An object of mass 1.25 kg at the bottom of a ramp is given an initial speed of 4.45 m/s up the 30.0° slope. After sliding a distance of 1.00 m along the surface it comes into contact with the end of a spring and compresses the spring an additional 0.350 m before coming to rest. If the coefficient of kinetic friction between the object and the inclined surface is 0.250, determine the force constant of the spring

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 attached to a horizontal spring with a spring constant k = 100 N/m is displaced to x = +6 cm…

A:

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

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A: GIven data The spring constant is given as k = 94 N/m. The rest length is given as l = 27.2 cm. The…

Q: small body of mass m resting on a smooth horizontal plane is attached by threads to a point P (see…

A:

Q: A block of mass m = 2.00 kg is attached to a spring of force constant k = 435 N/m as shown in the…

A:

Q: A force with a magnitude of 40 N is applied at an angle of e = 30. below the %3D horizontal to an…

A: Given information: The mass of the block (m) = 50kg The angle at which the force is applied (θ) =…

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: L k = 100 N/m ell e 1.0 kg X = -0.5 m x = 0.0 m x = 0.5 m A block of mass 1.0 kg on a horizontal…

A:

Q: www A block with mass m = 5 kg is attached to two springs with spring constants kleft = 31 N/m and…

A:

Q: A moving 4.50 kg block collides with a horizontal spring whose spring constant is 447 N/m. ellle The…

A: Given Mass of the block (m) = 4.50 kgSpring constant (k)  = 447 N/m

Q: A block of mass 1.6 kg is attached to a horizontal spring that has a force constant of 1 000 N/m as…

A: It is given that,

Q: A block of mass (m=2.00kg) is attached to a spring of force constant k=4.05x10^2 N/m that lies on a…

A:

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

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Q: A box is pressed against a horizontal spring, compressing the spring from its relaxed length. The…

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Q: A mass is attached to an unusual spring-like object, which has a position- dependent restoring force…

A:

Q: A 0.500-kg cart connected to a light spring for which the force constant is 23.5 N/m oscillates on a…

A:

Q: To what maximum height above the point of release does it rise?

A: The maximum height attained by the block can be determined by the conservation law of energy as,…

Q: A block attached to a horizontal spring with a spring constant k = 200 N/m is displaced to x = +6 cm…

A:

Q: The work F dx done by the force exerted by the spring on a mass attached to the end of the spring…

A: The correct option is (e).    i.e  negative half of the time, positive the other half of time.

Q: A moving 3.50 kg block collides with a horizontal spring whose spring constant is 241 N/m. elll The…

A: Given information: Here, m is block’s mass, k is spring constant, xmax is the maximum elongation in…

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

A: Frictional force is given by the formula f=μN, where μ is coefficient of friction and N is normal…

Q: A ball of mass m = 1.80 kg is released from rest at a height h = 65.0 cm above a light vertical…

A:

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 block of mass 0.250 kg is placed on top of a light vertical spring of force constant 5 000 N/m and…

A: Using law of conservation of energy, the expression for find maximum height is…

Q: A block with mass e.50 kg is forced against a horizontal spring of negligible mass, compressing the…

A: Given: Compression of the spring  = x = 0.24 m Mass of the block = m = 0.5 kg Distance block covers…

Q: The force required to compress a non-standard spring as a function of displacement from equilibrium…

A:

Q: box is pressed against a horizontal spring, compressing the spring from its relaxed length. The box…

A: Solution: as given K = spring constant of spring X = distance the spring is compressed M = mass box…

Q: A system contains a perfectly elastic spring, with an unstretched length of 20 cm and a spring…

A: When a spring is stretched, elastic potential energy gets stored inside it which is given by,…

Q: tion between the block and the plane is μk = 0.13. In the initial position, where the spring is…

A:

Q: An m = 5.5kg box rests on a horizontal frictionless surface and is attached to a spring with spring…

A: Work done by a forceF applied on a block of mass m is given by W=F.d where d=distance moved by the…

Q: A simple pendulum is suspended from the ceiling by means of a string and has a length of 1.56 m…

A: Given Data:- Length of the pendulum is l=1.56 m Initial speed of the pendulum is v0=1.73 m/s…

Q: Mickey, a daredevil mouse of mass 0.0227 kg, is attempting to become the world's first "mouse…

A: Given that:Mass of the mouse: m=0.0227 kgForce constant, k=75.5 N/mCompression of spring, x=0.131…

Q: A block of mass m = 2.(K) kg is attached to a spring of force constant k = 500 N/m as shown in…

A: Given:- A block of mass m = 2.00 kg is attached to a spring of force constant k = 500 N/m  The block…

Q: A 2.50-kg block on a horizontal floor is attached to a horizontal spring that is initially…

A: Using work-energy theorem Kf+Uf-Wnc=Ki+Ui0+0+μkmgd=0+12kx2d=kx22μkmg

Q: A spring with a k = 15.3 N/m hangs 3.5 cm above a tabletop when a 400 g mass is hung from it. If the…

A: Spring constant of spring: k = 15.3 N/m Mass on spring attached: m = 400 g = 0.400 kg Distance…

Q: An object of mass 15 kg is released at point A, slides to the bottom of the 30° incline, then…

A:

Q: A mouse of mass 0.025 kg loads himself in a spring-powered gun that is pointed at some angle. He…

A: Initial energy stored in the spring = initial energy provided to the mouse Energy possessed by mouse…

Q: 2. A spring (k = 72 N/m) releases object 1 with a force of 36 N. The object slides down a ramp and…

A: Given: K=72 N/m F = 36 N work done by friction = 8.6 J initial height h = 2.0m

Q: A box with mass m=3.0 kg is attached to the lower end of a relaxed vertical spring of force constant…

A:

Q: Mickey, a daredevil mouse of mass 0.0217 kg, is attempting to become the world's first "mouse…

A: mass of mouse = m = 0.0217kg force constant = k = 60.3 N/m distance = x =0.149m

Q: A block attached to a horizontal spring with a spring constant k = 200 N/m is displaced to x = +6 cm…

A: Frequency of oscillations is proportional to spring constant and inversely to mass. A restoring…

Q: The potential energy of a spring having a fixed end and a mass attached to the other end is given by…

A: Given : k = 200 N/m x = 30 cm = 0.30 m

Q: The magnitude of the force required to compress an imperfect horizontal spring a distance x is given…

A: Given,Magnitude of the force required to compress an imperfect horizontal springFb = kx + bx3mass of…

Q: A box is pressed against a horizontal spring, compressing the spring from its relaxed length. The…

A: Solution: (1)  Maximum height attained by the box is only depends on angle of projection and initial…

Q: The work Fsp x dx done by the force exerted by the spring on a mass attached to the end of the…

A: Wоrk  dоne  by  the  sрring  оn  а  mаss  will  be  the  dоt  рrоduсt  оf  the  fоrсe  асting  аnd…

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.