The potential energy associated with the net force acting on a block of mass m = 0. 100 kg, that is suspended from the ceiling by a spring, is given by ?(?)=2.5?^2+10? (the origin of the y-axis is at the position when the spring is relaxed). Determine the equilibrium position,

Q: To return a special spring to its equilibrium position A force in the form of F = –(5.0 N/m) X - (15…

A: Given F = –(5.0 N/m) X - (15 N/m3) X3

Q: From the figure, the system starts at rest with the spring unextended. Taking m=0.10, when the…

A: Work done by force F on spring is W=12kx2…

Q: When 20 N of force is applied to a spring of natural length 2 m, the resulting compression is 0.5 m.…

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Q: An ideal spring with a force constant (spring constant) of 15 N/m is initially compressed by 3.0 cm…

A: Let initial compression in the spring, xi= 0.03cm Let final compression in the spring, xf=0.03+0.04…

Q: our students of average mass 80 kg each are raised by the elevator in the ESB building, with the…

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Q: A spring with spring constant k = 190 N/m is suspended vertically with its upper end fixed to the…

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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

Q: If it takes 2.00 J of work to stretch a Hooke's-law spring 10.0 cm from its unstressed length,…

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

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

A: Given:  Force, F = 58.6 x4 + 7.2 x2 From x = 0.6 m to 1.8 m  m = 5.2 kg

Q: A spring that has a spring constant of k = 221.0 N/m is oriented vertically, with one end on the…

A: An object is said to be in equilibrium when there is no unbalanced force acting. All the forces…

Q: he block shown lies on a horizontal frictionless surface, and the spring constant is 70 N/m.…

A: To determine,The position(x) of the block in meters.given,spring constant(k) =70 N/mmagnitude of…

Q: A 120 g arrow is shot vertically from a bow whose effective spring constant is 430 N/m. If the bow…

A: Given Data Mass of the arrow is m= 120 g=120 g×1 kg1000 g=12×10-3 kg Spring constant is k=430N/m The…

Q: A 2 kg block is pushed 4.0 m along a horizontal floor by a force of magnitude 25 N at an angle…

A: Apologies. We only answer three parts at a time. we will answer the first three as the exact one…

Q: What should be the spring constant k of a spring designed to bring a 1200 kg car to rest from a…

A: Here, 85km/h=85km/h×1000m1km×1h3600s=23.61m/s

Q: A 0.4 kg mass attached to a spring is pulled back horizontally across a table so that the potential…

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Q: How much energy can be stored in a spring with a spring constant of 500 N/m if its maximum possible…

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Q: An elevator cab of mass m = 500 kg is descending with speed vi = 4.0 ms-1 when its supporting cable…

A: Mass, m = 500 kg Speed vi = 4.0 ms-1  Distance d=12 m Also given that supporting cable begins to…

Q: An object of mass 7.39 kg is moving with an initial kinetic energy 394 Joules. If the object…

A: Given data: Mass of the object, m=7.39 kg Initial kinetics energy of the object, K.Ei=394 J…

Q: A block of weight 3.6 N is launched up a 30 inclined plane of length 2.25 m by a spring with spring…

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Q: Find the work done in joules by gravity as an object of the mass m=11 kg is raised up at constant…

A: Mass, m = 11 kg  Height, h1=29 m and h2=78 m  Acceleration, a = -g = -10

Q: A 13.8 kg crate is pulled up a rough inclinewith an initial speed of 1.5 m/s. The pullingforce is…

A: Let the mass of the crate be denoted by m, the pulling force as F, the force of friction as f , v…

Q: In an amusement park, a 500. -N girl stands on a weighing scale with a lightweight spring of force…

A: Given data: The weight or the force due to gravity acting on the girl, W=500 N. The spring…

Q: The force required to compress a non-standard spring as a function of displacement is given by the…

A: Given  F(x) = -A sin(bx) + kx where  A = 25 N  b = 11 rad/m  k = 68 N/m  Work done from x = 0 to x1…

Q: A 500 g block on a frictionless horizontal surface is attached to a spring with spring constant of…

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Q: A block with mass m = 12.4 kg is pressed against a spring with spring constant 1.285E+4 N/m,…

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Q: What is the elastic potential energy of a garter if you apply 1.5N force and stretched from its…

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

Q: The staples inside a stapler are kept in place by a spring with a relaxed length of 0.119 m. If the…

A: SOlution: Given that k = 48 N/m relaxed lenght x0 = 0.119 m extension lenght x = 0.15 m

Q: A spring with spring constant k = 190 N/m is suspended vertically with its upper end fixed to the…

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

Q: A 3 kg block is pushed along a horizonal surface by a constant force of magnitude 46 N that is…

A: Given:- The mass of the object m = 3 kg A constant force of magnitude 46 N that is acting 30⁰ above…

Q: An object is sliding down a frictionless incline of angle 48.8 degree. Given the potential energy of…

A: Given info: Angle of inclination, θ=48.8° Potential energy of the object at the top, P.E=7.73 J…

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

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

A: Mass of the object m=4 kg Weight of the mass F=mg Stretch in the spring x=2.5 cm=0.025 m The spring…

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

A: K = 25 N/m  L = 30cm  M= 0.2kg

Q: Find his power output, in watts, for the work he does against the gravitational force and air…

A: a) Analyze the following figure. Since the skier is moving at a constant speed, its acceleration…

Q: An electric motor with an output of 15kW provides power for the elevator of a six storey building.…

A: The work done by the motor is, W=F×d                                       F=mg,d=displacement…

Q: The force required to compress a non-standard spring as a function of displacement is given by the…

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Q: A 2 kg block is pushed 4.0 m along a horizontal floor by a force of magnitude 25 N at an angle…

A:

Q: A particle of mass m = 4.00 kg moves along one dimension at a speed v = 2.00 m/s. The particle is…

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Q: A block, mass 3.5kg, compresses a spring (k= 2345N/m) a distance of 25cm and is held at rest there.…

A: Given, mass of the block=3.5 kg For the spring constant K1=2345 N/m x=0.25 sin45=0.18 m By the…

Q: A person holds a bundle of hay over his head for 30 minutes and gets tired. Has he done some work or…

A: Work is done whenever the given two conditions are satisfied: a force acts on the body. there is a…

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: potential energy of a body

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Q: A spring is characterized by a spring constant of 60 N/m. How much potential energy does it store,…

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Q: A box is supported by a 5.2 N vertical force and carried 2.3 m horizontally across a room at…

A: Work done by a force F in displacing an object by some distance 's' is given by- W=F.s=Fscos(θ)…