Respuesta :
Answer:
Explanation:
a ) Energy of spring = 1/2 k A² where A is amplitude of oscillation and k is force constant .
So initial energy = 1/2 x 2.5 x (6.4 x 10⁻²)²
= 51.2 x 10⁻⁴ J
So final energy = 1/2 x 2.5 x (3.7 x 10⁻²)²
= 17.11 x 10⁻⁴ J
energy lost
= 34.1 J .
This energy is dissipated in the form of heat, sound etc.
Answer:
a. [tex]\Delta U=3.375\ N.cm=3.375\times 10^{-2}\ J[/tex]
b. The energy lost during the damping is converted into kinetic energy of the molecules which is heat primarily.
Explanation:
Given:
- mass of the attached object, [tex]m=1.33\ kg[/tex]
- spring constant, [tex]k=2.5\ N.cm^{-1}[/tex]
- maximum displacement, [tex]A=6.4\ cm[/tex]
- maximum displacement after damping, [tex]x=3.7\ cm[/tex]
a)
the energy lost in damping:
[tex]\Delta U=\frac{1}{2} \times k\times A^2-\frac{1}{2} \times k\times x^2[/tex]
[tex]\Delta U=\frac{1}{2} \times 2.5\times (6.4-3.7)[/tex]
[tex]\Delta U=3.375\ N.cm=3.375\times 10^{-2}\ J[/tex]
b)
The energy lost during the damping is converted into kinetic energy of the molecules which is heat primarily.
