How far has the spring compressed by the time the block first momentarily comes to rest? Assume the positive direction is to the right.

Q: Use the approximation that  vavg = pf/m  for each time step.A spring with a relaxed length of 25 cm…

A: For a spring mass system, the position is,

Q: (a) How far is the spring compressed, if k = 120 N/m? (b) What minimum value of the coefficient of…

A: Ans a) Using the law of conservation of energy         0.5*m*v^2 - umgx = 0.5*k*x^2…

Q: A light spring with force constant 3.10 N/m is compressed by 7.80 cm as it is held between a…

A: Mass of left block=m1=0.4 kg  Mass of right block=m2=0.8kg Let acceleration of m1=a1 m/s^2  and…

Q: A spring with a spring constant of 825 N/m is placed horizontally, and compressed a distance of…

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Q: When the rope is at an angle of α = 30° the 1-kg sphere A has a speed vo = 0.6 m/s. The coefficient…

A:

Q: A spring oriented vertically is attached to a hard horizontal surface as in the figure below. The…

A: Compression Springs are open-coil helical springs wound or constructed to oppose compression along…

Q: Problem 7: A block of mass m 2.5 kg is attached to a spring with spring constant k = 980 N/m. It is…

A:

Q: A child bounces in a harness suspended from a door frame by three elastic bands. (a) If each…

A:

Q: A block of mass 4.2 kg is sitting on a frictionless ramp with a spring at the bottom that has a…

A: Given that : m=4.2 kg θ=39° k=405 N/m a) Let the spring be compressed by x. The potential energy of…

Q: A block on a frictionless horizontal surface is attached to a cable and a spring that is stretched…

A: Given data, Stretched in the spring = 0.17 m Tension in the cable = 48 N Normal force on the block =…

Q: velocity (m/s) x-position (m) F →→→→x A varying force causes the velocity of a 8 kg particle to vary…

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Q: A 2.12 kg friction-less 4. block is attached to a horizontal spring as shown. Spring constant k =…

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Q: The spring has an unstretched length of 0.43 m and a stiffness of 168 N/m. The 2.8-kg slider and…

A: GivenThe spring has an unstretched length of 0.43 m and stiffness K of 168 N/m, The 2.8-Kg slider…

Q: a box with the mass m = 2.60 kg, starting from rest, falls a vertical distance h = 55cm before…

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Q: A 1.68 kg ball rolls on a frictionless horizontal surface at 4.52 m/s and collides with a stationary…

A: Write the given values with the suitable variables. m1=1.68 kgu1=4.52 m/sm2=1.22 kgu2=0 m/sk=1758…

Q: A ball of mass m, is released from the rest at point A and it collides with the second ball of mass…

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Q: A spring with force constant k=1200N/m is compressed by x=2 cm using a block m1= 3 kg on a smooth…

A: Initially potential energy stored in the compressed string and the kinetic energy of system can be…

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: An object with mass m = 3.0 kg is released from rest from a height H = 10 m as shown in the figure.…

A: Work done by a body to move on the frictional surface from a point to another. While moving the…

Q: A18.0-g block is placed against the free end of a spring (with spring constant k equal to 32.0 N/m)…

A: mass of block (m) = 18 g m = 0.018 kg spring constant (k) = 32 Nmcompression of spring (d) = 12 cm d…

Q: A 68 kg stunt- woman falls off a bridge and travels 20.0 before colliding with a pile of mattresses.…

A:

Q: A horizontal spring with a spring constant of 20.0 N/m is attached to a 0.750 kg mass on a…

A: We are given extension in spring. This is the amplitude of oscillation. We find angular frequency…

Q: A light spring with force constant 3.80 N/m is compressed by 7.44 cm as it is held between a…

A: Givenspring with force constant k=3.80 N/mx= 7.44 cm = 0.0744 mMass of Heavy Block m1= 0.518 kgMass…

Q: A student builds a miniature cannon, using an initially compressed spring to launch a 200 gram ball…

A: In the given problem, a ball is launched from a cannon, which consists of a spring compressed to a…

Q: A bullet with a mass m, = 11.5 g is fired into a block of wood at velocity v, = 245 m/s. The block…

A: As per guidlines, the first question has been answered.

Q: 1. A block of mass 5 pounds is placed at the end of a spring, of elastic constant 900 N/m,…

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Q: A mass on a spring rests on a horizontal frictionless surface. You displace it 8.00 cm 2) from…

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Q: A 25 kg child bounces on a pogo stick. The pogo stick has a spring with spring constant 2.0 x 104…

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Q: A block attached to a spring with spring constant 20 N/m is initially at rest on a frictionless…

A: The block undergoes simple harmonic motion (SHM). The equation of motion for the block of mass m…

Q: A block of mass m = 3.80 kg slides along a horizontal table with velocity vo = 3.00 m/s. At x = 0,…

A: The problem is based on the concept of Simple harmonic motion. When the block reaches the spring…

Q: The 15-kg block A slides on the surface for which μk = 0.3.The block has a velocity v = 12 m/s when…

A: Let: the mass of the block A be, mA=15kg and the velocity when it is about to hit the box, v0=12m/s…

Q: When the 5 kg mass is released from rest, it slides down the incline and has a perfectly inelastic…

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Q: Block A (mass = 5.00 kg) is attached to a spring. Initially the spring is in its equilibrium…

A: Mass of block A is MA = 5 kg Mass of block B is MB = 2 kg The stretching in the spring at…

Q: Consider a system of two toy railway cars (i.e., frictionless masses) connected to each other by two…

A: Given Mass m1                 = 4 kg Mass m2                 = 2 kg Spring constant k1 = 32 N/m…

Q: A pendulum with a massless string of length L has attached at its end a particle of mass 65.00 kg.…

A: Draw the free-body diagram of the particle. Determine the length x.

Q: After driving a portion of the route, the taptap is fully loaded with a total of 26 people including…

A: Given, The taptap is fully loaded with 26 people.The average mass of one person Mass of 26 people…

Q: Block A in (Figure 1) has mass 0.800 kg, and block B has mass 2.85 kg. The blocks are forced…

A:

Q: A child bounces in a harness suspended from a door frame by three elastic bands. (a) If each elastic…

A: A child in harness suspended from the door frame by three elastic bands.Given:

Q: At its lowest point it strikes and attached itself to a mass of 5.0 kg. Both objects remaining…

A: Kinematics.

Q: Imm A ↑ h smooth Brough C S 4 A 5-kg block is held in place against the spring by a 67-N horizontal…

A: The initial compression x of the spring is given by, F=kx⇒x=Fk   Also the block starts with a…

Q: We are going to create a model for the forces acting when climbing with mass 'm' while falling on a…

A: Given:      vy=dydt⇒d2vdt2=vdvdy From the given problem: 1. The initial speed of the climber=0 2.…

Q: the figure, a block weighing 16.1 N, which can slide without friction on an incline at angle e =…

A: Given values:- Block weight,(W)=16.1 N ---(1) Angle,(θ)=50 0 ----(2) Unstretched length,(l)=0.550 m…

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.