A man of height h0 = 2 m is bungee jumping from a platform situated a height h = 25 m above a lake. One end of an elastic rope is attached to his foot and the other end is fixed to the platform. He starts falling from rest in a vertical position. The length and elastic properties of the rope are chosen so that his speed will have been reduced to zero at the instant when his head reaches the surface of the water. Ultimately the jumper is hanging from the rope, with his head 8 m above the water. a) Find the unstretched length of the rope. b) Find the maximum speed and acceleration achieved during the jump.

Q: A glider of mass 0.240 kgkg is on a frictionless, horizontal track, attached to a horizontal spring…

A: Potential energy of a spring stretched by some distance 'x' is 12kx2 Kinetic energy is given by the…

Q: In the figure, a 2.7 kg block is accelerated from rest by a compressed spring of spring constant 660…

A: the vertical forces are normal force (up) and gravity force (down).  As Vertical component = 0

Q: The motion of a crate can be divided into two stages. Stage 1 (A-B): The crate with mass m= 4 kg is…

A:

Q: A 1500-kg car moving at 25 m/s hits an initially uncompressed horizontal spring with spring constant…

A:

Q: Bumper car "A' , with mass 54.0 × 104 kg, coasts across a level track at 4.50 m/s when it collides…

A: Given Mass of car A is mA= 54.0 × 104 kg Initial velocity of car A is vA=4.50 m/s maximum…

Q: An object with mass m = 8.0 kg is released from rest from a height H = 11 m as shown in the figure.…

A:

Q: Problem 7: A small block of mass M = 450 g is placed on top of a larger block of mass 3M which is…

A: Given, Mass= 0.45Kg spring constant, k=2.8N/m maximum length of stretched spring= 4.5 cm =0.045m…

Q: 4. The 10kg block is released from rest on the horizontal surface at point B, where the spring has…

A: Given: Mass of block, m = 10 kg Spring stretched for distance = 0.5 m Coefficient of kinetic…

Q: A system contains an ideal horizontal spring, with an un-stretched length of 8 N/cm. Calculate the…

A: Write the given values with the suitable variables. x1=29 cm=0.29 mx2=32 cm=0.32 mk=8 N/cm=800 N/m…

Q: Fleas are agile, wingless insects that feed on the blood of their hosts. Although they are typically…

A: Write the given values with the suitable variables. m=4.6×10-4 kgv=1 m/sHere, m is the mass and v is…

Q: A bullet with mass 4.59 g is fired horizontally into a 1.966-kg block attached to a horizontal…

A:

Q: A bullet with mass 4.91 g is fired horizontally into a 2.129-kg block attached to a horizontal…

A:

Q: An inclined plane of angle e=20° has a spring of force constant k=500 N/m fastened securely at the…

A:

Q: A 1.2 kg block is held at rest against a spring with a force constant k = 750 N/m. Initially, the…

A:

Q: In designing a spring loaded cannon, determine the spring constant required to launch a 1.0 kg ball…

A: Given data: Displacement of the ball x=5 cm =0.05m Mass of the ball m=1.0 kg Initial speed v=1.2 m/s

Q: A mass m = 16 kg rests on a frictionless table and accelerated by a spring with spring constant k =…

A:

Q: A 0.75 kg block is held at rest against a spring with a force constant k=730 N/m. The spring is…

A: Given data The mass of the block is: m = 0.75 kg The spring constant of the spring is: k = 730 N/m…

Q: A block of mass 1.6 kg is held against a horizontal spring so that the spring is compressed 17 cm.…

A: The normal reaction acting on the block is: Therefore, the frictional force acting on the block is:…

Q: Question 1 k=163 N/m m=0.2kg d A A mass of m=0.2kg moves on a horizontal surface. The coefficient of…

A: Givenm =0.2 kgμk =0.1 Initial velocity =v0 =3.21 m/sFinal velocity = v' = 0.9 v0K =163 N/m

Q: An object with mass m = 5.0 kg is released from rest from a height H = 11 m as shown in the figure.…

A:

Q: k m A block of mass m = 5.20 kg is being suspended at rest by an extended spring of spring constant…

A: M = 5.2kg  K= 36 N/m  F= 20N  s= 2.45m

Q: A 1.00 kg wooden block is on a level board and held against a spring of force constant 30.0 N/m…

A:

Q: IY A 0.25-kg block along a horizontal track has a speed of 1.5 m/s immediately before colliding with…

A: Spring Potential Energy: P.E=12kx2 explain the sum of the energy saved in the spring when it is…

Q: A block is suspended from a vertical spring which causes it to stretch by 10.0cm from its…

A: The elastic potential energy of the spring is, U=12kx2k=2Ux2 Substitute the values, to find the…

Q: A system contains an ideal horizontal spring, with an un-stretched length of 29 cm and a spring…

A: The work done to stretch the spring is equal to elastic potential energy, which is dependent on the…

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

A:

Q: A bullet with mass 4.74 g is fired horizontally into a 2.131 kg block attached to a horizontal…

A:

Q: When a spring with stiffness constant   k is compressed or stretched by a distance x the elastic…

A: The potential energy stored in the spring due to the deformation of an elastic object is known as…

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 (m) = 120 g = 0.120 kg Spring constant (k) = 430 N/m Spring compressed by distance…

Q: Mickey, a daredevil mouse of mass 0.0201 kg, is attempting to become the world's first "mouse…

A:

Q: A 2.85 kgkg block on a horizontal floor is attached to a horizontal spring that is initially…

A: Apply Newton’s second law at the vertical motion of the block, then n-mg=0n=mg=2.85 kg9.8 m/s2=27.93…

Q: 14) A block of mass 0.20 kg is against a spring compressed 0.20 m with spring constant 70 N/m. When…

A:

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

A:

Q: A block with a mass of 30.0 kilograms (kg) is held against a spring with a force constant of k =…

A: Work energy theorem states that the work done on a particle by the resultant force is equal to the…

Q: The block of mass m 1.60 kg slides along the horizontal rough plane as shown in the figure. The…

A: We solve this problem using conservation of energy

Q: k=325 N/m 3 kg A 50 cm A 3 kg object is attached to a spring in a frictional horizontal plane and…

A: Given data: The mass of object is m=3 kg. The compression in spring is x=50 cm=0.5 m. The spring…

Q: block of mass 3.40 kg is placed against a horizontal spring of constant k = 855 N/m and pushed so…

A: Mass m = 3.40 kg  Spring constant k =855N/m spring compresses by  x = 0.0550 m Elastic Potential…

Q: A bullet with mass 5.00 g is fired horizontally into a 2.000-kg block attached to a horizontal…

A: Given:- A bullet with mass m1 = 5.00 g = 5 x 10-3 kg  A block mass of m2 = 2.0 kg  The spring has a…

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: A ball of mass m is launched straight upward from a spring of constant k compressed by a distance x.…

A: Given Data : The mass of the ball is given as m The spring constant of the spring is given as k The…

Q: A bullet with mass 4.95 g is fired horizontally into a 1.972-kg block attached to a horizontal…

A: Given information: The mass of the bullet (m1) = 4.95 g = 0.00495 kg The mass of the block (m2) =…

Q: A 1.20 kg block slides down a frictionless incline with a slope angle of 42.0°, starting from a…

A:

Q: Q: A block of mass 0.50 kg is placed on top of a light vertical spring of force constant 7500 N/m…

A: Given: M=0.5 kg k=7500 N/m compressed length, x=0.2 m g=10 m/s2

Q: A package of mass mmm = 6.00 kgkg is released on a 53.1∘∘ incline, a distance DDD = 4.00 mm from a…

A: Solution: Given that package of mass m = 6.00 kg θ = 53.1 ° D = 4m  spring with force constant k =…

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.