A block of mass M = 6.20 kg, at rest on a horizontal frictionless table, is attached to a rigid support by a spring of constant k = 6170 N/m. A bullet of mass m = 8.30 g and velocity  v→ of magnitude 610 m/s strikes and is embedded in the block (the figure). Assuming the compression of the spring is negligible until the bullet is embedded, determine (a) the speed of the block immediately after the collision and (b) the amplitude of the resulting simple harmonic motion.   (a) Number Enter your answer for part (a) in accordance to the question statement Units Choose the answer for part (a) from the menu in accordance to the question statement                                                           This answer has no units° (degrees)mkgsm/sm/s^2NJWN/mkg·m/s or N·sN/m^2 or Pakg/m^3gm/s^3times (b) Number Enter your answer for part (b) in accordance to the question statement Units Choose the answer for part (b) from the menu in accordance to the question statement                                                           This answer has no units° (degrees)mkgsm/sm/s^2NJWN/mkg·m/s or N·sN/m^2 or Pakg/m^3gm/s^3times

Q: A bullet with a mass m = 8.10 g and aninitial speed vi = 320 m>s is fired into a ballistic…

A: Here, apply the law of conservation of momentum,

Q: (Figure 1) shows a block of mass m sliding along a frictionless surface with speed vm. It collides…

A:

Q: A father (mF = 90 kg) and his daughter (mD= 42 kg) stand on a flat frozen lake of negligible…

A: Given data: Mass of father (mf ) = 90 kg Mass of daughter (md ) = 42 kg In the given problem,  there…

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

A: Given Data:Mass of object 1 (m1) = 1.80 kg.Mass of object 2 (m2) = 1.20 kg.Speed of object 1 (v1) =…

Q: A ball is attached to one end of a wire, the other end being fastened to the ceiling. The wire is…

A: Mass of a ball mball = 1.7 KgMass of a block mblock = 2.3KgLength of the wire l = 1.27 m

Q: A ball is attached to one end of a wire, the other end being fastened to the ceiling. The wire is…

A:

Q: Two objects of masses m₁ = 0.48 kg and m₂ = 0.90 kg are placed on a horizontal frictionless surface…

A: Given, m1 = 0.48 kg m2 = 0.90 kg k = 300 N/m x = 9.6 cm = 0.096 m The law of conservation of…

Q: Two objects of masses m1 = 0.52 kg and m2 = 0.92 kg are placed on a horizontal frictionless surface…

A:

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

A: The mass of block-1 is given as, m1=1.20 kg, The speed of block-1 is given as, v1=4.50 m/s, The mass…

Q: PROBLEM 1: A rifle bullet of mass m strikes and is embedded in a block of mass M which is resting on…

A: A)  Mass & velocity of the bullet is m and v respectively Mass & velocity of the block is M…

Q: 2. A box (M₁=0.8 kg) is pushed against the spring (K = 150 N/m) and compressed for x = 0.15 m. When…

A: We are given the masses of boxes. We are given compression in spring. We first find the potential…

Q: A bullet of mass 50g is shot into a wooden block of mass 1.0kg, which is attached to a large…

A:

Q: A block of mass 2 kg is moving on a horizontal frictionless surface with velocity of 1 m/s, towards…

A: Given, A block of mass, m = 2 kg Moving on frictionless surface with velocity, v = 1 m/s Moving…

Q: In the figure below, block 2 (mass 1.4 kg) is at rest on a frictionless surface and touching the end…

A: The energy stored in the spring is  U =0.5 K d2 where, d is the compression, K is the spring…

Q: An object with mass m1 = 1kg moving to the right at a speed of 4m / s collides with a spring…

A: m1 = 1 kg ,m2 = 2 kg , v1 = 4 m/s , v2 = - 2 m/s , v1f = 3 m/s Force constant , k = 105 N /m To find…

Q: A stationary block of mass 5 kg explodes into two pieces L and R that slide across a frictionless…

A:

Q: In the figure, block 2 (mass 1.60 kg) is at rest on a frictionless surface and touching the end of…

A:

Q: A bullet of mass 0.0395 kg is fired toward board with a thickness of 0.0295 m. Its speed is 355 m/s…

A:

Q: (a) Find the velocity of the block together with the bullet after impact. (b) Find the elastic…

A: Collision Collision is a phenomenon where two bodies interact with each other by exchanging energy…

Q: In the figure, block 2 (mass 1.10 kg) is at rest on a frictionless surface and touching the end of…

A: Given data:  Mass of block 2 (m2) = 1.10 kg Initial velocity of block 2 (V2) = 0 m/s Mass of block 1…

Q: A block of mass M is connected to a spring of spring constant k as shown in the figure. The block is…

A: Let v is speed of combined mass just after collision. Then from conservation of linear momentum, we…

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

A:

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

A:

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

A:

Q: Car A (m=1,000 kg) is stopped at a traffic light when it is rear-ended by Car B (m=1,500 kg).  The…

A: First we have to calculate final velocities , then we will conserve momentum.

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: In the figure, block 2 (mass 1.80 kg) is at rest on a frictionless surface and touching the end of…

A:

Q: A block of mass 5M is attached to a very light horizontal spring of force constant k= 100 N and is…

A: In this problem we will use conservation of momentum  Initial momentum =Final momentum

Q: A ball is attached to one end of a wire, the other end being fastened to the ceiling. The wire is…

A: Given Data: Mass of the ball (mb) = 1.7 kg.Mass of the block (mbl) = 2.3 kg.Length of the wire (L) =…

Q: A ball is attached to one end of a wire, the other end being fastened to the ceiling. The wire is…

A: Given:mass of ball, m1=1.5 kglength of wire, l=1.34 macceleration g=9.8 ms2in this question,we will…

Q: a mass of 3 kg is attached to a massless spring with a force constant 500  n / m. The mass rest on a…

A: Givenmass, m=3 kgspring constant, k=500 N/minitial compression, x=30 cm   or 0.3 mso initially all…

Q: 8) A pendulum consists of a bob with mass m, attached to a string of length L. A block of mass M,…

A:

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

A:

Q: A block of mass M = 5.90 kg, at rest on a horizontal frictionless table, is attached to a rigid…

A:

Q: 4. A ball m1 of mass 1 kg starts at rest, and experiences a net force in the vertical direction…

A: Given function of F is F = 30t -20 for 2 seconds We know that F = ma So ma(t) = 30t - 20…

Q: A bullet of mass m=20 g is fired into a block of mass M=2 kg initially at rest at the edge of a…

A: given:mass of bullet m =20g=20*10-3 Kg mass of block M=2Kg initial velocity of block U = 0 height of…

Q: Two objects of masses m₁ = 0.48 kg and m₂ = 0.96 kg are placed on a horizontal frictionless surface…

A: m1 = 0.48 kg m2 = 0.96 kg spring constant (k) = 250 N/m compression in spring (x) = 9.2 cm

Q: A mass M1 (of 2.5 kg) slides without friction on a table at a speed of 5 m/sec towards a mass M2 of…

A: M1 = 2.5 kg v = 5 m/s M2 = 5 kg k = 100 N/m

Q: In a laboratory, two blocks of equal mass encounter a spring at the same velocity. One spring is…

A: Short answer is yes. Let's see how. We assume the direction of the blocks are along the length of…

Q: Two objects of masses m, - 0.42 kg and m, = 0.90 kg are placed on a horizontal frictionless surface…

A:

Q: A ball is attached to one end of a wire, the other end being fastened to the ceiling. The wire is…

A:

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

A:

Q: Two objects of masses m, = 0.46 kg and m, = 0.90 kg are placed on a horizontal frictionless surface…

A: Given that m1= 0.46 kg m2= 0.90 kg let the initial velocity of m1 and m2 be u1 and u2 respectively…

Q: A point mass (mass m1) is shot upwards a rough inclined plane (coefficient of kinetic friction μ)…

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.