1. A red cart, m, = 12 kg sliding to the right with velocity 1.70 m/s has an elastic collision with a green cart, m2 = with a spring, k = 1400 N/m. Assume no friction between the carts and the ground. a) Find the velocities of the carts after the collision. b) What is the maximum compression of the spring. 5.0 kg sliding to the left with velocity -0.85 m/s. After the collision, the green cart collides

Q: What is the total mechanical energy of this box-spring system

A: Total mechanical energy is 16.25 Joules. Explanation is in next step.

Q: A mass m is released from rest from the top of a frictionless ramp. The mass slides down and…

A: Step 1: Consider the conservation energy of the system Since the ramp is frictionless, there will be…

Q: A 1.42-kg box rests atop a massless vertical spring with  k = 3960 N/m  that has been compressed by…

A: Given data:  Mass (m) = 1.42 kg Spring constant (k) = 3960 N/m Comparison in spring (x) = 13.5 cm =…

Q: OK, once again we have a pendulum, this time of length 1.14 m, which you release from rest at an…

A:

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 block of mass 3.0 kg is pressed against a spring (k = 3,100 N/m) near the bottom of a board…

A:

Q: u are asked to design spring bumpers for the walls a parking garage. A freely rolling 1300 kg car…

A: Given that, Mass of car M = 1300 kg  velocity of car V = 0.63 m/sec  compression in spring  x = 8.1…

Q: A 250 g block on a 30° ramp with uk = 0.17 is pushed against a spring. The constant of the spring is…

A: Draw the free-body diagram of the block, when the block is on-ramp.

Q: 61. A child's pogo stick (Fig. P8.61) stores energy in a spring with a force constant of 2.50 X 104…

A: Given: The force constant of the spring is k = 2.5 x 104 N/m The position of A is xA = - 0.1 m The…

Q: I keep using the same formula and come up with 3.2 seconds. .64m/s x 5seconds?

A: Provided data: Here, u is the initial velocity, a is the acceleration, and t is the time.

Q: A student releases the 3.6kg bob of a 2.01m long pendulum from the position shown. Neglect loss.…

A:

Q: A student in a physics lab is asked to classify two springs. Right away, they notice some…

A: Given data: U1 = 10.0 J x1 = 12.0 cm U2 = 20.0 J x2 = 3.00 cm Required: The ratio of the two spring…

Q: Your parents are trying to find things to do for your younger brother who is 8 yrs old. They buy a…

A: mass (m) = 45 kg height of platform above trampoline (h) = 2 m initial velocity (v) = 3 msApplied…

Q: A simple pendulum, 2.0 m in length, is released with a push when the support string is at an angle…

A: Given: The length of the string is 2 m. The angle with the vertical is 25o. The initial speed of the…

Q: A 65.0 kg bungee jumper uses a cord that is 7.66 m long when unstretched with a spring constant of…

A: Given:-  The mass of the bungee jumper is m = 65 kg  The length of the cord is L = 7.66 m The spring…

Q: The spring in a retractable ballpoint pen is 1.8 cm long, with a 260 N/m spring constant. When the…

A: Given data K=260 N/mxi=1 mmxf=6 mm

Q: compressed 3.0 cm. How far must you compress a spring with twice the spring constant to store the…

A: compression in 1st  spring     x1 = 3.0 cm = 3.0 cm

Q: A child's toy consists of a piece of plastic attached to a spring in the figure below. The spring is…

A: According to the conservation of energy, 12kx2=mghkx2=2mghk=2mghx2

Q: A spring-loaded dart gun is used to shoot a dart straight up into the air. When fully compressed,…

A: Solution

Q: The box has a weight of 4 pounds and sits on a frictionless surface. Spring A is initially…

A:

Q: A block of mass m = 1.75 kg slides along a horizontal table www with speed vo = 3.50 m/s. At x = 0,…

A: Given Data Mass of the block is m=1.75 kg Initial speed of the block is v0=3.50 m/s Spring constant…

Q: A block of mass m = 2.25 kg slides along a horizontal ww table with speed vo = 10.00 m/s. At x = 0,…

A: The mass of the block is m = 2.25 kg. The speed with which the block slides along a horizontal table…

Q: A block of mass m = 7.4 kg is released from rest at a height of H = 7.0 m on a curved frictionless…

A:

Q: 75-kg block is set into motion by compressing a spring 25 cm from its natural length. The block then…

A:

Q: N A block is attached to an ideal spring with k = 200 m and initially at rest on a horizontal…

A:

Q: A 6.00 x 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.500 m by a large…

A: Given data: Mass (m) = 6.00 × 105 kg Initial velocity (v0) = 0.500 m/s Final velocity (v) = 0 m/s…

Q: A 6.00 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.400 m by a large…

A:

Q: The hill is covered in gravel so that the truck's wheels will slide up the hill instead of rolling…

A: Given : mt = 20000 kgv0 = 70 m/sx = 3.5 metersh = 55 metersμk = 0.78θ = 32 degreesL = 11 meters

Q: A 12 kg block is released from point A as shown in the figure.  Its path from A to the spring is…

A:

Q: 3.50 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.900 m by a large…

A:

Q: m y A 1.7060 kg object is pressed into a spring. The spring constant is 355 N/m. The object is…

A: Given data:  Mass (m) = 1.7060 kg Spring constant (k) = 355 N/m Height (h) = 149.0 cm = 1.490 m…

Q: You push a 2.0 kg block against a horizontal spring, compressing the spring by 15 cm. Then you…

A: Given:  Mass of block m=2 kg Length of compression ∆x=15 cm=0.15 m Stopping distance measured from…

Q: Three other springs are arranged as shown with spring constants k4 = 77.7, k5 = 47.3, and k6 = 117.…

A:

Q: A 1.68-kg box rests atop a massless vertical spring with k = 4170 N/m that has been compressed by…

A:

Q: A 50-g mass on the end of a spring at its equilibrium position is stretched a distance of 5.00 cm…

A:

Q: = 6. A horizontal spring has negligible mass, spring constant k 250 N/m, and is fixed at one of its…

A: As per given data, Spring constant(k) = 250N/m mass(m) = 2.5kg distance compressed (x) = 0.250m…

Q: A spring-loaded toy gun is used to launch a 10 g plastic ball. The spring, which has a spring…

A:

Q: 1. A boy swings back and forth on a swing whose ropes are 4.10 m long. The maximum height he reaches…

A: The length of the rope is 4.1 m.The maximum height achieved by the boy is 3.07 m.The height of the…

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.