Response:
65.14 g
Clarification:
The entropy change resulting from mixing two metals is
![\delta S= R[(n_{cu}+n_{Ni})ln(n_{cu}+n_{Ni})-n_{cu}lnn_{cu}-n_{Ni}lnn_{Ni}]](https://tex.z-dn.net/?f=%5Cdelta%20S%3D%20R%5B%28n_%7Bcu%7D%2Bn_%7BNi%7D%29ln%28n_%7Bcu%7D%2Bn_%7BNi%7D%29-n_%7Bcu%7Dlnn_%7Bcu%7D-n_%7BNi%7Dlnn_%7BNi%7D%5D)
Here, R is the real gas constant, n_{cu} denotes the moles of copper, while n_{Ni} signifies the moles of nickel.
Therefore, determining the moles of Nickel yields

=1.7 moles
Then substituting n_{Ni} = 1.7 into the equation produces ΔS= 15,
with R= 8.314, and solving gives
![15= R[(n_{cu}+1.7)ln(n_{cu}+1.7)-n_{cu}lnn_{cu}-1.7ln1.7]](https://tex.z-dn.net/?f=15%3D%20R%5B%28n_%7Bcu%7D%2B1.7%29ln%28n_%7Bcu%7D%2B1.7%29-n_%7Bcu%7Dlnn_%7Bcu%7D-1.7ln1.7%5D)
Upon resolving, the quantity of moles of copper in the mixture equals
n_cu= 1.025
Thus, the copper mass is calculated as n_cu×M_cu = 1.025×63.55 = 65.14 g
Consequently, the required mass is found to be = 65.14 g
The soccer ball's initial speed stands at 16.38 m/s. Given that the vertical distance is y = 2.44 m, the horizontal span x = 10.0 m, and the angle of launch θ = 25.0°. The initial velocity comprises two components, Vₓ and V. The calculations are as follows: Vₓ = V cosθ and V = V sinθ. The formula for horizontal distance becomes x = Vₓt. Since g is deemed 0, we can state that: x = Vₓt or 10 = V cos 25 * t. Solving for V gives us 10 = 0.906V * t, thus V * t = 10 / 0.906 = 11.038 m. Regarding the vertical distance (with g being negative due to the upward movement opposing gravity), we use y = V sinθ * t - 1/2 * g * t². Following through with the calculations leads us to determine that the soccer ball's initial speed is indeed 16.38 m/s.
1. f1 = Vs + Vbat Vs fO
2. f1 = Vs Vs - Vbat fO
3. f1 = Vs Vs + Vbat fO
4. f1 = Vs + Vbat Vs - Vbat fO
5. f1 = 2Vs Vs - Vbat fO
6. f1 = Vs - Vbat Vs fO
7. f1 = Vs - Vbat Vs + Vbat fO
8. f1 = fO
9. f1 = 2Vs Vs + Vbat fO
The frequency that is detected is
f= (V+Vr) × fO/ (V + Vs)
The speed of sound is V = Vs
The speed of the receiver is Vr = O
For the speed of the source
Vs = -Vbat, indicating that the bat approaches the wall
Therefore, the correct formula is
f1 = (Vs / (Vs -Vbat)) × fO.
Answer: 24.24 m
Explanation:
A player launches a football 50.0 m at an angle of 61° to the north of west. We will break this down into vertical and horizontal elements.
Horizontal component: 50 cos 61° = 24.24 m directed westward
Vertical component: 50 sin 61° = 43.73 m directed toward the north.
Refer to the diagram below.
Therefore, the westward displacement of the football corresponds to the horizontal component of the displacement, which is 24.24 m.
Discharge refers to the volume of water flowing down a river or stream within a specific timeframe, typically measured in cubic feet per second or gallons per day. Generally, the discharge of a river is calculated by taking the product of the cross-sectional area of water in the channel and the average velocity of water at that section: discharge = area * velocity. In this instance, the result is 0.2 m/s.