A block with mass of 0.85 kg is released at the top of a frictionless ramp, 1.2 m above the floor. The block slides down the ramp then moves across the floor until it comes to a stop, compressing the spring 15 cm. Force constant of the spring is equal to 150 N/m. The coefficient of kinetic friction between the block and the floor is 0.22. 1. Determine the distance traveled by the block across the floor.

Q: 1. A spring has a characteristic of k = 2.75N/m. It has an original length of 0.100 m. What is its…

A: 1 Elastic potential energy is directly proportional to the square of the change in length and the…

Q: When a block is suspended from a vertically hanging spring, it stretches the spring from its…

A: Given : Total length, xf = 5.50 cm = 0.055 m Original length, xi = 4.50 cm = 0.045 m On horizontal…

Q: A 2.50-kg mass is attached to a vertical spring with spring constant, k=96.0 N/m and allowed to…

A:

Q: A 6.00-kg object is attached to one end of a horizontal spring that has a negligible mass and a…

A: Given Mass of object = 6.0 kg Spring constant = 300 N/m Compression in spring given = 10 cm from the…

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

A:

Q: A 2.90-kg block is released from rest and allowed to slide down a frictionless surface and into a…

A: Mass of box=2.9kg Spring constant=463N/m Height=0.5m

Q: As shown in the figure, a 1.5 kg box is held at rest against a spring with a force constant k = 795…

A: Given data: Mass of the box, m=1.5 kg Force constant, k=795 N/m Coefficient of kinetic friction,…

Q: A 1200 kg car rolling on a frictionless horizontal surface with a speed of 66 km / h collides with a…

A:

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

A:

Q: Q2) A block of mass m= 1.09 kg is pushed against an ideal, massless spring with spring constant k=…

A: m=1.09 kg k=10.5 N/m x1=-1.96 m let the speed at equilibrium be v

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: A 0.25-kg block along a horizontal track has a speed of 1.5 m/s immediately before colliding with a…

A:

Q: 3. A block of mass 2 kg is pressed against horizontal spring such that the spring is compressed…

A:

Q: A 0.20-kg mass is hung from a vertical spring of force constant 55 N/m. When the spring is released…

A:

Q: A 2,00-kg package is released on a 53,1° incline, 4.00 m from a long spring with force constant…

A: Given data: Mass m = 2.00 kg Angle θ=53.1° Length of the spring l =4.00m Force constant k…

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…

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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 2.75 kg block on a horizontal floor is attached to a horizontal spring that is initially…

A: From conservation of energy,

Q: The horizontal surface on which a block slides is frictionless. The speed of the block is 6.0 m / s…

A: Here, ∆K=-UsKf-Ki=Ui-Uf      (Ui=0)Kf=Ki-Uf=12mvi2-12kxf2

Q: A 40.0-gram rock is attached to a horizontal spring with a force constant of 11.0 N/m. The spring is…

A: Given: The mass of the rock is 40 g. The spring constant is 11 N/m. The amplitude of the system is…

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 1500-kg car moving at 25 m/s hits an initially uncompressed horizontal ideal spring with spring…

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

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Q: a 30 gram wood block is firmly attached to a horizontal spring. The coefficient of friction between…

A: Write the given values using a suitable variable. Here m signifies block mass, F signifies spring…

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

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Q: The mass slides across a rough patch of length 0.57 m where the coefficient of kinetic friction is…

A:

Q: IY A 0.25-kg block along a horizontal track has a speed of 1.5 m/s immediately before colliding with…

A: Spring Potential Energy: P.E=12kx2 explain the sum of the energy saved in the spring when it is…

Q: A 0.48 kg block is attached to a spring with a spring constant 0.69 N/m. Both the spring and the…

A: mass = 0.48 Kg Spring constant = 0.69 N/m Extension in length of spring = 0.42 m Amplitude (A) =…

Q: sin A 3 kg block at the bottom of a 37 frictionless inclined plane is given an initial velocity of 6…

A: Given: Mass of the block m = 3 kg. Inclination angle of ramp θ=37o Initial velocity of block u = 6…

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

Q: A spring attached to a mass is displaced 30 cm from its equilibrium position, At this point it has…

A:

Q: A small spring is laying horizontal on a table and is compressed by 0.50 m. A small mass of 0.25 kg…

A: Amplitude = 0.5 m m = 0.25 kg acceleration =8 m/s2

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: 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: What is the spring constant of a spring that stores 46 J of elastic potential energy when compressed…

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Q: a) Find the the work required to stretch the spring.   (b) Find the speed the block has as it…

A: Given, Mass of the block= 2 kg Force constant of the spring k=4.70×102 N/m The initial position of…

Q: what is its speed (in m/s) when it is a distance of 10 cm from the equilibrium position

A: If we apply conservation of energy  Then  Initiay energy = final energy Initial energy is for…

Q: A 2.85 kgkg block on a horizontal floor is attached to a horizontal spring that is initially…

A: Apply Newton’s second law at the vertical motion of the block, then n-mg=0n=mg=2.85 kg9.8 m/s2=27.93…

Q: 10. A block with mass 0.50 kg is forced against a horizontal spring of negligible mass, compressing…

A: In the following question , when block is forced against horizontal spring it will loose some energy…

Q: A 5 kg roller coaster is launched from Location A to reach maximum speed at Location B by the spring…

A: As the velocity of roller coaster at F is 44.3 m/s, the kinetic energy of the roller coaster at this…

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

A:

Q: A block with a mass of 30.0 kilograms (kg) is held against a spring with a force constant of k =…

A: Work energy theorem states that the work done on a particle by the resultant force is equal to the…

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: 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°…

A: m=1.25 kgθ=300K=Spring ConstantV1=Initial Velocity=4.45 m/sV2=Final Velocity =0μ=0.250s1=1+0.350…

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: 900 kg safe is 1.5 m above a heavy-duty spring when the rope holding the safe breaks. The safe hits…

A: Given: The mass of the safe is 900 kg. The height of the safe from the spring is 1.5 m. The maximum…

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.