A) The total energy of the system is sum of kinetic energy and elastic potential energy:
where
m is the mass
v is the speed
k is the spring constant
x is the elongation/compression of the spring
The total energy is conserved, so we can calculate its value at any point of the motion. If we take the point of maximum displacement:
then the velocity of the system is zero, so the total energy is just potential energy, and it is equal to
b) When the position of the object is
the potential energy of the system is
and so the kinetic energy is
since the mass is
, and the kinetic energy is given by
we can re-arrange the formula to find the speed of the object:
c) The potential energy when the object is at
is
Therefore the kinetic energy is
d) We already found the potential energy at point c, and it is given by
Answer:
The speed is equals to 22.49 m/s
Explanation:
Given Data:
Required:
Speed of Traverse wave = c =?
Solution:
As we know that
Now the equation for speed of traverse wave is calculated through:
=
Substituting the values
=22.49 m/s
Complete Question
The complete question is shown on the first uploaded image
Answer:
the compass direction of the resultant displacement is south of west
Explanation:
Generally using cosine we can obtain the resultant R as follows
=>
=>
We can obtain the direction of the resultant by first using sine rule to obtain angle C as follows
=>
=>
=>
Then the direction is obtained as
=>
=>
Hence the compass direction of the resultant displacement is south of west
Answer:
A. Workdone by helium, W = -1.829KJ
B. Internal energy, DE = 25.271KJ
Explanation:
Workdone can be defined as the force moving through a distance. For a gaseous system, when the volume of the gas expands, the system is losing energy. Therefore,
W = -P*DV
Where P is the pressure in pascal
DV is the change in volume in m3
DV = Vfinal - Vinitial
= 23.70 - 5.30
= 18.4L
W = -(0.981 * 18.4)
= -18.0504L.atm
Converting L.atm to joule,
= -18.0504 * 101.325
= -1828.97J
= -1.829KJ
If the system loses heat, Q the rection occurring is Exothermic.
Heat is the transfer of energy from one system to another.
Q = mcDT
Where m is the mass of the system
C is the specific heat capacity
Q = 27.20KJ
Internal energy is the summation of the heat supplied to a system and the workdone by the system
DE = Q + W
DE = 27.10 + (-1.829)
= 25.27KJ
Yes, It probably true. Because the Luster it has a nonmetal, is going to be found in periodic table.
Hope it helped you.
-Charlie