small body of mass m resting on a smooth horizontal plane is attached by threads to a point P (see figure) and, by means of a weightless pulley, to a hanging weight possessing the same mass m. Besides, the small body is also attached to the ceiling by means of a light non-deformed vertical spring of length L0 = 50 cm and spring constant k = 5mg/L0. The thread connecting the small body and point P having been burned, the small body starts moving. Find its velocity at the moment when it is breaking off the plane.

Q: A block of mass m = 4.5 kg is attached to a spring with spring constant k = 830 N/m. It is initially…

A: Given information: The symbols have the same meaning as defined in the question.

Q: A block with a mass of m = 5.00 kg is tied to a massless string and sits on a surface that is…

A: Given: m =5.0 kgθ=30°k=500 N/m

Q: x Initially h is 268mm, Mass = 11 kg, k= 242 N/m and has unstretched length= 135 mm. Find the…

A:

Q: Under some circumstances when two parallel springs, with constants k1 and k2, support a single mass,…

A: Given data :  Weighting W = 20 lb  Spring elongation  x1  = 8 inches  x2 = 6 inches  Downward…

Q: Consider a spring with a spring constant of 180 N/m hanging vertically from the ceiling. If a 8 kg…

A: Given, the spring constant of the spring, k= 180 N/m Mass attached, m= 8 kg

Q: A child is on a swing. At the bottom of the swing’s oscillation, the speed and height above the…

A:

Q: A small sphere is attached to one end of a string of length 1.67 mm. The other end of the string is…

A:

Q: A spring (k888 N/m) is hanging from the ceiling of an elevator, and a 7.1 kg object is attached to…

A:

Q: block of mass m = 3.5 kg is attached to a spring with spring constant k = 790 N/m. It is initially…

A:

Q: A 0.27 kg mass is held against a compressed spring with a spring constant of 84.9 N/m. The mass is…

A: Using work energy theorem Ki+Ui+Wnc=Kf+Uf0+12kx2-μmgx=12mv2+0v=kx2m-2μgx

Q: pendulum consists of a 2.0 m long steel wire supporting a lentil of mass 20 kg. If the pendulum is…

A:

Q: At what angle does the tension in the 0.6 m long pendulum cord become zero if the 1.0 kg pendulum…

A: Length of string(l)= 0.6 m Speed at lowest point(v) = 5 m/s2 Mass(m) = 1 kg

Q: a spring hangs from the ceiling with an unstretched length of x0 = 0.87 m. A m1 = 7.1 kg block is…

A: Unstretched length of spring is Mass of object 1 is Stretched length due to object 1 is Mass of…

Q: You pull on a string with a horizontal force of magnitude Fyb = 43 N that is attached to a block of…

A: Given data: Horizontal force Fyb = 43 N Block's mass mb = 7.5 kg Cylinder mass mc = 5 kg Radius r =…

Q: A small ball is attached to one end of a spring that has an unstrained length of 0.193 m. The spring…

A: Unstrained length L =0.193 m   Stretch in first case x1=0.0176 m   Velocity v=3.98 m/s  Lets take…

Q: I attach a metal block to a vertical spring and it stretches by 6 cm. If I replace the block with…

A: If the mass is double then it also means the weight is also doubled. In this case the weight acts as…

Q: air friction, the system oscillates by swinging back and forth in a vertical plane. If the string is…

A: Solution

Q: The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is…

A: Given Data: Mass of wheel M=20 kg Radius of Wheel R=0.6 m Radius of gyration KG=0.4 m Stiffness…

Q: A 10 kg mass is suspended from a spring having a spring constant of 140 N/m. The mass is moved in…

A: Given,Mass, m = 10 kgSpring constant, k = 140 N/mexternal force, F(t) = 5 sintair resistance, fc =…

Q: A spring (k=856 N/m) is hanging from the ceiling of en elevator, and a 6.3- the spring stretch…

A:

Q: 15.28 The masses of the three blocks are mA = = 40 kg, mg = 16 kg, and mc = 12 kg. Neglect the mass…

A: The forces acting on block A along the moving direction are 1. The component of weight along the…

Q: Two springs are connected each other and suspended vertically. To the bottom one, a body of mass .2…

A: The force due to the mass  m=0.2 kg , which is the weight ,FG=mg will extend the spring system ,…

Q: In the figure, a block weighing 15.1 N, which can slide without friction on an incline at angle θ =…

A: We apply the translational equilibrium to get the equilibrium extension. Then we get the equation of…

Q: A box slides from rest down a frictionless ramp inclined at 36.0° with respect to the horizontal and…

A: According to law of conservation of energy " Energy can neither be created nor be destroyed, only it…

Q: T M k A block of mass m = 23.0 kg is at rest on a frictionless inclined plane with angle 0 = 40.0°.…

A:

Q: A small ball is attached to one end of a spring that has an unstrained length of 0.212 m. The spring…

A: Given:speed ,v=2.88 m/sradius,r=0.212m+0.0160m               =0.2281 m stretch,x= 0.0160 mNow,The…

Q: A block of mass m = 3.5 kg is attached to a spring with spring constant k= 720 N/m. It is initially…

A:

Q: After driving a portion of the route, the taptap is fully loaded with a total of 26 people including…

A: Given, The taptap is fully loaded with 26 people.The average mass of one person Mass of 26 people…

Q: Cylinder, Spring, and Block on Ramp You pull on a string with a horizontal force of magnitude F = 40…

A: Given that the value of mass and spring constant and force and radius. Then We have to determine the…

Q: One end of a light spring with spring constant k, = 1,200 N/m is attached to the ceiling. A second…

A: Given spring constant k1=1200N/m k2= 1600N/m and mass m= 1.5kg We have to find spring stretch,…

Q: When a 2.90-kg object is hung vertically on a certain light spring described by Hooke's law, the…

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Q: A spring AB of natural length 0.5 m and modulus of elasticity 25 N is fixed at A. The other end is…

A: Given:- l1 = original length of spring AB= 0.5 m l2 = original length of spring BC= 0.8 m Y1=…

Q: tion between the block and the plane is μk = 0.13. In the initial position, where the spring is…

A:

Q: A spring 1.50 m long with force constant 471 N/m is hung from the ceiling of an elevator, and a…

A:

Q: The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is…

A: We are given a wheel. This wheel is attached to spring. The initial state is state 1 and final state…

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.