Answer:
option C
Explanation:
given,
energy dissipated by the system to the surrounding = 12 J
Work done on the system = 28 J
change in internal energy of the system
Δ U = Q - W
system losses energy = - 12 J
work done = -28 J
Δ U = Q - W
Δ U = -12 -(-28)
Δ U = 16 J
hence, the correct answer is option C
Answer:
A) v = 1.885 m/s
B) v = 0.39 m/s
C) E = 0.03 J
D) 
Explanation:
Part A
We will use the conservation of energy to find the speed at equilibrium.

where
and 
Therefore,

Part B
The conservation of energy will be used again.

where 
Therefore, v = 0.39 m/s.
Part C
Total energy of the system is equal to the potential energy at amplitude.

Part D
The general equation of motion in simple harmonic motion is

where
is the phase angle to be determined by the initial conditions. In this case, the initial condition is that at t = 0, x is maximum. Therefore,

Answer: 
Explanation: In a mass-spring-damper system, the differential equation that rules the motion of the mass is: mx" + cx' + kx = 0
Using m = 4, k = 24 and c = 20, we have
4x" + 20x' + 24x = 0
Simplifying, we have
x" + 5x'+ 6x = 0
The characteristic equation of this differential is

The solutions for the quadratic equation are:
and 
Hence:
x(t) = 
x'(t) = 
To determine the constants, we have the initial conditions x(0) = 4 and
x'(0) = 2, then:


Substituing the constants:

The position function for this system is: 
Answer:
Different elements all have different amounts of electrons in there outter shell.
Explanation
If you look at a periodic table, the elements are all listed in "Groups" up at the top you'll see the numbers, or columns. Each column's number represent how many electrons there are in each particular element.
hope this makes sense....
Aggregat 4, Aggregat 4, Aggregat 4, Aggregat 4,