A mass m = 16 kg rests on a frictionless table and accelerated by a spring with spring constant k = 4490 N/m. The floor is frictionless except for a rough patch. For this rough path, the coefficient of friction is μk = 0.52. The mass leaves the spring at a speed v = 3.4 m/s. The mass is measured to leave the rough spot with a final speed vf = 2 m/s.

Q: 12. A vertically mounted spring (k = 750 N/m) is compressed by 30.0 cm relative to its unstrained…

A: Spring constant = 750N/m Initially compression in spring =30cm Given mass =0.24kg Height =10.76m

Q: Sam, whose mass is 80 kg , takes off across level snow on his jet-powered skis. The skis have a…

A: Given m=80kg, T=160N, μ=0.1, t=15s

Q: A pendulum consists of a small object hanging from the ceiling at the end of a string of negligible…

A: Initially, the object has only kinetic energy due to its initial velocity which is conserved into…

Q: A bowling ball m=2.3kg is dropped from a height h. It falls a distance, d, before encountering a…

A: Given:-  The mass of the ball is m = 2.3 kg The height it dropped from is h and it falls a distance…

Q: A child and sled with a combined mass of 53.9 kg slide down a frictionless slope. If the sled starts…

A:

Q: A 3.0 kg block slides with a speed of 2.7 m/s on a frictionless horizontal surface until it…

A: Mass , m = 3 kg Speed , v = 2.7 m/s Compression , x = 5.6 cm = 0.056 m To find = a) Force constant…

Q: You push a file cabinet up a frictionless ramp tilted at 10°with horizontal. The file cabinet has a…

A:

Q: Gayle runs at a speed of 3.20 m/s and dives on a sled, initially at rest on the top of a…

A:

Q: A high-performance sports car can provide 3.570 x 105 W of power. The mass of the car is 1200. kg.…

A: Given data: The power produced by the car is P=3.570×105 W The mass of the car is m=1200 kg The…

Q: A pendulum consists of a small object hanging from the ceiling at the end of a string of negligible…

A:

Q: A force F → = ( c x − 3.00 x 2 ) i ^  acts on a particle as the particle moves along an x axis, with…

A: W=∫0 m2.8 mFxdx=∫0 m2.8 mcx-3.0x2dx=cx22-x32.80=3.92c-21.95

Q: In the figure, a 3.8 kg block slides along a track from one level to a higher level after passing…

A:

Q: A 85-g toy car is propelled by a compressed spring that starts it moving. The car follows a curved…

A: To solve the question we can use a different approach. However, we are going to solve it using the…

Q: When a 3.6 kg block is pushed against a massless spring of force constant 4.5 ✕ 103 N/m, the spring…

A: Work done on the spring is equal to work done by the friction on the block 12k∆x2=Ff∆s…

Q: A block of mass 15.0 kg slides from rest down a frictionless 40.0° incline and is stopped by a…

A: Given:Mass of the block, m = 15 kgInclination of the plane = 40 degreesSpring constant, k = 3.4 ×104…

Q: A 7.00 ✕ 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: A spring-mass system has a spring with spring constant k=65.0 N/m and a 800.0 gram mass on the end…

A:

Q: A block of unknown mass is placed on a ramp at a height h above the ground as shown.  The block is…

A:

Q: Current Attempt in Progress Redesigning a track. The figure below shows a small block that is…

A:

Q: ith the string hanging vertically, the object is given an initial velocity of 1.9 m/s parallel to…

A:

Q: A 6.50 ✕ 105 kg subway train is brought to a stop from a speed of 0.600 m/s in 0.800 m by a large…

A: According to question---- Given data--- Mass m = 6.5 × 105 kg. Speed = 0.6 m / sec. X = 0.8 m. We…

Q: A constant net force of 60.0 N acts on an object initially at rest and acts through a parallel…

A:

Q: A block of mass m - 2.65 kg slides along a horizontal table with speed = 9.00 m/s. At x = 0, it hits…

A:

Q: The massless spring of a spring gun has a force constant k = 12 N/cm. When the gun is aimed…

A: Now, the spring's initial compression is computed as, We know mass m is 15 g Height, h is 5 m, Force…

Q: Gayle runs at a speed of 3.65 m/s and dives on a sled, initially at rest on the top of a…

A:

Q: A force −→F = (cx − 3.00x2)ˆi acts on a particle as the particle moves along an x axis, with −→F in…

A:

Q: A 1.50 × 10³ kg car accelerates uniformly for 15 m in 3.0 s. What is che power delivered by the…

A: given; m=1.50*103 kg s = 15 m t=3.0 s

Q: In the figure, a 4.2 kg block slides along a track from one level to a higher level after passing…

A:

Q: In the figure, a 4.1 kg block slides along a track from one level to a higher level after passing…

A:

Q: A 2.0 kg mass is placed against a spring of force constant 800 N/m, which has been compressed 0.22…

A:

Q: A 6.50 x 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: Given : m = 6.50 × 105 kg v = 0.5 m/s x = 0.9 m vo = 0 (because finally the train stops)

Q: As a 1.4x104 kg jet plane lands on an aircraft carrier, its tail hook snags a cable to slow it down.…

A: Here we will find the speed of plane

Q: A pendulum consists of a small object hanging from the ceiling at the end of a string of negligible…

A:

Q: A glider with mass m = 0.200 kg sits on a frictionless, horizontal airtrack, connected to a spring…

A: Given: The mass of the glider is m=0.200 kg. The force constant of the spring is k=5.00 N/m. The…

Q: A 2.90 kg 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

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.