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 car with mass m = 0.30 kg is attached to two springs, as shown in the figure below. The springs…

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Q: A vertical spring with elastic constant 95 N/m is compressed by 25 cm, and an object of mass 350 g…

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Q: A 1.30-kg object slides to the right on a surface having a coefficient of kinetic friction 0.250…

A: using conservation of energy initial kinetic energy = elastic spring potential energy + frictional…

Q: given by u = 0.400. How far has the spring compressed by the time the block first momentarily comes…

A: Here some of the initial kinetic energy changes into potential energy of spring and some will…

Q: In the figure, a block of mass m = 3.30 kg slides from rest a distance d down a frictionless incline…

A: Mass (m) = 3.3kg   θ = 35.0 ˚ ( Angle of inclination)   Spring constant (k)= 450N/m  Compression (x)…

Q: A 43-kg girl is bouncing on a trampoline. During a certain interval after leaving the surface of the…

A: Given- Mass of girl m=43 kg Initial kinetic energy  KEinitial=490 JKEfinal=250 J

Q: A block of mass m-2.95 kg slides along a horizontal table with speed v0-6.00 m/s. At x=0, it hits a…

A: Answer the following question

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

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Q: A block of mass m = 4.45 kg slides along a horizontal table with speed up = 6.50 m/s. At x = 0, it…

A: Given data: The mass of the block is m=4.45 kg The initial speed of the mass v∘=6.50 m/s The spring…

Q: A vertical spring with a spring constant of 360 N/m is mounted on the floor. From directly above the…

A: Spring constant (k) = 360 N/m Mass of block (m) = 0.30 kg Compression in the spring (y) = 3 cm =…

Q: Problem 10: A block of mass m = 0.22 kg is set against a spring with a spring constant of k = 513…

A:

Q: A ball with m=0.1 kg swings from point 1 to point 3. Assuming that point 3 is 2 m above the lowest…

A: m=0.1 kgh=3 mT =10 N

Q: A 25-kg wood block is sliding on a surface with a coefficient of kinetic friction µyk= 0.706. The…

A: Given : Mass of wooden block, m = 25 kg Coefficient of kinetic friction, μk = 0.706 Velocity of the…

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

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Q: 1) A daredevil plans to bungee jump from a balloon 73.0 m above a carnival midway. They will use a…

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Q: A block of mass, m 3.30 kg, slides along a frictionless surface. It starts with a velocity, vo 8.50…

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Q: OM The coefficient of friction is given by μ = 0.100. How far has the spring compressed by the time…

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Q: 2M Two blocks, of masses M = 4.0 kg and 2M, are connected to a spring of spring constant k = 150 N/m…

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Q: A 0.100 kg block of ice is placed against a horizontal, compressed spring mounted on a horizontal…

A: When the block of ice is released from the spring, the spring potential energy is equal to the…

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: 3 kg block is placed on frictionless horizontal surface next to a spring, sticking out horizontally…

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Q: A 0.300-kg block along a horizontal track has a speed of 1.60 m/s immediately before colliding with…

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Q: A 3.00 kgkg block on a horizontal floor is attached to a horizontal spring that is initially…

A: Given value--- mass = 3 kg. compressed length = 0.036 m. force constant = 845 N/m. coefficient of…

Q: A 2.0 kg ball is launched by means of a vertically oriented spring with spring constant k = 16.0…

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Q: A block with a mass m is initially compressing a spring by x1 on a horizontal floor with no…

A: Mass = mInitial compression = x1spring constant = kFriction force = fr = 0 NewtonTotal distance =…

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: A 35-kg girl is bouncing on a trampoline. During a certain interval after leaving the surface of the…

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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.