A 2.0-kg mass is attached to a spring with a spring constant of 60 N/m. The mass is displaced by 8.0 cm from its equilibrium position and is then released with a speed of 0.22 m/s. What is the mass’s speed when it is halfway to the equilibrium position?

Q: A 20 kg mass is fastened to a spring of force constant k= 250 N/m by a string passing over a light…

A: Given: The mass of object is m=20 kg. The spring constant is k=250 N/m. The amplitude is A=0.4 m.…

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

A:

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 0.532-kg object oscillates at the end of a vertical spring. As the spring stretches from 0.12 to…

A: Given:              Mass = 0.532 kg           x1= 0.12m → Vx1= 5.70ms-1           x2= 0.23m → Vx2 =…

Q: A 2.0-kg mass is attached to a vertical spring. The mass is held in place with the spring relaxed,…

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Q: A mass of 4 kg on a horizontal surface has an initial velocity of 5 m/s when it hits a spring. The…

A: Given: The value of mass is m=4 kg. The initial velocity of mass is u=5 m/s. The distance of spring…

Q: A vertically mounted spring (k = 850 N/m) is compressed by 24.0 cm relative to its unstrained…

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Q: A 4.00-kg mass is connected to a cable attached to a spring with a spring constant of 75.0 N/m. when…

A: Given, The mass , m = 4.00 Kg Spring constant, k = 75.0 N/m Initial velocity , vi = 2.00 m/s∆x =…

Q: A spring gun with a constant 4 N/m is compressed 2 meters from its natural length and then shoots a…

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Q: A pebble is launched straight up by a spring which was initially compressed by 12.0 cm relative to…

A: Calculation

Q: A mass of 0.83 kg is initially traveling at 6.1 m/s across a horizontal, frictionless surface. It…

A: Since the mass comes to rest, the final kinetic energy of the mass is zero. Apply conservation of…

Q: A weight of 40N is placed on a horizontal plane touching one end of a horizontal spring whose other…

A: Given spring constant k= 5N/mm=5000N/m Weight of block =40N this gives mass m of block =4.08kg ~4 kg…

Q: 4. A 2.0 kg mass shown is placed against a spring compressed by 10.0 cm from its natural state. The…

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Q: A particular spring has a rest length of 5.0 cm when it is not compressed, and a length of 4.5 cm…

A: Given data: The free length of spring is l=5 cm. Length with m=10 kg l'=4.5 cm. Acceleration of…

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: 0.25 kg mass is held against a compressed spring with a spring constant of 2,658 N/m. The mass is…

A:

Q: A 0.26 kg mass is held at rest against a compressed spring with a spring constant of 191 N/m. When…

A: Mass, m = 0.26 kgSpring constant, k = 191 N/mSpeed of mass, v = 6.9 m/s

Q: In the figure provided, a 31.0 g particle is released from rest at x = A. What is the speed of the…

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Q: A block is dropped onto a spring with a spring constant of 30 N/m. The block has a speed of 3.3 m/s…

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

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Q: A 8 kg pendulum is swinging back-and-forth. When the pendulum is at some point between its maximum…

A: Explanation Total energy of the pendulum can be obtained by the sum of potential energy and kinetic…

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

A: The objective of this question is to find the coefficient of kinetic friction between the block and…

Q: A 0.018-kg pellet was initially pushed a distance of 0.020m against the spring of a toy gun. The…

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Q: A mass of 90g is placed on top of a vertical spring constant of 310N/m. The spring is then…

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Q: Starting from rest, a 73-kg person drops a distance of 0.5 m onto an ideal stiff spring of…

A: Given data as per question mass  =  73kg h  =  0.5m x   =  0.08m

Q: A toy gun shoots a dart out from an initial height of 1 m. The gun’s spring has a constant ? = 20…

A: Given. K = 20 N/m M = 0.01 Kg  h = 1m. X is 5cm Concept - conservation of energy and kinematics

Q: A pendulum consists of a 382.3 gram mass on the end of a 3.9 meter long string that swings back and…

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Q: A block of mass m = 2.00 kg is attached to a spring of force constant k = 590 N/m as shown in the…

A: Given Data: Mass of the block (m) = 2.00 kg.Distance (x) = 4.05 cm = 4.05×10-2 m.Force constant (k)…

Q: A block of mass, 1.2 kg is attached and secured to an end of a spring with a spring constant of…

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Q: 7. Indiana Jones, who is 75.0 kg, starts from rest and slides down a stiff rope that exerts a…

A: (a) According to the conservation of energy, 12kx2=12mv2kx2=mv2v=kx2m Substitute the values, to find…

Q: A 20 kg mass is fastened to a spring of force constant k- 350 N/m by a string passing over a light…

A: The conservation of energy is, mgh=12mv2+12kx22mgh=mv2+kx22mgh-kx2=mv2v=2gh-kx2m

Q: An ideal spring is used to stop blocks as they slide along a table without friction. A 0.80 kg block…

A: Given: mass of the block (m) = 0.80 kg                                         speed (v) = 1.6 m/s…

Q: A 320 g object is sitting on a vertical spring that is compressed 4.1 cm from its equilibrium…

A: As the object is sitting on the vertical spring is compressed  x = 4.1 cm = 4.1 *10-2 m initial. So…

Q: A pendulum rope has a length of 2.50 meters and a bob mass of 3.00 kg. It the bob passes through the…

A: Length of the rope,  Mass of the bob,  Speed at the equilibrium position,  Final speed,…

Q: A 3 kg block hangs from a spring with a spring constant of 2  N/m. At t=0s the block is 13  m below…

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Q: truck has a mass of 10,000 kg. It is backing into a loading dock at a speed of 0.5 m/s when it hits…

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Q: What is the elastic potential energy of the block-spring system (in J)? J=? If the block is now…

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Q: A particular spring has a rest length of 10.0 cm when it is not compressed, and a length of 9.cm…

A:

Q: A block of mass 3.40 kg is placed against a horizontal spring of constantk = 855 N/m and pushed so…

A: Given that,Mass : m = 3.40 kg   Spring constant :k = 855 (N/m)  Spring compresses : x = 0.0550 m…

Q: A block of mass 100 g, resting on a frictionless surface, is pushed up against a spring compressing…

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Q: A 250-gram mass is placed on a vertically oriented spring that then is stretched 0.3 meters below…

A: Mass of object, m = 250 gm = 0.250 kg Stretch in spring, y = 0.3 m Spring constent K= 125N/m

Q: A frictionless spring with a 5-kg mass can be held stretched 0.4 meters beyond its natural length by…

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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.