answer the following question "When is the velocity of the mass at a maximum? Justify your answer" using the following formula Kinetic energy in a vertical spring system

Q: A pendulum with a length of 0.75 m and a mass of 4 kg is swinging consistently swinging back and…

A: we will use energy conservation for this problem because at the bottom there will be no potential…

Q: A spring having spring constant 53 N/m pulls a mass of 0.45 kg a distance of 0.72 meters in 0.23…

A: Solution:-

Q: I have a question on how to calculate the kinetic energy of a mass without having a given velocity.…

A: Kinetic energy can be calculated by applying energy conservation:- Ei= Ef => Ki + Ui = Kf + Uf…

Q: oriented spring that is stretched 0.65 meters from its equilibrium position. If the spring constant…

A:

Q: Problem A block of mass of 5 kg is attached to a horizontal spring whose stiffness is 312 N/m.…

A: Given:mass, m =5 kgstiffness constant, k=312 N/mAmplitude, A =6.9 cm = 0.69 mInitial velocity, u=3…

Q: how much would the spring be compressed

A: Given: Mass of the person is m=27 kg Spring constant is k=9150 N/m Note: 1 N=1 kg·m/s2 1 m=100 cm 1…

Q: Kevin is performing an experiment, he places a 1.20 kg apple on a vertical spring and the spring is…

A: Given :  m = 1.20 kg x = 15 cm = 0.15 m k = 1800 N/m

Q: Suppose that 4 J of work is needed to stretch a spring from its natural length of 36 cm to a length…

A: Suppose that 4 J of work is needed to stretch a spring from its natural length of 36 cm to a length…

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: The spring of a spring balance is 10 cm long when there is no weight on the balance. The spring is…

A: Given: initial position of the spring balance (x1) = 0.1 m final position of the spring balance (x2)…

Q: A 34 kg child uses a pogo stick to bounce up and down. The spring constant, k, of the toy equals…

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Q: Consider a spring (k=12.50 N/m) attached to a wall, compressed a distance 0.58 m by a 0.24 kg mass…

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Q: A conveyor belt uses 5 newtons​ [N] of force to move a 34 kilogram​ [kg] box to a velocity of 2.05…

A: We know As force is constant, Work done would be : W=Force.displacement=F.d=5dAnd as box reaches a…

Q: The 45-lb block rests on the rough surface for which the coefficient of kinetic friction is = 0.2.…

A:

Q: A spring has a natural length of 16 cm. If a 25-N force is required to keep it stretched to a length…

A:

Q: Suppose that 5 J of work is needed to stretch a spring from its natural length of 34 cm to a length…

A: (a) The spring constant can be written as E=12kx2k=2Ex2k=25 J10×10-2cm2k=1000 N/m…

Q: Suppose that 2 J of work is needed to stretch a spring from its natural length of 28 cm to a length…

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Q: A 30 kg child uses a pogo stick to bounce up and down. The spring constant, k, of the toy equals…

A:

Q: If the spring shown in the figure below is compressed rather than stretched so that x = -xo,…

A:

Q: Suppose that 3 J of work is needed to stretch a spring from its natural length of 32 cm to a length…

A: spring stretch = 40cm - 24cm = 16 cm = 0.16m. Hence the force acts over a distance 0.16 m, with the…

Q: 1. A vertical spring stores 0.962 J in spring potential energywhen a 3.5-kg mass is suspended from…

A: initial potential energy = U = 0.962 J initial mass = m = 3.5 kg

Q: 69 kgkg driver gets into an empty taptap to start the day's work. The springs compress 2.5×10−2 mm .…

A: Given, Mass of driver m= 69 kgspring compress x = 2.5x10-2mThe spring system obey's Hooke's law,…

Q: We will now determine how the 1/3 rule comes about. Consider a spring of mass ms which is attached…

A: Given,

Q: The 3.8 kg box shown below slides down the ramp from a height of 2.4 m, and strikes the spring.…

A: mass = 3.8 kg h = 2.4 m k = 4.7 N/m

Q: You are given a magical spring which has an odd restoring force, F = -kx², THIS IS NOT THE TYPICAL…

A: We can solve only first 3 subparts since the exact was not specified. Please resubmit the question…

Q: An object with a mass of 7.13 kg is attached to the lower end of an ideal spring and lowered…

A: The given values are, m=7.13 kgk=509 N/m

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 40 kg child uses a pogo stick to bounce up and down. The spring constant, k, of the toy equals…

A: Mass of child (m) = 40 kg Spring constant of the toy (k) = 9500 Nm

Q: A pendulum consisting of a light string and an object (mass 2 kg) is released from a horizontal…

A: Initial PE = K.E at the bottom          mgh =12 mv2              gh = v22                v =…

Q: A 75 kg sprinter accelerates from 0 to 8.0 m/s in 5.0 s. What is the metabolic energy, in kJ…

A: From work energy formula we know, Metabolic energy = change of K.E…

Q: Suppose that 5 J of work is needed to stretch a spring from its natural length of 26 cm to a length…

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Q: Suppose that 4 J of work is needed to stretch a spring from its natural length of 26 cm to a length…

A:

Q: A 2.0 kg object is acted upon by a spring force characterized by the function F=-6x, (this means k =…

A:

Q: assume the object has a mass of 0.55kg. calculate the gravitational potential energy and kinetic…

A: Given: The mass of the object is 0.55 kg. The height of the object is 4.99 m. The speed of the…

Q: A 38 kg child uses a pogo stick to bounce up and down. The spring constant, k, of the toy equals…

A: The child's mass is, m=38 kg The spring constant is, k=8600 N/m When a child balanced himself…

Q: A 31 kg child uses a pogo stick to bounce up and down. The spring constant, k, of the toy equals…

A: Given data: Mass of child is, m=31 kg. Spring constant of toy is, k=8,700 N/m.

Q: A large toy car is puahed horizontally by a spring, and the spring has a spring constant of 135 Nm.…

A: Given Data : The compression in the spring is given as x = 0.055 m. The spring constant of the…

Q: Suppose that 4 J of work is needed to stretch a spring from its natural length of 34 cm to a length…

A:

Q: 0.25 kg mass is placed on a vertically oriented spring that is stretched 0.56 meters from its…

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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.