A spring is attached to an inclined plane as shown in the figure. A block of mass m is placed on the incline, a distance d along the incline from the end of the spring. The block is given a quick tap, giving it an initial speed v, and it slides freely down the incline until it hits the spring. The incline angle is θ, the spring constant is k, and we can assume the surface is frictionless. By what distance is the spring compressed when the block momentarily comes to rest? (Use any variable or symbol stated above along with the following as necessary: g.)

Q: A 2 kg block is launched up a frictionless inclined plane by a spring as shown in the figure. The…

A:

Q: In the figure, a 2.7 kg block is accelerated from rest by a compressed spring of spring constant 660…

A: the vertical forces are normal force (up) and gravity force (down).  As Vertical component = 0

Q: An ideal spring is holding up a massless pulley as shown above. The end of the rope running over the…

A:

Q: A block of mass m = 2.00 kg is attached to a spring of force constant k = 515 N/m as shown in the…

A: Solutions is given by

Q: small body of mass m resting on a smooth horizontal plane is attached by threads to a point P (see…

A:

Q: A disk (MR2) of mass M =4.4 kg is on a surface as shown below. It is attached to a wall by a spring…

A: The conservation of energy principle states that in an isolated system, the sum of kinetic energy…

Q: A pendulum is raised to a certain height and released from point A, as shown in the image below. At…

A:

Q: As shown in the figure below, a box of massm = 6.40 kg is sliding across a horizontal frictionless…

A:

Q: A 176 g block is launched by compressing a spring of constant k =200N/m a distance of 15 cm. The…

A: Given, k= 200N/m d= 0.15 m

Q: A block of mass m = 2.00 kg is attached to a spring of force constant k = 525 N/m as shown in the…

A: Solution

Q: A block of mass m = 0.32 kg is set against a spring with a spring constant of k1 = 681 N/m which has…

A: Using the conservation of energy, 12k1d12-μkmgx=12k2d22

Q: A 1.2 kg block is held at rest against a spring with a force constant k = 750 N/m. Initially, the…

A:

Q: A block of mass m = 3.5 kg is attached to a spring with spring constant k= 730 N/m. It is initially…

A: Given: The mass of the block is 3.5 kg. The spring constant is 730 N/m. The angle is 21 degrees. The…

Q: The figure shows a track made up of two sections and located in a vertical plane. Section ab is…

A:

Q: From point P, located at a height of 4 meters, a block of mass m = 2 kg is released from rest. The…

A:

Q: A 500-g block is released from rest and slides down a frictionless track that begins 2.50 m above…

A:

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

A:

Q: Consider a linear spring, as in Figure 7.7(a), with mass M uniformly distributed along its length.…

A:

Q: A block of mass m = 2.00 kg is attached to a spring of force constant k = 545 N/m as shown in the…

A: Mass of block M = 2.00 kg  Spring constant k = 545 N/m  Displacement x = 4.45 cm = 0.0445 m We need…

Q: A 0.75 kg block is held at rest against a spring with a force constant k=730 N/m. The spring is…

A: Given data The mass of the block is: m = 0.75 kg The spring constant of the spring is: k = 730 N/m…

Q: A pendulum is raised to a certain height and released from point A, as shown in the image below. At…

A:

Q: A body of mass (m) starts from rest and descends by sliding down a frictionless plane inclined at an…

A:

Q: As shown in the figure below, a box of mass m = 7.40 kg is sliding across a horizontal frictionless…

A:

Q: A block of mass m = 2.00 kg is attached to a spring of force constant k = 590 N/m as shown in the…

A: The energy stored in spring will be transformed into the kinetic energy of the block when it reaches…

Q: A spring (k = 75.0 N/m) has a natural length of 1.00 m. The spring is compressed to a length of…

A:

Q: An inclined plane of angle θ = 20.0° has a spring of force constant k = 495 N/m fastened securely at…

A: Newton's law states that the net force is equal to the product of the mass and acceleration of the…

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

A:

Q: An m = 20.0 g object is held against the free end of a spring of constant k = 25.0 N/m that is…

A: Frictional force is given by the formula f=μN, where μ is coefficient of friction and N is normal…

Q: A block of mass m = 3.5 kg is attached to a spring with spring constant k = 730 N/m. It is initially…

A: In this case, the total mechanical energy of the block is equal to the sum of the work done by the…

Q: As shown in the figure below, a box of mass m = 9.80 kg is sliding across a horizontal…

A:

Q: A block of mass 0.250 kg is placed on top of a light, vertical spring of force constant 5000 N/m and…

A:

Q: A block of mass 3.20 kg is placed against a horizontal spring of constant k = 715 N/m and pushed so…

A: We need to calculate the elastic potential energy of the spring. Also, the speed of the block after…

Q: ( ANSWER e,f, and g ), a is given ) You have two equal masses m1 and m2 and a spring with a…

A: Given: The mass m1 = m2 = 0.500 kg. The spring constant k = 290 N/m. You now pull the mass m2 down a…

Q: A block of mass m=0.25 kg starts at rest at the top of an inclined plane of height h=0.8 m as shown…

A:

Q: box is pressed against a horizontal spring, compressing the spring from its relaxed length. The box…

A: Solution: as given K = spring constant of spring X = distance the spring is compressed M = mass box…

Q: tion between the block and the plane is μk = 0.13. In the initial position, where the spring is…

A:

Q: An inclined plane of angle θhas a spring of force constant k fastened securely at the bottom so that…

A: Let x be the compression in the spring when the block is momentarily rest. From work energy theorem…

Q: A mass m is at rest at O when suspended from a spring, as shown in the image. When the spring is…

A: System is at rest at point O. The gravitational energy is 0 at A. The elastic potential energy is…

Q: A brick of mass m = 0.48 kg is set against a spring with a spring constant of k1 = 619 N/m which has…

A: Given: m =0.48 kgk1=619 N/md1=0.1mk2=244 N/mμk=0.5x=1md2=?

Q: An inclined plane of angle  ? = 20.0°  has a spring of force constant  k = 510 N/m  fastened…

A: The potential energy possessed by the spring when it is compressed or elongated by a distance  x…

Q: Consider a pendulum of mass “m" attached to a spring of mass "M' that is free to move in single…

A: We know that the formula of the spring force is given as  F = -kx  here k is the spring constant  x…

Q: As shown in the figure below, a box of mass m = 5.80 kg is sliding across a horizontal frictionless…

A: At the moment the spring was fully compressed, the box comes to momentary at rest. At this point,…

Q: The figure shows a conical pendulum, in which a small object at the lower end of the string moves in…

A: Given:mass of an object, mTension in the string, Tangle θ = sin-1rLω is the angular velocity…

Q: A block of mass m = 2.5 kg is attached to a spring with spring constant k = 890 N/m. It is initially…

A:

Q: A block of mass m = 1.5 kg is attached to a spring with spring constant k = 510 N/m. It is initially…

A: 1. Draw the schematic arrangement of the system.

Q: A 500-g block is released from rest and slides down a frictionless track that begins 1.00 m above…

A: Mass of the block is m = 500 g Height of the block is h = 1 m Spring constant is k = 35 N/m

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.