It would be fun to set up an amusement park ride that is a simple pendulum with a very long period that people can ride in. Suppose the pendulum with people in it has a total mass of 1800 kg, and reaches a maximum height of 55m above it's lowest point. What is the maximum velocity of the pendulum?

Q: The motion of a particle is given by x(t)=(8) cm Cos(13t), where t is in s. What is the first time…

A: WE KNOW THAT

Q: A particle of mass 2.0 kg is attached to a spring of spring constant 30 N/m. If the maximum…

A: Given data- mass of particle m=2.0 kg spring constant k=30 N/m maximum acceleration amax=5.8 m/s2

Q: A spring with force constant 311 N/m is in a compressed state, 0.417 m shorter than its relaxed…

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

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Q: This, the length of the pendulum is 2.46 m. Now you start with the pendulum at 18.2 degrees with…

A: Let initial speed is u ( at point A )

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 pendulum of length L oscillates with a frequency of 0.59 Hz near the surface of the  planet…

A: Given value--- initial length = L m. initial frequency = 0.59 Hz. final length = L - 0.42 . final…

Q: A box is attached to a spring and at rest at the equilibrium position of the spring when a bullet…

A: When the body is placed at the surface with coefficient of friction μ, the friction force is given…

Q: 5 meter long pendulum swings between ±50°.  Its mass is 4 kg.  Let’s look at the pendulum when it…

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Q: A student releases the 4kg bob of a 1.9m long pendulum from the position shown. Neglect loss. What…

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Q: A spring-block system consists of a 0.4 kg block attached to a spring with a spring constant of 45…

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Q: You pull a simple pendulum 1.40 m long to the side through a small angle of 3.50º. What is the speed…

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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 4 kg mass attached to a horizontal spring oscillates at a frequency of 3 Hz. At t =0 s, the mass…

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Q: A simple pendulum is made from a 0.642 m long string and a small ball is pulled through a small…

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Q: 4. An 26 g rifle bullet traveling at 250 m/s buries itself in a 4.4 kg pendulum hanging on a 2.4 m…

A: mass of rifle bullet (m) = 26 g = 0.026 kg Speed of bullet (v) = 250 msMass of pendulum (M) = 4.4 kg…

Q: 25. A spring with spring constant of 840 N/m is attached on the left side to a wall and to the right…

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Q: The figure blow shows the kinetic energy of a simple pendulum versus its angle θ from the vertical.…

A: The change in kinetic energy = the change in potential energy  for θ  = 0  to  100  mrad  the change…

Q: A simple pendulum has a period of 4.1 s and an amplitude of 5.0 cm. The mass of the bob is 5 g.…

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Q: A mass m = 6.6 kg hangs on the end of a massless rope L = 2.04 m long. The pendulum is held…

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Q: A pendulum has a length of 3 m and the mass at its end is 10 kg. The pendulum is released from a…

A: Given L=3m, M=10kg, h=0.5m

Q: A 9 kg block is attached to a spring with a spring constant of 5 N/m. While the block is sitting at…

A: Solution: The moment at which the student hits the block with the hammer, the kinetic energy of the…

Q: A 0.87 kg block on a connected to a spring (whose spring constant is 3.80 N/m). The horizontal…

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Q: A horizontal spring on a frictionless surface with a spring constant of 40 N/m is compressed 0.3 m…

A: The spring constant (denoted by k) is given here as 40 N/m. Let x denotes the compression of the…

Q: A student releases the 4kg bob of a 1.9m long pendulum from the position shown. Neglect loss. What…

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Q: This relates the initial speed of the pendulum box to the height that it goes: V =sqrt 2 g h .  The…

A: Given that, the speed can be expressed as, v=2gh

Q: Having successfully survived his first bungee jump, Ron is hanging at rest from the end of the…

A: Ron bounces up and down using the bungee cord. Hence it an application of Simple harmonic motion.…

Q: An object attached to a spring oscillates horizontally without losing mechanical energy. The…

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Q: This relates the initial speed of the pendulum box to the height that it goes: V =squr 2 g h . The…

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Q: is tied to a light string that has a length of 2.80 m. The end of the string is a vertical distance…

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Q: A massive space freighter wants to accelerate at 1g. It takes time for the rocket engines to rev up,…

A: The equation of the acceleration is given by,

Q: The block is at rest as shown. What is the spring constant of the spring as shown, in N/m? Use g =…

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Q: in a conical pendulum shown below, the string of length 2 m can withstand a maximum force of 100 N.…

A: Given:         Length of string(l) = 2m        Maximum tension in the string(Tmax) = 100 N…

Q: A 0.20-kg mass is attached to a string and then released from rest, swinging in an arc as a…

A: The objective of this question is to find the original height from which the mass was released. This…

Q: A pendulum consists of a small rock hanging from a string of length 0.64-m. Pull the rock sideways…

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Q: A horizontal spring on a frictionless surface with a spring constant of 50 N/m is compressed 0.4 m…

A: We will use conservation of energy,

Q: The figure blow shows the kinetic energy of a simple pendulum versus its angle θ from the vertical.…

A: The kinetic energy of the bob is given as

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.