on a rough horizontal surface is attached to spring (k = 800 N/m); the other end of the…

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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:

Q: A .50 kg mass is attached to a spring with a spring constant 40 N/m and oscillates along a…

A: Mass (m) = 0.50 kg Spring constant (k) = 40 Nm Speed at equilibrium position (v) = 5 m/s

Q: A bullet with mass 4.59 g is fired horizontally into a 1.966-kg block attached to a horizontal…

A:

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 block of mass m = 5 Kg is attached to a spring of spring constant k. The block oscillates in…

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Q: A mass m = 16 kg rests on a frictionless table and accelerated by a spring with spring constant k =…

A:

Q: A spring with a constant of 730 N/m is compressed by a block of mass m = 1.2 kg. When the block is…

A: m = 1.2 kg k = 730 N/m L = 0.05 m coefficient of kinetic friction = 0.44 v = 2.3 m/s Using equation…

Q: A block of mass 1.6 kg is held against a horizontal spring so that the spring is compressed 17 cm.…

A: The normal reaction acting on the block is: Therefore, the frictional force acting on the block is:…

Q: A horizontal spring-mass system has low friction, spring stiffness 220 N/m, and mass 0.4 kg. The…

A: The stretch in the spring will be maximum when the velocity of the mass will be zero. Therefore, at…

Q: A 0.20 kg mass on a horizontal spring is pulled back 2.0 cm and released. If, instead, a 0.40 kg…

A:

Q: A pendulum consists of a 2 kg bob attached to a light string of length 6.0 m.  The bob is struck…

A:

Q: 6.2-kg block is attached to a vertical spring with a spring constant 800 N/m. How much elastic…

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A: M = 5.2kg  K= 36 N/m  F= 20N  s= 2.45m

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A: We know that force and displacement is given by  F=kx  At equilibrium kx=mg  a) k=mgx=…

Q: Hooke's law describes a certain light spring of unstretched length 34.2 cm. When one end is attached…

A:

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: A 0.600 kg block is attached to the top of a vertical spring (with spring constant 78.4 N/m) and…

A: Given values: Mass of the block, m=0.600 kg Spring constant, k=78.4 N/m

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A: The change in potential energy of the spring must be equal to the kinetic energy gained by the mass…

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Q: Consider an object of mass 0.150kg that is attached to a horizontal spring of spring constant 35.2…

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Q: A block of mass m2 = 10.0 kg, at rest on a horizontal surface that has negligible friction, is…

A: using conservation of momentum mu + MV = (m +M) v 14(3.2) + 10(0) = (14+10)v v = 1.87 m/s (combined…

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Q: A horizontal spring-mass system has low friction, spring stiffness 220 N/m, and mass 0.4 kg. The…

A: Given

Q: 9. A vertically mounted spring (k = 900 N/m) is compressed by 24.0 cm relative to its unstrained…

A:

Q: A block of mass 0.5 kg on a horizontal surface is attached to a horizontal spring of negligible mass…

A: calculation

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 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…

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A: Given data:  Spring constant (k) = 15 N/m Spring compressed by length (x) = 0.25 m Required: Elastic…

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A: Mass of the spring=2 kg Natural length =0.5 m Stretched length=0.7 m Force=25.6 N

Q: A bullet with mass 4.95 g is fired horizontally into a 1.972-kg block attached to a horizontal…

A: Given information: The mass of the bullet (m1) = 4.95 g = 0.00495 kg The mass of the block (m2) =…

Q: A 0.10 kg mass vibrates in the x-direction without friction at the end of a massless horizontal…

A: mass (m) = 0.10 kg Spring constant (k) = 10 NmMaximum displacement from equilibrium position (A) =…

Q: The return constant of a spring is 300 N/m. Over what length should it be stretched to store 80J of…

A: Given data:  Spring constant (k) = 300 N/m Potential Energy (U) = 80 J Required: Length stretched…

Q: what is the velocity of the block vf in m/s?

A: Friction will perform negative work and decrease total mechanical energy of spring block system .…

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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.