A 1,300 kg car starts at rest and rolls down a hill from a height of 10 m. (a) How much kinetic energy does the car have at the bottom of the hill? (b) How fast is it traveling? (c) The car then collides with a light spring-loaded guardrail. Find the maximum distance the spring is compressed. Assume a spring constant of 1.0 × 106 N/m.

Q: Spiderman uses his spider webs to save a runaway train moving about 60 km/h. His web streches a few…

A: Write the given values with the suitable variables. u=60 km/h=60×10003600 m/sx=500 mm=104 kgv=0 m/s…

Q: A 10 kg block is released from point A in the figure. The track is frictionless, except for the…

A: At point A the body has only potential energy  U=mgY=10 X 9.8 X Y=98Y Joules When body is released…

Q: A 3.1 kg box is sliding along a frictionless horizontal surface with a speed of 1.8 m/s when it…

A: we have to given  mass of block = 3.1 kg   initial speed = 1.8 m / s  because surface is friction…

Q: 1.5 kg block is attached to a horizontal spring, with the other end attached to a wall, and the…

A:

Q: A spring with a force constant of 5000 N/m and a rest length of 3.0 m is used in a catapult. When…

A: The total force exerted on the rock can be obtained as F=12kx2=125000N/m3.0m-1.0m2=10000N

Q: A spring (k = 200 N/m) is suspended with its upper end supported from a ceiling. With the spring…

A: The energy is conserved. Thus, the total initial energy is equal to the total final energy. That is,

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

A:

Q: A 10kg box slides 4.0 m down the frictionless ramp shown in the figure, then collides with a spring…

A:

Q: A block of mass 3.20 kg is placed against a horizontal spring of constant k = 835 N/m and pushed so…

A: solution as

Q: A block of mass 2.00 kg is placed against a horizontal spring of constant k = 775 N/m and pushed so…

A: (a) the elastic potential energy is given by,

Q: A spring with a spring constant of 2130 N/m is compressed 0.166 m from its equilibrium position with…

A: The conservation of energy is , 12kx2=12mv2+mgh

Q: A block of mass 3.80 kg is placed against a horizontal spring of constant k= 765 N/m and pushed so…

A: Given: Mass of the block = 3.80 Kg Spring constant = 765 N/m compressed distance = 0.0750 m

Q: A block of mass 3.20 kg is placed against a horizontal spring of constant k = 725 N/m and pushed so…

A: The elastic potential energy is given by U=12kx2

Q: A block of mass 2.80 kg is placed against a horizontal spring of constant k = 805 N/m and pushed so…

A: a)The required elastic potential is,

Q: A block of mass 2.40 kg is placed against a horizontal spring of constant k = 885 N/m and pushed so…

A: (a) The elastic potential energy of the block spring system is,

Q: The elastic energy stored in your tendons can contribute up to 35% of your energy needs when…

A: Spring constant of tendon: k= 33 N/mm=  N/m= 33000 N/mDuring sprint: stretch in tenon: = 45 mm=…

Q: A 2.00-kg block is pushed against a spring with negligible mass and spring constant k = 400 N/m,…

A:

Q: A block of mass 3.20 kg is placed against a horizontal spring of constant k = 725 N/m and pushed so…

A: (a) The elastic potential energy of the block-spring system is

Q: The fair is in town and one of the attractions is a bungee jump. They are trying to determine the…

A:

Q: (a) The figure below shows an 8.00 kg stone at rest on a spring. The spring is compressed 10.0 cm by…

A: Given, m = 8 kg x = 10 cm

Q: A 7.0-kg box slides along a horizontal frictionless floor at 1.7 m/s and collides with a relatively…

A:

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

A: mass, m = 3.4 kg  spring constant, k = 855 N/m  compression, x = 0.065 m

Q: A certain spring has a length of 47.6 cm when a 4.49 kg mass is hung from it and a length of 58.6 cm…

A:

Q: A spring is compressed 0.100 m and launches a 3.25 kg object across frictionless ice. After some…

A: From work energy theorem, the expression is,

Q: A block of mass 3.20 kg is placed against a horizontal spring of constant k = 745 N/m and pushed so…

A: (a) The elastic potential energy of the block spring system is, U=12kx2=12745 N/m0.0550 m2=1.13 J

Q: A 0.1 kg disk is shot across a frictionless horizontal surface by compressing it against a spring…

A: We can apply the law of conservation of energy in this situation. Initially the disk has all of its…

Q: A block of mass 3.8 kg is placed against a horizontal spring of constant k = 735 N/m and pushed so…

A: (a) The elastic potential energy of the block-spring system is

Q: A spring is connected on one end to a wall and the other is free to be compressed.  The spring…

A:

Q: A 306 g mass slides down a curved incline then collides with a spring. The spring constant of the…

A: Mass (m) = 306 g   = 0.306 kg   Spring constant (k) = 156 N/m  Compression of spring (d) = 0.63 cm…

Q: |25 cm eeeeeeee

A: mass of the block, M=0.5 Kg spring constant of the spring, K=124 N/m mass of the arrow, m=100 gm=0.1…

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

A:

Q: The elastic energy stored in your tendons can contribute up to 35% of your energy needs when…

A: To calculate the difference in maximum stored energy between the sprinters and the non-athletes, we…

Q: A 0.18 kg ladle sliding on a horizontal frictionless surface is attached to one end of a horizontal…

A: Given: Mass of the ladle, m = 0.18 kgSpring constant, k = 500 N/mKinetic energy of ladle when it…

Q: A block of mass 1.7 kg is attached to a horizontal spring that has a force constant 800 N/m as shown…

A: Here, m denotes the mass, k denotes the spring constant, xi denotes the initial compression, and F…

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.