bungee jumper, an 70-kg man, falls from the bridge at A with the bungee cord secured to his ankles. He falls 20 m before the 17-m length of elastic bungee cord begins to stretch. The 3 m of rope above the elastic cord has no appreciable stretch. The man is observed to drop a total of 44 m before being projected upward. Neglect any energy loss and calculate (a) the stiffness k of the bungee cord (increase in tension per meter of elongation), (b) the maxi-mum velocity vmax of the man during his fall, end (c) his maximum acceleration amax. Treat the man as a particle located at the end of the bungee cord

Q: The 750 mm long spring is compressed by ap plate that can slide on 60 mm long vertical bars as shown…

A: Given,m=45kgheight h=2mv0=5m/sk=25kN/m

Q: factory worker pushed a box horizontally with a force of 500 N along a flat horizontal at a constant…

A: The expression for change in thermal energy due to work done by the frictional force is ∆E=Ffd=μkWd

Q: spring is used to propel a 10.0-g block from rest which then slides across a surface. frictionless…

A: SPRING CONSTANT K= 80 N/m mass of the block = 0.010 kg block rise at height  = 2 sin 30 = 1 m…

Q: A pogo stick has a spring with a force constant of 2.50 × 104 N/m , which can be compressed 10.4 cm.…

A: M= 38 kg  K= 2.5× 104 N/m  x= 10.4 cm = 0.104 m

Q: A car's bumper is designed to withstand a 4.32 km/h (1.2 m/s) collision with an immovable object…

A:

Q: In the figure, a spring with spring constant k = 160 N/m is at the top of a frictionless incline of…

A:

Q: A car's bumper is designed to withstand a 3.60 km/h (1.0 m/s) collision with an immovable object…

A: Given data: The mass of car is m=820 kg. Initial speedo of car is u=1.0 m/s. Displacement of bumper…

Q: A spring (k= 500 N/m) has been compressed by 15.0 cm with a mass M (450-g) at its one end. When the…

A: a)Apply the energy conservation equation when the mass is released from the spring and substitute…

Q: A 65.0 kg base runner begins his slide into second base when he is moving at a speed of 4.4 m/s. The…

A:

Q: A fully compressed spring shoots a block up a 60 degree slope, given k = 1400N/m, m = 0.2kg, and…

A: slope = 60ok = 1400 N/m m = 0.2 kg x = 0.1 m ( compression)

Q: By landing properly and on soft ground, humans have survived from airplanes when their parachute…

A: SOlution:

Q: As shown in the figure below, a 2.25 kg block is released from rest on a ramp of height h. rough…

A: Given Data:- Mass of the block is m=2.25 kg Length of the rough path is l=15.0 cm=15.0cm×1 m100…

Q: A 3kg mass starts from rest and slides a distance d down a frictionless 30° incline (see the…

A:

Q: An object with a mass of M = 10 kg is initially at rest having compressed the spring at A (with…

A: As the spring is compressed at a distance of 0.4 m, the spring has an amount of mechanical potential…

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

A:

Q: A box is given a push across a horizontal surface. The box has a mass m, the push gives it an…

A: Given value--- initial speed ( u ) = vi . coefficient of kinetic friction = muk . final speed ( v )…

Q: Standing on the side of a bridge, a person uses a sling shot pulled back 20 centimeters to shoot a…

A: From the conservation of energy, the elastic potential energy of the slingshot must be equal to the…

Q: A car's bumper is designed to withstand a 3.60 km/h (1.0 m/s) collision with an immovable object…

A: Given, Speed of the car, v = 3.60 km/h = 1.0 m/s mass of the car, m = 950 kg distance traveled, d =…

Q: A pogo stick has a spring with a force constant of 2.50 x 104 N/m, which can be compressed 12.4 cm.…

A: Given data : Force constant of spring,    k = 2.50 x 104 N/mSpring compressed, x = 12.4 cm = 0.124…

Q: A 74-kg base runner begins his slide into second base when he is moving at a speed of 3.1 m/s. The…

A: The mechanical energy lost due to friction is

Q: An Amazon package (2 kg) starts from rest, then begins to slide down a 4 m tall ramp that is…

A: Given,Mass of the Amazon package (m): 2 kgHeight of the ramp (h): 4 mInclined angle of the ramp ():…

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

A:

Q: ar's bumper is designed to withstand a 4.68 km/h (1.3 m/s) collision with an immovable object…

A:

Q: A box of mass m = 9.3 kg is released from rest at the top of a track that is frictionless except for…

A:

Q: A car's bumper is designed to withstand a 3.60 km/h (1.0 m/s) collision with an immovable object…

A: Let the initial speed of the car be u, the final speed of the car be v, the mass of the car be m,…

Q: A car's bumper is designed to withstand a 5.76 km/h (1.6 m/s) collision with an immovable object…

A:

Q: A sphere of mass 7 kg is dropped fro rest from a height oh 2.8 m above the top of a spring of spring…

A:

Q: In the figure, a spring with spring constant k = 180 N/m is at the top of a frictionless incline of…

A:

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.