By the work-energy theorem, the total work done on the mass by the spring is equal to the change in the mass's kinetic energy:
<em>W</em> = ∆<em>K</em>
and the work done by a spring with constant <em>k</em> as it gets compressed a distance <em>x</em> is -1/2 <em>kx</em> ²; the work it does is negative because the restoring force of the spring points opposite the direction in which it's getting compressed.
So we have
-1/2 <em>k</em> (0.15 m)² = 0 - 1/2 (2.0 kg) (3.0 m/s)²
Solve for <em>k</em> to get <em>k</em> = 800 N/m.
Answer:
Scientists believe that light is made of waves because experiments have shown that, based on Huygens's principle, waves have the ability to bend and change direction.
Explanation:
Answer:
The two value of the wavelength for the out of tune guitar is
Explanation:
From the question we are told that
The wavelength of the note is 
The difference in beat frequency is 
Generally the frequency of the note played by the guitar that is in tune is
Where 
is the speed of sound with a constant value 
The difference in beat is mathematically represented as
Where 
is the frequency of the sound from the out of tune guitar
substituting values
The wavelength for this frequency is
For the second value of the second frequency
The wavelength for this frequency is
Answer:Solar system formed about 4.6 billion year ago, when gravity pulled together low-density cloud of interstellar gas and dust (called a nebula)(movie). The Orion Nebula, an interstellar cloud in which star systems and possibly planets are forming. Initially the cloud was about several light years across.
Explanation:
