Answer:

Explanation:
The standard form of the 2nd order differential equation governing the motion of mass-spring system is given by

Where m is the mass, ζ is the damping constant, and k is the spring constant.
The spring constant k can be found by




The damping constant can be found by



Finally, the mass m can be found by



Where g is approximately 32 ft/s²

Therefore, the required differential equation is


The initial position is

The initial velocity is

Answer:
2.7 J
Explanation:
The energy of one photon is given by

where
h is the Planck constant
f is the frequency
For the photons in this problem,

So the energy of one photon is

The number of photons contained in 1.0 mol is
(Avogadro number)
So the total energy of
photons contained in 1.0 mol is

<u>We are given:</u>
Mass of the Steelhead(m) = 9 kg
Velocity of the Steelhead(v) = 16 m/s
<u>Calculating the Kinetic Energy:</u>
KE = 1/2mv²
replacing the variables
KE = 1/2 * 9 * (16)²
KE = 1152 Joules