A child's pogo stick stores energy in a spring with force constant of 2.50×10 4 N/m At position A (x A=−0.100m), the spring compression is a maximum and the child is momentarily at rest. At position B ()x B =0, the spring is relaxed and the child is moving upwards. At position C, the child is again momentarily at rest at the to of the jump. The combined mass of child and pogo stick 25.0kg Although the boy must lean forward to remain balanced, the angle is small, so let's assume the pogo stick is vertical Also assume the boy does not band his legs during the motion Calculate the total energy of the child-stick-Earth system. taking both gravitational and elastic potential energies as zero for x=0

Q: A block of mass 0.25kg is placed on top of a light, vertical spring of force constant 5800 N/m and…

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Q: A 2.50 kg mass is pushed against a horizontal spring of force constant 25.0 N/cm on a table with a…

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Q: A block of mass m = 3.98 kg is attached to a spring, which F (N) is resting on a horizontal…

A: Mass of the block is 3.98kg

Q: what is the speed of the box just before it hits the floor?

A: Given data:     The top of table from floor is: h = 99 cm =0.99 m The mass of the box is: m = 6.25…

Q: A 2.4 kg box is sliding along a frictionless horizontal surface with a speed of 1.8 m/s when it…

A: Using energy conservation  KE=PE stored in spring

Q: A block of mass m = 1.5 kg initially moving to the right with a speed of 3 m/s on a frictionless,…

A: Given data:  Mass (m) = 1.5 kg Initial speed (v) = 3 m/s Spring constant (k) = 400 N/m Final speed…

Q: A 5.00 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.500 m by a large…

A: Given data: Mass (m) = 5.00×105 kg Initial velocity (u) = 0.500 m/s Final velocity (v) = 0 m/s…

Q: Iace with d speed of 1.8 m/s when it encounters a spring. (a) Determine the force constant (in N/m)…

A: Mass "m" = 2.6 kg . initial velocity "u" = 1.8m/s .

Q: A 3.20-kg box is sliding along a frictionless horizontal surface with a speed of 1.8 m/s when it…

A: Given value--- mass = 3.20 kg. Speed = 1.8 m/s. We have to find--- (a) Determine the force…

Q: Thanks!!

A: Basic Details According to the conservation of energy, the energy of the spring would be converted…

Q: A large toy car is pushed horizontally by a spring, and the spring has a spring constant of 135 N/m.…

A: Spring constant K = 135  N/m  Let the mass of the toy car be m  Compression in spring is Xi = 0.055…

Q: A 4.00 x 10° kg subway train is brought to a stop from a speed of 0.500 m/s in 0.600 m by a large…

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Q: A toy cannon uses a spring to project a 5.28-g soft rubber ball. The spring is originally compressed…

A: mass = 5.28 g original compression (d) = 4.90 cm k = 8.01 N/m d1 = 15.9 cm f =  0.0323 N

Q: A 4.50 x 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.800 m by a large…

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Q: An elevator car of mass 775 kg falls from rest 2.80 m, hits a buffer spring, and then travels an…

A: Given data: The mass of elevator car is m=775 kg. The distance traveled is h=2.80 m. The…

Q: A toy cannon uses a spring to project a 5.35-g soft rubber ball. The spring is originally compressed…

A: Given that, m =5.35 g =5.35 x 10-3 kg x =4.96 cm =0.05 m k =8.02 N/m d =15.8 cm =0.16 m fk =0.0319 N

Q: If a 4-kg block is placed against the spring and the spring is released, what will be the speed of…

A: NOTE:  You have not mentioned the spring constant of the spring and the initial displacement of the…

Q: An elevator car of mass 815 kg falls from rest 2.70 m, hits a buffer spring, and then travels an…

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Q: 1st 11001, where the cau tom is a a spring of spring constant k = 0.15 MN/m. A safety device clamps…

A: Given data:         Mass of the elevator m =1800 kg         Elevator cab distance d=3.7 m…

Q: A small anvil of mass, m= 10 kg is dropped from rest from a height H= 7.0 m above the top of a…

A: Given A small anvil of mass (m)           = 10 kg The height it from dropped (H) = 7.0 m The spring…

Q: A frictionless spring with a 8-kg mass can be held stretched 1 meters beyond its natural length by a…

A: Force (F) = 70 NMass (m) = 8 kgLength stretched (x) = 1.0 m Initial velocity = 2 m/s

Q: A bax slides from rest down a frictionless ramp inclined at 40.0° with respect to the horizontal and…

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Q: A box slides from rest down a frictionless ramp inclined at 40.0° with respect to the horizontal and…

A: Given- Mass of box m=12 kgspring constant k=4×104 N/mDistance d=3 mInitial velocity vi=0final…

Q: An elevator car of mass 815 kg falls from rest 2.80 m, hits a buffer spring, and then travels an…

A:

Q: If a 4-kg block is placed against the spring and the spring is released, what will be the speed of…

A: GIVEN: Mass of block =4 kg For the spring  Work done =12kx2 where k is spring constant            x…

Q: A block of mass 0.5 kg is initially resting against the spring, compressing the spring at a distance…

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Q: A large toy car is pushed horizontally by a spring, and the spring has a spring constant of 135 N/m.…

A: Given: The spring constant is k=135 N/m. The compression id xi=0.055 m. The velocity is vf=0.75 m/s.…

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: Consider a Hot Wheels™ car with a mass of 121 g, that is pushed by a student along a track so that…

A: Given:   Mass of the car, m = 121 g×1 kg1000 g=0.121 g Speed of the car, v = 5 m/s Spring constant,…

Q: what was the initinal speed of the block?

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Q: You place the spring vertically with one end on the floor. You then lay a 1.60 kg book on top of the…

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Q: Suppose a block of mass 0.9kg is is held against a spring with spring constant 1.0 × 103N/m,…

A: The block of mass m = 0.9kg is held against a spring with spring constant k = 1.0 × 103N/m,…

Q: A cannon with a spring constant of 147 N/m is compressed by 20 cm to shoot marbles of mass 30 g.…

A: Given, spring constant, k = 147 Nm spring compressed by a distance, x = 20 cm = 0.2 m mass of the…

Q: .50 x 10° kg subway train is brought to a stop from a speed of 0.500 m/s in 0.300 m by a large…

A: Given : Mass (m) = 4.50 x 105 Kg Speed (V) = 0.500  m/s  Compression (x) = 0.300 m

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.