A toy cannon uses a spring to project a 5.32-g soft rubber ball. The spring is originally compressed by 4.94 cm and has a force constant of 8.10 N/m. When the cannon is fired, the ball moves 14.6 cm through the horizontal barrel of the cannon, and the barrel exerts a constant friction force of 0.0315 N on the ball. (a) With what speed does the projectile leave the barrel of the cannon? (b) At what point does the ball have maximum speed? (c) What is this maximum speed?

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: A 1500-kg car moving at 25 m/s hits an initially uncompressed horizontal spring with spring constant…

A:

Q: Bumper car "A' , with mass 54.0 × 104 kg, coasts across a level track at 4.50 m/s when it collides…

A: Given Mass of car A is mA= 54.0 × 104 kg Initial velocity of car A is vA=4.50 m/s maximum…

Q: A 1.68 kg ball rolls on a frictionless horizontal surface at 4.52 m/s and collides with a stationary…

A: Write the given values with the suitable variables. m1=1.68 kgu1=4.52 m/sm2=1.22 kgu2=0 m/sk=1758…

Q: A 34 kg child uses a pogo stick to bounce up and down. The spring constant, k, of the toy equals…

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: Potential energy possessed by the mass at the given height is converted into the spring potential…

Q: A bullet with mass 4.59 g is fired horizontally into a 1.966-kg block attached to a horizontal…

A:

Q: A bullet with mass 4.91 g is fired horizontally into a 2.129-kg block attached to a horizontal…

A:

Q: A 2.10 kg mass is pushed against a horizontal spring of force constant 28.0 N/cm on a frictionless…

A: The velocity of the mass is maximum when the potential energy stored in the spring is zero.…

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

A:

Q: As shown in the figure below, a box of mass m = 6.00 kg is sliding across a horizontal frictionless…

A:

Q: A 2.00-kg block is pushed against a spring with negligible mass and force constant compressing it…

A:

Q: In designing a spring loaded cannon, determine the spring constant required to launch a 1.0 kg ball…

A: Given data: Displacement of the ball x=5 cm =0.05m Mass of the ball m=1.0 kg Initial speed v=1.2 m/s

Q: A 2.75 kg block on a horizontal floor is attached to a horizontal spring that is initially…

A: From conservation of energy,

Q: 1.25 m 6) A 20.0-g object is placed against the free end of a spring (with spring constant k) that…

A:

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 40.0-gram rock is attached to a horizontal spring with a force constant of 11.0 N/m. The spring is…

A: Given: The mass of the rock is 40 g. The spring constant is 11 N/m. The amplitude of the system is…

Q: k = 50 N/m ell ele 0.5 kg X = -0.5 m X = 0.0 m X = 0.5 m A block of mass 0.5 kg on a horizontal…

A: There are 2 questions being asked. Both of them relate to simple harmonic motion of a block.

Q: k m A block of mass m = 5.20 kg is being suspended at rest by an extended spring of spring constant…

A: M = 5.2kg  K= 36 N/m  F= 20N  s= 2.45m

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

A: Mass of the block, m = 1.5 kg Spring constant, k = 57 N/m Maximum compression, x = 0.40 m

Q: spring with a constant of 50.0 N/cm. The launcher is prepared by compressing the spring by 5.00 cm.…

A:

Q: A 2.00-kg block is pushed against a spring with negligible mass and force constant compressing it…

A: Given data: Mass of block is, m=2.00 kg. Spring compression is, x=0.220 m. Angle of inclination is,…

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

A: Given data The mass of the mouse is m = 0.0231 kg. The force constant of the spring is k = 62.7 N/m.…

Q: Mickey, a daredevil mouse of mass  0.0203 kg, ,  is attempting to become the world's first "mouse…

A: Data Given ,  Mass of the mouse ( m ) = 0.0203 kg  Gun's spring constant ( k ) = 62.1 N/m Stretch…

Q: A 3 kg object attached to an ideal massless spring is compressed 1.2 m. If the spring constant is 45…

A:

Q: A block of mass m2 = 10.0 kg, at rest on a horizontal surface that has negligible friction, is…

A: using conservation of momentum mu + MV = (m +M) v 14(3.2) + 10(0) = (14+10)v v = 1.87 m/s (combined…

Q: A block of mass of 1.0 kg is moving across a frictionless floor and comes in contact with an ideal…

A: Given data :                Mass of the block , m = 1 kg                Velocity of the block,  v =…

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: (15pts) A block with mass 0.50kg is forced between a horizontal spring of negligible mass,…

A: Given: Block of mass m = 0.50 kg Distance d= 0.20 m  Spring constant k = 100 N/m We have to…

Q: A 120 g arrow is shot vertically from a bow whose effective spring constant is 430 N/m. If the bow…

A: Given data: Mass (m) = 120 g = 0.120 kg Spring constant (k) = 430 N/m Spring compressed by distance…

Q: The spring in a dart gun has a spring constant of 20.0 N/m. The spring is compressed 8.00 x 10-2 m…

A: Given data: Spring constant (k) = 20.0 N/m Compression in spring (x) = 8.00 × 10-2 m Mass of dart…

Q: A 10 kg runaway grocery cart runs into a spring with spring constant 250 N/m and compresses it by 60…

A:

Q: Mickey, a daredevil mouse of mass 20.3 g,20.3 g, is attempting to become the world's first "mouse…

A: Let v be the velocity of mickey, x be the distance the spring is compressed initially, k is the…

Q: A 12-kg block on a horizontal frictionless surface is attached to a light spring (force constant…

A: The law of conservation of energy says that energy will be a constant quantity. The work done is…

Q: A 2.85 kg block on a horizontal floor is attached to a horizontal spring that is initially…

A: From the conservation of energy: The work done by friction on the block is:

Q: 9. A vertically mounted spring (k = 900 N/m) is compressed by 24.0 cm relative to its unstrained…

A:

Q: A bullet with mass 5.00 g is fired horizontally into a 2.000-kg block attached to a horizontal…

A: Given:- A bullet with mass m1 = 5.00 g = 5 x 10-3 kg  A block mass of m2 = 2.0 kg  The spring has a…

Q: Mickey, a daredevil mouse of mass 0.0221 kg, is attempting to become the world's first "mouse…

A: Given: The mass of mouse m = 0.0221 kg. The force constant of spring k = 86.3 N/m compression of…

Q: A 1.30 kg block slides on a frictionless horizontal surface until it encounters a spring with a…

A: Given, mass of the block, m = 1.30 kg Force constant, k = 520 Nm compression, x = 2.50 cm

Q: A 1.71 kg ball rolls on a frictionless horizontal surface at 5.17 m/s and collides with a stationary…

A: Calculate the velocity of block after impact by using conservation of linear momentum.…

Q: A block of mass m = in front of a relaxed horizontal spring of spring constant k = 200 N/m fixed at…

A:

Q: A 0.35 kg mass is held against a compressed spring with a spring constant of 89 N/m. The mass is…

A: Using the work-energy theorem, Ki+Ui+Wnc=Kf+Uf0+12kx2-μmgx=12mv2+0v=kx2m-2μgx

Q: A 4.00 kg block is attached to a spring of force constant 500 N/m. The block is pulled 10.0 cm to…

A: Given Mass of block m= 4kg Spring constant K=500N/m x=0.1 m Coefficient of friction μ=0.25

Q: The return constant of a spring is 300 N/m. Over what length should it be stretched to store 80J of…

A: Given data:  Spring constant (k) = 300 N/m Potential Energy (U) = 80 J Required: Length stretched…

Q: Q: A block of mass 0.50 kg is placed on top of a light vertical spring of force constant 7500 N/m…

A: Given: M=0.5 kg k=7500 N/m compressed length, x=0.2 m g=10 m/s2

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.