1) An ore car of mass 42000 Kg starts from rest and rolls downhill on tracks from a mine. At the end of the tracks, 23 m lower vertically, is a horizontally situated spring with constant 3x10^5 N/m. The acceleration of gravity is 9.8 m/s^2 ignore friction. How much is the spring compressed in stopping the ore car? Answer in units of m.

Q: 1. A 25.0 cm long spring is hung vertically from a ceiling and stretches to 29.5 cm when a 7.00 kg…

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Q: A spring with spring constant 94 N/m and rest length 27.2 cm is used to pull a wooden block of…

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: Problem 10: A block of mass m = 0.22 kg is set against a spring with a spring constant of k = 513…

A: mass (m) = 0.22 kg spring constant of first spring (k1) = 513 N/m Compression in first spring (x1) =…

Q: A block of mass ? = 300 g is released from rest from the top of a frictionless ramp. At the bottom…

A: Given Data : The mass of the block is given as m = 300 g. The spring constant of the spring is given…

Q: 4. The 10kg block is released from rest on the horizontal surface at point B, where the spring has…

A: Given: Mass of block, m = 10 kg Spring stretched for distance = 0.5 m Coefficient of kinetic…

Q: A massless spring (with force constant k = 181 N/m) connects a wall and a block of wood. The system…

A: spring constant (k)= 181 Nmmass of block (M) = 55.9 g mass of bullet (m) = 5.7 g compression in the…

Q: A 29.0 cm long spring is hung vertically from a ceiling and stretches to 34.5 cm when a 7.00 kg mass…

A: Given : Length of the spring, L=29 cm=0.29 m stretched length of the spring =34.5 cm=0.345 m…

Q: 0.350 kg block of wood rests on a horizontal frictionless surface and is attached to a spring (also…

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Q: A 25.0 cm long spring Is hung vertically from a celling and stretches to 30.5 cm when 7.00 kg mass…

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Q: a box of mass  m = 9.20 kg is sliding across a horizontal frictionless surface with an initial speed…

A: According to the law of conservation of energy , energy can neither be created nor destroyed but can…

Q: 1. (30 pts) As shown in Figure 1, a block with mass m 3.5 kg is placed on a horizontal surface at…

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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: *9. ssm In 0.750 s, a 7.00-kg block is pulled through a distance of 4.00 m on a frictionless…

A: Given data: TIme, t = 0.750 s Mass, m = 7 kg Distance, d = 4 m Spring constant, k = 415 N/m

Q: A horizontal spring (with a spring constant of 1000 N/m) is compressed by some amount, A, by a mass…

A: GIVEN: Force constant of spring = 1000N/m mass = 3kg velocity of mass = 15m/s

Q: A bullet with mass 4.91 g is fired horizontally into a 2.129-kg block attached to a horizontal…

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Q: 4. The 10kg block is released from rest on the horizontal surface at point B, where the spring has…

A: As per our answering guidelines, we will be answering the first question. Kindly post the other…

Q: 3.45-g bullet embeds itself in a 1.67-kg block, which is attached to a spring of force constant 785…

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Q: A block of mass m = 4.90 kg slides along a horizontal table with velocity vo = 4.00 m/s. At x = 0,…

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Q: A 1.63 kg ball rolls on a frictionless horizontal surface at 5.5 m/s and collides with a stationary…

A: Mass of the ball m1=1.63 kg, velocity of the ball before collision u=5.5 m/s, velocity of ball after…

Q: A 0.250 kg air-track glider is attached to each end of the track by two coil springs. It takes a…

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Q: If the coefficient of kinetic friction between the 10kg crate and the plane is =0.2, determine the…

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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 puck is made up of two parts connected by a compressed spring. mi-0 3001kg [R] SPRING Ax=0:0624 m…

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Q: A 29.0 cm long spring is hung vertically from a ceiling and stretches to 36.3 cm when a 7.00 kg mass…

A: solution as

Q: Question 1 k=163 N/m m=0.2kg d A A mass of m=0.2kg moves on a horizontal surface. The coefficient of…

A: Givenm =0.2 kgμk =0.1 Initial velocity =v0 =3.21 m/sFinal velocity = v' = 0.9 v0K =163 N/m

Q: A 15.4-kg block and a 31.8-kg block are resting on a horizontal frictionless surface. Between the…

A: Given:-  The mass of the blocks is m1= 15.4 kg and m2= 31.8 kg  Initially, both the block are on the…

Q: A block of mass m = 5.4 kg slides on a rough surface and moves toward a spring with a spring…

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Q: A massless spring (with force constant k = 190 N/m) connects a wall and a block of wood. The system…

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Q: A child’s toy consists of plastic attached to a spring. The spring is compressed against the floor…

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Q: 7. An object of mass m is compressed against a horizontal and ideal spring of constant k by amount…

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Q: A massless spring (k=375N/m) is pulled by 0.3m from its natural length and released. The spring is…

A: Spring constant of spring k=375N/m pulled distance A=0.3m mass of the attached block m=0.5kg maximum…

Q: A student proposes a design for an auto-mobile crash barrier in which a 1700-kg sport utility…

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Q: A massless spring (with force constant k = 194 N/m) connects a wall and a DIOCK of wood. The system…

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Q: I just need the last part of the question

A: According to work energy theorem, change in kinetic energy is equal to work done by spring and…

Q: 37 - What is the spring constant of a spring that stores 36 J of elastic potential energy when…

A: Energy stored  (E) = 36 JoulesStretching of spring (d) = 8.5 cm = 0.085 m

Q: 8. A vertically mounted spring (k = 800 N/m) is compressed by 21.0 cm relative to its unstrained…

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Q: Examine the situation below. Using the information provided, determine... a. The speed at point A.…

A: We need to apply the law of conservation of energy to solve the given problem.

Q: A 31.0 cm long spring is hung vertically from a ceiling and stretches to 37.7 cm when an 8.00 kg…

A: Let the spring constant of the spring be denoted by k.Let the initial and final lengths of the…

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

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Q: Can someone help with this thanks!

A: a) The spring constant is, Thus, the required work done is,

Q: 2) On a horizontal table, a 2 kg block strikes a stationary unstretched spring of constant 400 N/m…

A: According to the conservation of energy, KE=PE+W12mv2=12kx2+Ffx12mv2=12kx2+μkmgx12mv2-12kx2=μkmgx…

Q: The system shown in the figure is in equilibrium. Masses mj& m2 are 2 kg and 8 kg respectively.…

A: Draw the free-body diagram of the 2 kg mass.

Q: A 31.0 cm long spring is hung vertically from a ceiling and stretches to 36.9 cm when an 8.00 kg…

A: Given : Length of a spring (L) = 31 cm = 0.31 m Stretch length (∆L) = 36.9 cm = 0.369 m Mass (m) = 8…

Q: A light spring with force constant 3.00 N/m is compressed by 7.60 cm as it is held between a…

A: If we compress or stretch a spring having spring constant k, against its equilibrium position then…

Q: A 29.0 cm long spring is hung vertically from a ceiling and stretches to 37.5 cm when an 8.50 kg…

A: Given:Initial length of the spring = 29.5 cmWeight from the spring = 8.5 kg weightFinal length of…

Q: As shown in the figure below, m1=2 kg moves with velocity of 5 m/s on a frictionless surface, and…

A: Here as there is no mention of elasticity, we take the collision as an elastic collision. In an…

Q: (v) In the figure-5.92 shown, the springs are unstretched. The left spring is compressed by 2A and…

A: The oscillation position of the spring is, x=Acosωt=2Acosωt…

Q: When a 308.3-kg refrigerator is loaded onto a 1200-kg car, the springs of the car compress by 1.39…

A: Given  Mass of car (mc)= 1200 kg Mass of 1st refrigerator (mr)= 308.3 kg Compression in spring (x)=…

Q: A package of mass mmm = 6.00 kgkg is released on a 53.1∘∘ incline, a distance DDD = 4.00 mm from a…

A: Solution: Given that package of mass m = 6.00 kg θ = 53.1 ° D = 4m  spring with force constant k =…

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.