5. A mass m moves in one dimension along the positive â axis (x > 0) under the influence of a force whose potential energy is A В U (x) x2 where A and B are positive constants. (a) What is the force, F, associated with this potential energy? (b) Is that force conservative? How do you know? (c) Find any points of stable equilibrium for the mass in this potential. (d) the stable equilibrium points found in the previous part. Find the frequency of small oscillations for the mass about any one of

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A: Here, the spring does not obey Hooke's law. Since the force exerted by the spring is a variable…

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Q: SQU is trying a new particle accelerator design with a mechanical component using a spring that does…

A: Given data: The fore exerted F=37.6x4+32.6x2. Mass of particle is m=3.2 kg.

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A: The elastic potential energy stored in a spring-mass system is given as:P.Es=12kx2wherek is spring…

Q: SQU is trying a new particle accelerator design with a mechanical component using a spring that does…

A: NOTE: As per guidelines, I can solve one question at a time. If you need help with another question…

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A:

Q: A 1.40-kg block slides with a speed of 0.950 m>s on a frictionless horizontal surface until it…

A: Given: Mass of the block = 1.40 Kg Speed of the block = 0.950 m/s Force constant = 734 N/m

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A: Initially, the energy stored in the compressed spring is:

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A:

Q: If a boy drops a wooden block of 1 kg from the top of a roof, both its potential energy and kinetic…

A: (a) Given that, the mass of the wooden block is m =1 kg. Roof is at 25 m above the ground. Initially…

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Q: A block of mass 3.60 kg is placed against a horizontal spring of constant k = 825 N/m and pushed so…

A:

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A:

Q: two objects of mass m and M interact with a central force that varies as 1/r^4 with…

A: as per the question:hereforce between m and M,F=kr4

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A: Introduction: Capacity of doing work is nothing but the energy. In nature, there are various forms…

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A:

Q: The figure gives the one-dimensional potential energy well for a 2.20 kg particle (the function U(x)…

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Q: F = −ax^2 , where a = 3 N/m2 what are the potential energies of the particle at x = 1 m and x = 2 m…

A: The force can be written as the negative gradient of potential and it is F=-∇UU=-∫F·dx…

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A:

Q: A spring has a natural length of 0.0960 m and a spring constant of 360 N/m. How much potential…

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Q: Calculate the work friction if the magnitude of the friction force is 4.81 N and the box slides the…

A: Given data, Magnitude of the given friction force = 4.81 N Slide distance by the box = 4.195 m…

Q: SQU is trying a new particle accelerator design with a mechanical component using a spring that does…

A: Force on the spring for a displacement x f(x)=44.6x5+62.6x3 Work done  for a small displacement dx;…

Q: SQU is trying a new particle accelerator design with a mechanical component using a spring that does…

A: Force = 35.6x4 + 43.6x x1 = 1 m x2 = 1.2 m

Q: 1. Calculate the potential energy of an object with mass m = Use g = 9.803 m's² for the acceleration…

A:

Q: A pogo stick has a spring with a force constant of 2.50×104 N/m, which can be compressed 12.0 cm. To…

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A: Force = (6x -11)î N  potential energy at x= 0 is "Uo"= 24 J .

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A: Given data:  Stretches in garter (x) = 5 mm = 0.005 m Force constant (k) = 3.5 × 102 N/m Required:…

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A: Spring constant , K = 190 N /m Initial position of lower end , yi = 0 m Weight of block , w = 21 N…

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A: Given:-  The potential energy U in Joule of a particle of mass is 4kg moving in the x-y plane is…

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A:

Q: One end of a horizontal spring (k=80 N/m) is held fixed while an external force is applied to the…

A: Spring constant (k) = 80 N/m xf = 0 m xB = 4 cm = 0.04 m

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

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A: As per guidelines, the first three sub-parts (a,b,c) have been answered. Please post the remaining…

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Q: A spring with k = 15 N/m with equilibrium length 30 cm is attached vertically to a surface and then…

A: Spring constant (k) = 15 N/m mass (m) = 0.2 kg Equilibrium length = 30 cm

Q: A spring has a natural length of 0.2350 m and a spring constant of 584 N/m. At what TWO lengths…

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Q: potential energy of a body

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A: Write the given values with suitable variables. m=2 kgU=4x3-2y4 Jx=1 my=2 m

Q: work done by a conservative force in terms of its potential energy.

A: Concept of potential energy  relates work done by a conservative  force with change in potential…

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Q: A spring has a natural length of 13.6 cm and a spring constant of 230 N/m. How much elastic…

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A: Given:-             A 7.0-kg block on a horizontal frictionless surface is attached to a light…