In the figure provided, a 63.6 kg woman is running at a 16.0 kg sled at a speed of 12.1 m/s. After she jumps on the sled, she travels down a 68.6 m long hill that is at an angle of 21.1° and the spring at the bottom compresses by 2.70 m. What is the spring constant of the spring?

Q: A 5.00×105-kg subway train is brought to a stop from a speed of 0.500 m/s in 0.400 m by a large…

A: Given: mass of subway, m = 5 × 105 kg initial speed, u = 5 m/s final speed, v = 0 stopping distance,…

Q: A 1200 kg car rolling on a frictionless horizontal surface with a speed of 66 km / h collides with a…

A:

Q: A 3.49-kg box placed against a horizontal spring with a force constant ofk= 228.7 N/m compresses the…

A:

Q: A 1000 kg safe is 2.0 m above a heavy-duty spring when the rope holding the safe breaks. The safe…

A:

Q: A box of mass m = 14.0 kg slides down a frictionless 30 degree ramp, starting from rest. After…

A: Given          mass Of box ( m) = 14 Kg        angle = 300       d = 3.8 m     Force constant of the…

Q: A 3.31-kg box placed against a horizontal spring with a force constant of k = 236 N/m compresses the…

A:

Q: The spring in a retractable ballpoint pen is 1.8 cm long, with a 260 N/m spring constant. When the…

A: Given data K=260 N/mxi=1 mmxf=6 mm

Q: spring laying HORIZONTALLY on a flat surface is compressed 4.5 cm (convert to m), and a ball is…

A: Given:-  A spring laying in the horizontal.  Displacement of the compressed spring x = 4.5 cm =…

Q: A 4.00 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…

A: Given data:  Mass (m) = 4.00×105 kg Final velocity (v) = 0 m/s Initial velocity (u) = 0.500 m/s…

Q: compressed 3.0 cm. How far must you compress a spring with twice the spring constant to store the…

A: compression in 1st  spring     x1 = 3.0 cm = 3.0 cm

Q: Robert weighs 650N and is sliding down a frictionless 15 m tall hill. He starts at the top with a…

A:

Q: An elevator weighing 1,500 kg falls due to its broken cables, as shown in the figure. With a speed…

A: Given- Elevator weighing mg= 1,500×10 kg  Initial speed v1=3 m/s2 final speed v2=0 m/s2 frictional…

Q: A 4 kg block is initially at rest on a frictionless ramp. The block starts 2 meters above the…

A: Given : mass, m = 4 Kg ; Height, h = 2 m  Spring constant , K = 20 N/m  Find : (a) Maximum distance…

Q: A 6.50 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.600 m by a large…

A:

Q: During a crash test, a 900kg car moving at 25 m/s hits an uncompressed horizontal spring with a…

A:

Q: A block of mass m = 7.4 kg is released from rest at a height of H = 7.0 m on a curved frictionless…

A:

Q: position of the SPRING and dropped. It lands on the spring which compresses under the load. a) How…

A:

Q: When an 8.00-kg stone is at rest on a spring, the spring is compressed by 10.0 cm. The stone is…

A: Given:Mass of the stone, m = 8.00 kgcompressed upto equilibrium by, x1 = 10.0 cm = 0.100 mcompressed…

Q: A 1000 kg safe is 2.0 m above a heavy-duty spring when the rope holding the safe breaks. The safe…

A: According to the conservation of energy, the loss of gravitational potential energy is equal to the…

Q: A 4.50 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.600 m by a large…

A: Given data:  Mass (m) = 4.50×105 kg Speed (v) = 0.500 m/s Distance (x) = 0.600 m Required: The force…

Q: A 1100 kg safe is 2.0 m above a heavy-duty spring when the rope holding the safe breaks. The safe…

A: The gravitational potential energy of the safe is transferred to the spring as elastic potential…

Q: A 0.31-kg coffee cup is attached to a suspended spring and slowly lowered, stretching the spring by…

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Q: A 10 kg runaway grocery cart runs into a spring with spring constant 250 N/m and compresses it by 60…

A:

Q: A 5.00×105-kg subway train is brought to a stop from a speed of 0.500 m/s in 0.400 m by a large…

A:

Q: The spring in a retractable ballpoint pen is 1.8 cm long, with a 300 N/m spring constant. When the…

A: The expression for find required energy is U=12kx2

Q: You have a spring of spring constant k, and a block of mass 0.200 kg. You set the spring up…

A: The mass of the block = 0.2 kgThe spring constant = k N/mSpring is compressed by 0.3 mpotential…

Q: The spring constant for the spring in a special cannon is 1800 N/m. In cocking the cannon, the…

A:

Q: A 5.00×10-5 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.400 m by a large…

A: mass, m = 5 x 10-5 kg  initial velocity, u = 0.5 m/s  final velocity, v = 0 Compression, y = 0.4 m

Q: The spring in a retractable ballpoint pen is 1.8 cm long, with a 320 N/m spring constant. When the…

A:

Q: A 1200 kg safe is 1.9 m above a heavy-duty spring when the rope holding the safe breaks. The safe…

A: According to the conservation of energy, the loss of gravitational potential energy is equal to the…

Q: A 0.45 kg box approaches the ramp at an unknown velocity. It travels up the 0.04 meters high ramp…

A:

Q: A 5.0 g marble is fired vertically upward using a spring gun. The spring must be compressed 8.0 cm…

A: Given,

Q: gure (a) applies to the spring in a cork gun (Figure (b)); it shows the spring force as a function…

A:

Q: In the vault event, the gymnast begins her routine by jumping on a springboard, a platform with…

A: m=Mass of the gymnast=45 kgh=Height of the jump=0.6 mx=Displacement of the springk=Spring…

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.