Purchase Solution

the kinetic energy K of the block

Not what you're looking for?

Ask Custom Question

Systems in simple harmonic motion, or harmonic oscillators, obey the law of conservation of energy just like all other systems do. Using energy considerations, one can analyze many aspects of motion of the oscillator. Such an analysis can be simplified if one assumes that mechanical energy is not dissipated. In other words,
E = K + U = Constant
where E is the total mechanical energy of the system, K is the kinetic energy, and U is the potential energy.

a). Find the kinetic energy K of the block at the moment labeled B.
Express your answer in terms of k and A.

Attachments
Purchase this Solution
Solution Summary

The solution finds the kinetic energy of a harmonic oscillator. Mechanical energy of the system is determined.

Solution Preview

Please see the attached file.

Systems in simple harmonic motion, or harmonic oscillators, obey the law of conservation of energy just like all other systems do. Using energy considerations, one can analyze many aspects of motion of the oscillator. Such an analysis can be simplified if one ...

Purchase this Solution
Free BrainMass Quizzes
Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

The Moon

Test your knowledge of moon phases and movement.

Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

Basic Physics

This quiz will test your knowledge about basic Physics.

View More Free Quizzes
Related BrainMass Solutions

  • Potential and Kinetic energy of an oscillator

    45109 Potential and Kinetic energy of an oscillator A block of mass m = 0.65 kg is fastened to a spring with k = 65 N/m.

  • coefficient of kinetic friction between the block and table

    211061 coefficient of kinetic friction between the block and table A 0.510 kg wood block is firmly attached to a very light horizontal spring (k = 190 N/m).

  • Harmonic oscillator, conservation of momentum, gravity

    Potential energy=1/2 K (Xm/2)^2= ¼ {1/2 K (Xm)^2} Therefore Kinetic energy= ¾ {1/2 K (Xm)^2} B.)For what value of the displacement does the kinetic energy equal the potential energy?

  • Block on Frictionless Incline

    Formulas to use:
    Kinetic energy of block = 0.5 * m * (v ^ 2).
    Potential energy of block = m * g * h.
    Potential energy of spring = 0.5 * k * [(compression) ^ 2].

    The spring constant, k = 270 N / 0.02 m = 13,500 N / m.

  • coefficient of kinetic friction between the block and the ta

    When the spring is compressed at 0.20m by the block, to the total energy of the system is the potential energy of the pring as T1 = 0.5kx^2, where k is the spring constant k = 100 N/m, and x =0.20m, so T1 = 0.5* 100 * 0.20^2 = 2 J When the block

  • Thermal Kinetic Energy Problem

    (a) What is the increase in the thermal kinetic energy of the block floor system? (b) What was the maximum kinetic energy of the block? (c) Through what distance is the spring compressed before the block begins to move?

  • Calculating the loss of mechanical energy

    In order for the block to come to a stop, all of the initial kinetic energy must be transferred to friction. This means that the amount of energy dissipated to the spring is equal to the initial amount of kinetic energy.

  • Bullet Motion and Conservation of Energy

    The potential energy of the block with the embedded bullet is: From conservation of energy we can say: Where K is the kinetic energy of the block-bullet object, and i and f subscripts refer to initial and final state respectively.

  • bullet hitting a wooden block

    in kinetic energy of the bullet is ∆K= K_1-K_2=264.6-48.6=216 J C) What is the kinetic energy of the block at the instant after the bullet passes through it?

View More Related Solutions