You have a light spring which obeys Hooke's law. This spring stretches 3.04 cm vertically when a 2.90 kg object is suspended from it. Determine the following. (a) the force constant of the spring (in N/m) N/m (b) the distance (in cm) the spring stretches if you replace the 2.90 kg object with a 1.45 kg object cm (c) the amount of work (in J) an external agent must do to stretch the spring 8.10 cm from its unstretched position J

Q: Two blocks, A and B, are initially in contact and at rest. A spring with spring constant k = 450 n/m…

A: Given data: Two blocks, A and B, are initially in contact and at rest. A spring with spring constant…

Q: When a block is suspended from a vertically hanging spring, it stretches the spring from its…

A: Given : Total length, xf = 5.50 cm = 0.055 m Original length, xi = 4.50 cm = 0.045 m On horizontal…

Q: A 0.750 kg mass hangs from a vertical spring. Assume the mass of the spring is negligible. Note that…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: During spring semester at MIT, residents of the parallel buildings of the East Campus dorms battle…

A: Hooke's law states that the elastic restoring force acts linearly proportional to the displacement.…

Q: A 0.750 kg mass hangs from a vertical spring. Assume the mass of the spring is negligible. Note that…

A: The mass of the object is (m) = 0.750Kg since there is no other force acting on it so…

Q: A weight of 40N is placed on a horizontal plane touching one end of a horizontal spring whose other…

A: Given spring constant k= 5N/mm=5000N/m Weight of block =40N this gives mass m of block =4.08kg ~4 kg…

Q: A horizontal spring has spring constant k= 360 N/m. b) If a 1.85-kg block is placed against the…

A:

Q: A block of mass m=1.4 kg is attached to a spring of spring constant k = 140 N/m. The block has been…

A:

Q: A box with mass m = 4.1 kg slides down a ramp that has the angle θ = 29.76°. The kinetic coefficient…

A: Mass of box m=4.1 kg Ramp angle θ=29.76o Coefficient of friction between box and ramp μ=0.29…

Q: During spring semester at MIT, residents of the parallel buildings of the East Campus dorms battle…

A:

Q: The work required to stretch a certain spring from an elongation of 4.00 cm to an elongation of 5.00…

A:

Q: A block whose mass is 5.7 kg slides on horizontal frictionless table top with a constant speed of 5…

A: Given values: Mass, m=5.7 kg Speed, v=5 m/s Spring constant, K=1282.5 N/m

Q: A 2.75 kg block on a horizontal floor is attached to a horizontal spring that is initially…

A: From conservation of energy,

Q: During spring semester at MIT, residents of the parallel buildings of the East Campus dorms battle…

A:

Q: A 40.0-gram rock is attached to a horizontal spring with a force constant of 11.0 N/m. The spring is…

A: Given: The mass of the rock is 40 g. The spring constant is 11 N/m. The amplitude of the system is…

Q: Two blocks, A and B, are initially in contact and at rest. A spring with spring constant k = 450 n/m…

A: Given that:mA= 5 kgmB=3 kgk=450 N/mμk = 0.60x= 0.65m

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: A certain spring is found not to conform to Hooke’s law.The force (in newtons) it exerts when…

A: The required work done,

Q: a box of mass  m = 9.20 kg  is sliding across a horizontal frictionless surface with an initial…

A: (given)              Mass of box = 9.20 kg              Initial speed = 2.80 kg Spring constant ( k…

Q: Mickey, a daredevil mouse of mass  0.0231 kg,  is attempting to become the world's first "mouse…

A: Given, Mass of the mouse m = 0.0231 Kg Spring force constant k = 57. 5 N/m compress distance x =…

Q: A block of mass 4.70 kg is leaning against a spring of spring constant 5.43⋅102 N/m (see figure). At…

A:

Q: A block with mass e.50 kg is forced against a horizontal spring of negligible mass, compressing the…

A: Given: Compression of the spring  = x = 0.24 m Mass of the block = m = 0.5 kg Distance block covers…

Q: As shown in the figure below, a box of mass m = 6.00 kg is sliding across a horizontal frictionless…

A: mass , m = 6 kg Initial speed , Vi = 3.2 m/s Spring constant , k = 2800 N/m To find = Spring…

Q: box is pressed against a horizontal spring, compressing the spring from its relaxed length. The box…

A: Solution: as given K = spring constant of spring X = distance the spring is compressed M = mass box…

Q: A 3 kg object attached to an ideal massless spring is compressed 1.2 m. If the spring constant is 45…

A:

Q: What is the spring constant of a spring that stores 46 J of elastic potential energy when compressed…

A:

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

A:

Q: (15pts) A block with mass 0.50kg is forced between a horizontal spring of negligible mass,…

A: Given: Block of mass m = 0.50 kg Distance d= 0.20 m  Spring constant k = 100 N/m We have to…

Q: A block of mass 1kg compresses an ideal spring with spring constant k=10 N/m to a maximum…

A: Given quantities: Mass of the block(m) = 1 kg Spring constant of the ideal spring (k) = 10 N/m…

Q: (ou have a light spring which obeys Hooke's law. This spring stretches 3.28 cm vertically when a…

A:

Q: A 2.50-kg block on a horizontal floor is attached to a horizontal spring that is initially…

A: Using work-energy theorem Kf+Uf-Wnc=Ki+Ui0+0+μkmgd=0+12kx2d=kx22μkmg

Q: A mass of 10.0 kg is attached to a spring on a frictionless horizontal surface. The spring constant…

A: We know,

Q: Starting from rest, a 64.0-kg person bungee jumps from a tethered hot-air balloon 65.0 m above the…

A: Given: The mass of the person m = 64 kg,            the height of the hot air balloon above the…

Q: You have a light spring which obeys Hooke's law. This spring stretches 2.24 cm vertically when a…

A:

Q: Calculate the work required to stretch the following springs 0.5m from their equilibrium positions.…

A:

Q: A block of mass m = 6.23 kg is attached to a spring that is resting on a horizontal, frictionless…

A:

Q: An object of mass 1.25 kg at the bottom of a ramp is given an initial speed of 4.45 m/s up the 30.0°…

A: m=1.25 kgθ=300K=Spring ConstantV1=Initial Velocity=4.45 m/sV2=Final Velocity =0μ=0.250s1=1+0.350…

Q: An ideal spring of negligible mass is 12.00 cm long when nothing is attached to it. When you hang a…

A: Length, L = 12cm  mass, m = 3.15 kg  length, L' = 13.40 cm  U = 10 J

Q: When a 2.70-kg object is hung vertically on a certain light spring described by Hooke's law, the…

A: According to Hooke's Law, the force experienced due to a stretched spring is given as…

Q: The magnitude of the force required to compress an imperfect horizontal spring a distance x is given…

A: Given,Magnitude of the force required to compress an imperfect horizontal springFb = kx + bx3mass of…

Q: A weight of mass m is at rest at O when suspended from a spring, as shown. When it is pulled down…

A: mass = m Position at maximum displacement = A and B

Q: Mickey, a daredevil mouse of mass 0.0221 kg, is attempting to become the world's first "mouse…

A: Given: The mass of mouse m = 0.0221 kg. The force constant of spring k = 86.3 N/m compression of…

Q: Hooke's law describes a certain light spring of unstretched length 31.0 cm. When one end is attached…

A: (a) The stretched length is 42.50 cm-31.0 cm=11.5 cm. spring constant is, k=Fx=mgx=6.40 kg9.80…

Q: What should be the spring constant kk of a spring designed to bring a 1300 kg car to rest from a…

A: It is given that,

Q: During spring semester at MIT, residents of the parallel buildings of the East Campus dorms battle…

A: Since, the hose acts like a spring, the work done by the force from the hose on the balloon will be…

Q: A 0.35 kg mass is held against a compressed spring with a spring constant of 89 N/m. The mass is…

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

Q: The work Fsp x dx done by the force exerted by the spring on a mass attached to the end of the…

A: Wоrk  dоne  by  the  sрring  оn  а  mаss  will  be  the  dоt  рrоduсt  оf  the  fоrсe  асting  аnd…

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.