As shown in the figure, a 1.50-kg box is held at rest against a spring with a force constant k = 790 N/m that is compressed a distance d. When the box is released, it slides across a surface that is frictionless, except for a rough patch that has a coefficient of kinetic friction u, = 0.400 and is 6.00 cm in length. If the speed of the box is 1.50 m/s after sliding across the rough patch, determine the initial compression d of the spring. cm Equilibrium position y=0! rough patch 6.00 cm

Q: A 6.00-kg object is attached to one end of a horizontal spring that has a negligible mass and a…

A: Given Mass of object = 6.0 kg Spring constant = 300 N/m Compression in spring given = 10 cm from the…

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

A: The time period of the object fall from the 1 m off the table Substitute all values in the above…

Q: A 2.90-kg block is released from rest and allowed to slide down a frictionless surface and into a…

A: Mass of box=2.9kg Spring constant=463N/m Height=0.5m

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: As shown in the figure, a 1.5 kg box is held at rest against a spring with a force constant k = 795…

A: Given data: Mass of the box, m=1.5 kg Force constant, k=795 N/m Coefficient of kinetic friction,…

Q: A scene in a movie has a stuntman falling through a floor onto a bed in the room below. The plan is…

A: Spring constant (k)= 65144 Nm Compression (d) = 14.65 cm Height of mass above the spring (h) = 4.12…

Q: How far a spring extended if it has 2.5J of elastic potential energy and its spring- constant is…

A: The formula of the elastic potential energy of a spring is  U=0.5 K x2 where, K is the spring…

Q: a box of mass  m = 9.20 kg is sliding across a horizontal frictionless surface with an initial speed…

A: According to the law of conservation of energy , energy can neither be created nor destroyed but can…

Q: A vertical spring with a spring constant of 450 N/m is mounted on the floor. From directly above the…

A:

Q: The launching mechanism of a toy gun consists of a spring of unknown spring constant, as shown in…

A: Given: The compression of the spring is 0.180 m. The mass of the projectile is 19.0 g. The height of…

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

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

A: Given values m = 2 kg, X = 4.05 cm = 4.05 x 10-2 m Spring constant, k=590 N/m

Q: A spring with a constant of 730 N/m is compressed by a block of mass m = 1.2 kg. When the block is…

A: m = 1.2 kg k = 730 N/m L = 0.05 m coefficient of kinetic friction = 0.44 v = 2.3 m/s Using equation…

Q: An 8.0-g bullet is suddenly shot into a 4.0-kg block that is at rest on a frictionless horizontal…

A:

Q: A 12g bullet is fired horizontally against a 100 g wooden block resting on a rough horizontal…

A: Apply conservation of mechanical energy to block embedded bullet.…

Q: There is a block, call is mass 1 of 1.2kg. It is being compressed 75 mm into a spring with a k value…

A:

Q: The launching mechanism of a toy gun consists of a spring of unknown spring constant, as shown in…

A:

Q: A vertical spring with a spring constant of 480 N/m is mounted on the floor. From directly above the…

A: The spring constant of the spring = 480 N/m.The mass of the block =0.30 kg.The compressed distance =…

Q: A block of mass m = 3.08 kg is attached to a spring that is F (N) resting on a horizontal,…

A:

Q: As shown in the figure, a 1.5 kg box is held at rest against a spring with a force constant k = 695…

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 block of mass 2 kg is attached to the end of a spring of force constant 180 kN/m as in fig. (a).…

A: Given data The mass of the block is m=2 kg The spring constant is K=180 kN/m The amplitude of the…

Q: A block of mass m = 2.00 kg is attached to a spring of force constant k = 4.95 x 102 N/m that lies…

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Q: A ball of mass m = 1.80 kg is released from rest at a height h = 65.0 cm above a light vertical…

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Q: If a 4-kg block is placed against the spring and the spring is released, what will be the speed of…

A: GIVEN: Mass of block =4 kg For the spring  Work done =12kx2 where k is spring constant            x…

Q: Mickey, a daredevil mouse of mass  0.0231 kg,  is attempting to become the world's first "mouse…

A: Given, Mass of the mouse m = 0.0231 Kg Spring force constant k = 57. 5 N/m compress distance x =…

Q: A mass of 0.78 kg is is initially traveling at across a horizontal surface. It then reaches a spring…

A:

Q: a) Find the the work required to stretch the spring.   (b) Find the speed the block has as it…

A: Given, Mass of the block= 2 kg Force constant of the spring k=4.70×102 N/m The initial position of…

Q: Mickey, a daredevil mouse of mass 0.0227 kg, is attempting to become the world's first "mouse…

A: Given that:Mass of the mouse: m=0.0227 kgForce constant, k=75.5 N/mCompression of spring, x=0.131…

Q: A spring-powered dart gun is unstretched and has a spring constant 16.0 N/m. The spring is…

A: Data Given,  Spring constant ( k ) = 16 N/m Extension of the Spring  ( x ) = 8 cm             = 0.08…

Q: what is its speed (in m/s) when it is a distance of 10 cm from the equilibrium position

A: If we apply conservation of energy  Then  Initiay energy = final energy Initial energy is for…

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

A: Given data The mass of the object is: m = 20 g The value of the spring constant is:  k = 25 N/m The…

Q: A 5.00 g bullet moving with a initial speed of v; = 400m/s is fired into and pa sses a 1.00 kg…

A:

Q: A scene in a movie has a stuntman falling through a floor onto a bed in the room below. The plan is…

A:

Q: A mouse of mass 0.025 kg loads himself in a spring-powered gun that is pointed at some angle. He…

A: Initial energy stored in the spring = initial energy provided to the mouse Energy possessed by mouse…

Q: 2. A spring (k = 72 N/m) releases object 1 with a force of 36 N. The object slides down a ramp and…

A: Given: K=72 N/m F = 36 N work done by friction = 8.6 J initial height h = 2.0m

Q: A block of mass m = 2.00 kg is attached to a spring of force constant k = 4.35 x 102 N/m that lies…

A:

Q: A 3.00 kg block on a horizontal surface is placed (not attached) at rest against a horizontal…

A: The given data: The mass of the block, m = 3.00 kg The weight of the block, W = mg = 3×9.8 = 29.4 N…

Q: A 500-g block is released from rest and slides down a frictionless track that begins 1.86 m above…

A: Given data *The mass of the block is m = 500 g = 0.500 kg *The given height is h = 1.86 m *The…

Q: "A particle with a mass of .7 kg is attached to a horizonal spring with a force constant of 40 N/m.…

A:

Q: As shown in the figure, a 1.5 kg box is held at rest against a spring with a force constant k = 750…

A: Given: The mass 0f box is m=1.5 kg. The force constant is k=750 Nm. The initial compression is d.…

Q: A block of mass m = 5.70 kg is attached to a light spring and slides on a rough horizontal surface…

A:

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

Q: A scene in a movie has a stuntman falling through a floor onto a bed in the room below. The plan is…

A:

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.