One way to measure the speed of a bullet is to fire it into a block of wood attached to a spring.  The bullet hits the block and remains lodged in it. The spring is compressed after the collision.  If the mass of the bullet is 8.0×10−38.0×10−3 kg, and the mass of the block is 4.0 kg, and the spring constant is 2400 N/m, then what is the initial speed of the bullet if the maximum compression of the spring is 0.087 m?

Q: A massless spring (with force constant k = 192 N/m) connects a wall and a block of wood. The system…

A: Given Data: The magnitude of force constant is, k=192 N/m The mass of a block is, M=56.6 g The mass…

Q: A spring with a spring constant of 825 N/m is placed horizontally, and compressed a distance of…

A:

Q: Hooke's law describes a certain light spring of unstretched length 34.2 cm. When one end is attached…

A: The spring constant, k=Fx=mgl'-l   Substitute, k=6.75 kg9.8 m/s240.4 cm-34.2 cm=1066 N/m=1.066 kN/m

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 bullet with a mass ?b=13.1 g is fired into a block of wood at velocity ?b=253 m/s. The block is…

A:

Q: A block attached to a vertical spring has a velocity of 0.499 m/s after it descended through a…

A: When the block descends, two forces act on it. The forces are due its weight which pulls it downward…

Q: A massless spring (with force constant k = 181 N/m) connects a wall and a block of wood. The system…

A: spring constant (k)= 181 Nmmass of block (M) = 55.9 g mass of bullet (m) = 5.7 g compression in the…

Q: A car with mass 1620 kg crashes into a wall. The car's velocity immediately before the collision was…

A:

Q: A 4.020-gram bullet is projected horizontally to a block of timber that rest on a horizontal floor.…

A:

Q: A wooden block of mass M, attached to a massless spring with spring constant k, rests on its…

A:

Q: A 12.0-g bullet is fired horizontally into a 109-g wooden block that is initially at rest on a…

A: mass of bullet (m) = 12 g mass of block (M) = 109 g Spring constant (k) = 144 Nmcompression in the…

Q: A bullet with a mass mp = 12.7 g is fired into a block of wood at velocity vp = 257 m/s. The block…

A: We will solve the problem by using the principle ofconservation of linear momentum and then the…

Q: In the figure, block 2 (mass 1.40 kg) is at rest on a frictionless surface and touching the end of…

A:

Q: You have been asked to design a "ballistic spring system" to measure the speed of bullets. A bullet…

A: m = 2.1 g M = 1.5 kg k = 40 N/m d = 0.15 m using conservation of energy (1/2)(M+m)(V)2 =…

Q: A 4.020-gram bullet is projected horizontally to a block of timber that rest on a horizontal floor.…

A: Mass of bullet: m = 4.020 g = 4.020 x 10-3 kg Maximum displacement of the block: x = 0.0035 m Spring…

Q: A block having a mass of 0.60 kg is given an initial velocity of 2.2 m/s to the right and collides…

A: Given that the mass of the block and initial velocity of the block and also given the force constant…

Q: An AK47 (Kalashnikov Rifle) shoots bullets that have a mass of 7.90g. The design of the AK47 rifle…

A: Mass of the bullet is m = 7.90×10-³ kg  Mass of the block is M = 7.24 kg  K = 203000 N/m…

Q: A rifle bullet with mass 8.00 gg strikes and embeds itself in a block with mass 0.992 kgkg that…

A: Analyze the following figure. 1) As per the conservation of energy, Here, the EBI and EAI…

Q: 1. A ball having a mass of 60g is attached to the horizontal barrel of a spring gu The spring has a…

A: Given :-  K = 730 N/ m x = 50 mm = 50 × 10-3  m = 60 kg  F = 4 N

Q: In the ballistic pendulum shown below, the block has a mass of 1.7 kg, the bullet has a mass of…

A: Given M = 1.7 kgm = 0.0054 Kg L = 2.91 mθ = 26°

Q: A massless spring (with force constant k = 199 N/m) connects a wall and a block of wood. The system…

A: Given values:Spring constant, k = 199 N/mMass of the block, M = 58.1 gMass of the bullet, m = 8.2…

Q: A 1.00 kg wooden block is on a level board and held against a spring of force constant 30.0 N/m…

A:

Q: Hooke's law describes a certain light spring of unstretched length 34.2 cm. When one end is attached…

A:

Q: A spring with a spring constant of 303 N/m is initially compressed by a distance of 0.056 m from its…

A:

Q: A bullet with a mass m = 12.7 g is fired into a block of wood at velocity vo = 261 m/s. The block is…

A: Momentum of an object is defined as the product of it's mass and velocity , that is , p=mv.…

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 horizontal spring-mass system consists of a spring and a weight attached to the end of it. The…

A:

Q: A rifle bullet with mass 4.00 gm strikes and embeds itself in a block with mass 0.996 Kg that rests…

A: Let m be the mass of the bullet and M be the mass of the block. Given:

Q: In the figure, block 2 (mass 1.20 kg) is at rest on a frictionless surface and touching the end of…

A: Mass of block 1(m1) =1.40 kg It's speed (V1) =3.30 m/s Mass of block 2(m2) =1.20 kg Block m1 sticks…

Q: You have been asked to design a "ballistic spring system" to measure the speed of bullets. A bullet…

A: From conservation of momentum is, mBvB=mB+Mvf       ......(i) From conservation of energy,…

Q: A 12.0-g bullet is fired horizontally into a 107-g wooden block that is initially at rest on a…

A: according to the conservation of mechanical energy to block embedded bullet,…

Q: A 1.30 kg block of wood sits on a frictionless horizontal surface is attached rigid support by a…

A:

Q: A 1.00 × 10−2-kg bullet is fired horizontally into a 2.50-kg wooden block attached to one end of a…

A: When the bullet strikes the block the combination results in a certain velocity based on, this speed…

Q: You have been asked to design a “ballistic spring system” to measure the speed of bullets. A bullet…

A: Given: The mass of the bullet is m The mass of the block is M Spring constant K

Q: A spring with a spring constant of 383 N/m is initially compressed by a distance of 0.076 m from its…

A: The elastic potential energy stored in a compressed spring is given by UE = 12kx2, where k = spring…

Q: A 12.0-g bullet is fired horizontally into a 114-g wooden block that is initially at rest on a…

A: Use law of conservation of the energy into block-bullet embedded system, the expression for find…

Q: A 12.0-g bullet is fired horizontally into a 116-g wooden block that is initially at rest on a…

A: Mass of bullet M = 12.0 g = 0.012 kg  Mass of block M' = 116 g = 0.116 kg Spring constant k = 159…

Q: A rifle bullet with mass 8.00 gg strikes and embeds itself in a block with mass 0.992 kgkg that…

A: 1. Let's calculate the spring constant. F=kxk=Fx=0.750 N0.0025 m=300 N/m

Q: A spring with a spring constant of 369 N/m is initially compressed by a distance of 0.064 m from its…

A: Spring constant, k=369 N/m Compression of the spring, x=0.064 m Mass of block, m=0.031 kg Let the…

Q: A block weighing 1 kg resting on a frictionless horizontal surface is attached to a spring with a…

A:

Q: A bullet with a mass m, = 12.7 g is fired into a block of wood at velocity Ub = 253 m/s. The block…

A:

Q: A 4.020-gram bullet is projected horizontally to a block of timber that rest on a horizontal floor.…

A: Given that, The mass of a bullet, m = 4.020-gram Initially, the bullet was at rest on a horizontal…

Q: A 10.0 g bullet is fired into and embeds itself in a 1.60 kg block attached to a spring with a…

A: Given that, Mass of a bullet, m = 10 g = 0.01 kg Mass of a block, M = 1.6 kg The spring constant of…

Q: A horizontal spring with stiffness 0.8 N/m has a relaxed length of 16 cm (0.16 m). A mass of 22…

A:

Q: A spring with a spring constant of 247 N/m is initially compressed by a distance of O.044 m from its…

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.