A0.20 kg object, attached to a spring with spring constant k = 10 n/m, is moving on a horizontal frictionless surface in simple harmonic motion of amplitude of 0.080 m. what is its speed at the instant when its displacement is 0.040 m? (hint: use conservation of energy.)

 v = 0.566 m / s

Explanation:

Let's use energy conservation at two points the most extreme point of maximum elongation and the point of interest

Initial maximum elongation

    Em₀ = = ½ k x²

At this point x = A = 0.080 m

Final point of interest

    = K = ½ m v²

Energy is conserved

   Em₀ =

   ½ k A² = ½ m v²

   v² = k / m A²

   v = √(k/m) A

Let's calculate

   v = √ (10 / 0.20) 0.080

   v = 0.566 m / s

adding a(n) to an electric circuit would increase the magnetic field around a wire;

b. solenoid

a solenoid is a type of electromagnet whose purpose is to generate a controlled magnetic field.

if the purpose of the solenoid is instead to impede changes in the electric current, a solenoid can be more specifically classified as an inductor rather than an electromagnet.