A spring of natural length 30 cm is attached to the floor directly below an identical spring that is attached to the ceiling. The ceiling is at a height of 3 m above the floor. A ball of mass 3 kg and radius 5 cm is projected vertically downwards with a speed of 10 m s-1from midway between the two springs. (a) If the lower spring is compressed to a length of 10 cm when the ball first comes to rest, calculate the spring constant of the springs. (b) After bouncing off the lower spring, the ball impacts the upper spring. Calculate the length of the upper spring when the ball comes to rest for the second time.

Q: An clastic string AB of natural length 2 m has the end A fixed. A load of mass 4kg is attached to…

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Q: A 3.0 kg block slides on a horizontal rough surface toward a spring with k = 500 N/m. O coefficient…

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Q: A bungee jumper, whose mass is 74 kg, jumps from a tallplatform. After reaching his lowest point, he…

A: Mass of the person is The time taken by the person to reach the lower point two more times is…

Q: A block of mass m = 1.5 kg initially moving to the right with a speed of 3 m/s on a frictionless,…

A: Given data:  Mass (m) = 1.5 kg Initial speed (v) = 3 m/s Spring constant (k) = 400 N/m Final speed…

Q: You have a light spring which obeys Hooke's law. This spring stretches 2.34 cm vertically when a…

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Q: You have a light spring which obeys Hooke's law. This spring stretches 2.62 cm vertically when a…

A: We have givenSpring streches to distance (x)=2.62 cm=0.0262 mMass of object (m)=2.6 kg

Q: a 900 kg car moving at 30 km/hr hits an initially uncompressed horizontal ideal spring with constant…

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Q: You have a light spring which obeys Hooke's law. This spring stretches 2.96 cm vertically when a…

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Q: You have a light spring which obeys Hooke's law. This spring stretches 2.84 cm vertically when a…

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Q: A Vertical spring (1gnore its mass), Whose spring constant 1s 900 N/m, is attached to a table and is…

A: Given data: Spring constant of the spring is, k= 900 N/m The displacement of the spring is, x= 0.150…

Q: A fully compressed spring shoots a block up a 60 degree slope, given k = 1400N/m, m = 0.2kg, and…

A: slope = 60ok = 1400 N/m m = 0.2 kg x = 0.1 m ( compression)

Q: A spring of force constant k is set into a hole in a table and a light platform is attached to the…

A: Par A. Mass = m  Spring constant = k Acceleration due to gravity = g Compression = D Maximum height…

Q: You have a light spring which obeys Hooke's law. This spring stretches 2.54 cm vertically when a…

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Q: The train rolls without friction toward the bumper/spring. Given the initial speed v, how much will…

A: Required :  The correct option

Q: The adjacent figure shows two configurations () of a spring (j) that is hung (les) vertically. In A,…

A: solution is given as

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A: Subpart (a): When the spring is stretched by the object, the weight of the object provides the…

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A: The spring force is given as Fs=kx…

Q: A box (mass = 100 g) is initially connected to a compressed (x = 80 cm) spring (k= 100 N/m) at point…

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Q: A block of mass m = 0.3 kg, initially at rest, is dropped onto amassless spring a distance h below.…

A: The objective of this question is to find the initial height 'h' from which the block was dropped…

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Q: In terms of X, how much is compressed to store twice as much potential energy and half as much…

A: Elastic potential energy,

Q: when a 4.00-kg object is hung vertically on a certain light spring that obeys Hooke's law, the…

A: Given that- M=4.00kg Spring stretched(x) =2.50cm=2.50*10^-2 To determined that - a) how far will the…

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A: We can assume that it follows the Hooke's Law behaviour which is applicable only if mass of the…

Q: b) in the equilibrium position. (c) Discuss the difference between Hooke's law in the form F = -kx…

A: (b) Given: The length of the spring is 20 cm. The spring constant is 5000 Nm. The amount of…

Q: A 10.0-kg block is released from rest at a rough 5.0 m long 30oincline. The coefficient of kinetic…

A: Data Given ,  Mass of the block ( m ) = 10 kg Released from ( s ) = 5 m Angle (θ) = 30° Coefficient…

Q: A uniform steel wire of length 3 m and area of cross section 2 mm² is extended through 3 mm.…

A: To find- Energy stored (E)=? Given- Length (L)=3 m Area (A)=2 mm2=2 ×10-6 m2 Extension (l)=3…

Q: (9%) Problem 5: A block of mass m= 0.37 kg is set against a spring with a spring constant of k1 =…

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Q: 4) A ball of mass m is pressed against a spring mounted platform a distance d. The ball is then…

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Q: A 8 kg box moving at 5.52 m/s on a horizontal, frictionless surface runs into a light spring of…

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Q: A vertical spring with constant 41.16 N / m rests in its equilibrium position hanging from the…

A: Given data, Spring constant,  k = 41.16 N/m Mass hung, m = 1.68 kg Displacement of the particle…

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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.