A particle of mass 2.00 kg is attached to a spring with a force constant of...

A particle of mass 2.00 kg is attached to a spring with a force constant of 300 N/m. It is oscillating on a horizontal frictionless surface with an amplitude of 4.00 m. A 7.00 kg object is dropped vertically on top of the 2.00 kg object as it passes through its equilibrium point. The two objects stick together.

(a) Does the amplitude of the vibrating system increase or decrease as a result of the collision?

decreases

increases

no change

(b)By how much does the amplitude of the vibrating system change as a result of collision?

m(b)

(c)How does the period change?

increases

decreases

no change

By how much does the period change?

s(c)

(d)How does the mechanical energy of the system change?

no change

decreases

increases

By how much does the energy change?

(e) Account for the change in energy.

Solutions

Expert Solution

***************************************************************************************************
This concludes the answers. If you need any more clarification, modification or correction, feel free to ask.

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

A particle of mass 4.00 kg is attached to a spring with a force constant of...

A particle of mass 4.00 kg is attached to a spring with a force constant of 300 N/m. It is oscillating on a horizontal frictionless surface with an amplitude of 5.00 m. A 9.00 kg object is dropped vertically on top of the 4.00 kg object as it passes through its equilibrium point. The two objects stick together. a) By how much does the amplitude of the vibrating system change as a result of collision? b) By how much does...

A mass m = 3.27 kg is attached to a spring of force constant k =...

A mass m = 3.27 kg is attached to a spring of force constant k = 60.9 N/m and set into oscillation on a horizontal frictionless surface by stretching it an amount A = 0.17 m from its equilibrium position and then releasing it. The figure below shows the oscillating mass and the particle on the associated reference circle at some time after its release. The reference circle has a radius A, and the particle traveling on the reference circle...

A 0.92 kg mass is attached to a light spring with a force constant of 30.9...

A 0.92 kg mass is attached to a light spring with a force constant of 30.9 N/m and set into oscillation on a horizontal friction-less surface. If the spring is stretched 5.0 cm and released from rest, determine the following. (a) maximum speed of the oscillating mass? in m/s ? (b) speed of the oscillating mass when the spring is compressed 1.5 cm? in m/s ? (c) speed of the oscillating mass as it passes the point 1.5 cm from...

A particle of mass m is attached to a spring with a spring constant k. The...

A particle of mass m is attached to a spring with a spring constant k. The other end of the spring is forced to move in a circle in the x ? y plane of radius R and angular frequency ?. The particle itself can move in all 3 directions. Write down the Lagrangian, and derive the equations of motion.

A block with a mass of 0.488 kg is attached to a spring of spring constant...

A block with a mass of 0.488 kg is attached to a spring of spring constant 428 N/m. It is sitting at equilibrium. You then pull the block down 5.10 cm from equilibrium and let go. What is the amplitude of the oscillation? A block with a mass of 0.976 kg is attached to a spring of spring constant 428 N/m. It is sitting at equilibrium. You then pull the block down 5.10 cm from equilibrium and let go. What...

A block with a mass of 2.00 kg is attached to a spring, undergoing a horizontal...

A block with a mass of 2.00 kg is attached to a spring, undergoing a horizontal simple harmonic motion with a period of 1.26 s. The initial speed of the block is 1.20 m/s when the spring is stretched by 25.0 cm. Let x = 0 at the equilibrium position. Ignore friction. a)Find the spring constant. b)Find the total energy of this object. c)Find the maximum displacement of the motion. d)Find the maximum speed. e)For the block, at what position...

A block of mass m = 2.5 kg is attached to a spring with spring constant...

A block of mass m = 2.5 kg is attached to a spring with spring constant k = 640 N/m. It is initially at rest on an inclined plane that is at an angle of θ = 27° with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is μk = 0.11. In the initial position, where the spring is compressed by a distance of d = 0.19 m, the mass is at...

A particle of mass 1 is attached to a spring dashpot mechanism. The stiffness constant of...

A particle of mass 1 is attached to a spring dashpot mechanism. The stiffness constant of the spring is 3 N/m and the drag force exerted on the particle by the dashpot mechanism is 4 times its velocity. At time t=0, the particle is stretched 1/4 m from its equilibrium position. At time t=3 seconds, an impulsive force of very short duration is applied to the system. This force imparts an impulse of 2 N*s to the particle. Find the...

An object with mass 3.5 kg is attached to a spring with spring stiffness constant k...

An object with mass 3.5 kg is attached to a spring with spring stiffness constant k = 270 N/m and is executing simple harmonic motion. When the object is 0.020 m from its equilibrium position, it is moving with a speed of 0.55 m/s.(a) Calculate the amplitude of the motion._____ m(b) Calculate the maximum velocity attained by the object. [Hint: Use conservation of energy.]______ m/s

The displacement of a block of mass 1.280 kg attached to a spring whose spring constant...

The displacement of a block of mass 1.280 kg attached to a spring whose spring constant is 50 N/m is given by x = A cos ωt, where A = 12 cm. In the first complete cycle, find the values of x and t at which the kinetic energy is equal to one half the potential energy.

Subjects