A ride at an amusement park attaches people to a bungee cord, pulls them straight down to the ground, and then releases them into the air. When they are pulled to the ground, the bungee cord (which has a stiffness constant of 35 N/m) is stretched 100 m beyond its unloaded length. What restraining force is required to hold a man with a mass of 100 kg to the ground just before he is released? (Recall that g = 9.8 m/s2)

Q: A 5 kg box rests on a tabletop. On one side, it compresses a spring with a stiffness of 1000 N/m by…

A: mass of box (m) = 5 kg spring constant (k) = 1000 N/m compression (d) = 1 cm = 0.01 cm

Q: A 4.00 kg block sits on a table top with a coefficient of static friction of 0.470 and a coefficient…

A: Given,

Q: For the same case where the spring is disconnected from the block and the block is sliding down the…

A: Spring is disconnected from the block . Now ,block starts moving down the hill .

Q: One end of a light spring with spring constant k₁ is attached to the ceiling. A second light spring…

A: Given, The springs are attached to each other, to the ceiling, and to the mass as follows: Here the…

Q: 6. A loaded 425 kg toboggan is traveling on smooth horizontal snow at 5.40 m/s when it suddenly…

A: (a) Initial and final velocities if the toboggan is:

Q: A spring hangs vertically next to a ruler.  The end of the spring is next to 15 cm mark on the…

A: Given Data: The mass of spring is, m=2.0 kg The spring constant is, k=51 N/m   The expression for…

Q: A student's backpack, full of textbooks, is hung from a spring scale attached to the ceiling of an…

A: We have to find mass of the bag pack. Given that the download acceleration of the bag pack is given…

Q: A 16-year-old employee working for Southern Virginia College's (SVC) bookstore during the summer…

A:

Q: How much force will their friend feel if they are sitting 7.0 m on the opposite side of the seesaw?…

A:

Q: You push on a spring whose stiffness is 500 N/m, compressing it until it is 3 cm shorter than its…

A:

Q: Determine the acceleration experienced by the crate in m/s2.

A:

Q: A block of mass 2.05 kg is accelerated across a rough surface by a rope passing over a pulley, as…

A:

Q: In the figure, a 5.30 kg block is sent sliding up a plane inclined at 0 = 37.0° while a horizontal…

A:

Q: A 57 kg skier is going down a mountain side, during one particularly steep region their velocity can…

A: Net force =( mass ) (acceleration)  acceleration = time derivative of the velocity

Q: You are tasked with designing the runway on an aircraft carrier. The minimum speed for the F/A-18…

A:

Q: An ornament of mass 46.5 g is attached to a vertical ideal spring with a force constant of 22.4 N/m.…

A: GivenMass (m) =46.5g= 46 .5× 10-3 kgSpring constant k = 22.4 N/mTo be asked thatHow much does the…

Q: A 1216-lb object is launched from the ground with an initial upward velocity of 70 ft/sec. The…

A:

Q: A 1.0 × 10³-kg plane is trying to make a forced landing on the deck of a 2.0 × 10³-kg barge at rest…

A: The frictional force on the plane is, f = 14×weight of plane = 14×1×103×10 = 2500N So, the…

Q: What is the magnitude of the force required to stretch a spring that has a constant of 425 N / m and…

A: given ,    K1 = 425 n/m    K2 = 215 n/m

Q: A 1480 kg pile driver is used to drive a steel I-beam into the ground. The pile driver falls 6.43 m…

A:

Q: You have a light spring which obeys Hooke's law. This spring stretches 2.78 cm vertically when a…

A: Answer: Given: Mass of the object  m=2.70 Kg Spring stretched x=2.78 cm   or   0.0278 m

Q: A spring is fixed to a board so that its hanging from it vertically. A 10 kg mass is attached to the…

A: Given: Mass attached to the spring is m=10kg. The spring is stretched by ∆x=0.2m. Acceleration due…

Q: A 62.0-kg person jumps from rest off a 2.50-m-high tower straight down into the water. Neglect air…

A:

Q: A 1.1 kg box is initially at rest on a horizontal surface when at t = 0 a horizontal force…

A:

Q: A steel beam is suspended from two ropes as it is lifted to the top of a building at a constant…

A: Given: θ1=27.1°θ2=25.7° T1=711 N Free Body Diagram:

Q: 1) A force of magnitude 31 N pushes from the left on a horizontally stacked set of blocks made of…

A:

Q: The coefficient of friction between the wheels of Yamaha motorcycle and the dry pavement is 0.79. An…

A:

Q: A block of mass m = 1kg, to which a spring of spring constant k = 43N/m is attached, stands on a…

A: Given: m = 1 kg  k = 43 N/m  y = 14.8 cm = 0.148 m  g = 9.8 m/s2

Q: A weight of 10 N hangs motionless from a spring. The spring is stretched 0.286 m from its original…

A: Given Weight of object W = 10 N spring streched by ∆x = 0.286 m To Find Force constant of the spring

Q: An American football player pushes horizontally (with a force of 91 N) on a heavy dummy bag…

A: F1 = 91 N F2 = -x3 + 3x2 + 91d1 = 3.8 m d2 = 3.8 m

Q: When landing from a jump, Andy applied an average vertical force of -2500 N to the ground in order…

A: Given: Average vertical force, F=-2500 N Weight, W=-760 N Mass, m=77.5 kg Formula: Newton's Second…

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.