I think that the answer is c. good luck
Answer:
12.5752053801 m/s
![80\times 10^{-3}\ m^3/s](https://tex.z-dn.net/?f=80%5Ctimes%2010%5E%7B-3%7D%5C%20m%5E3%2Fs)
No.
Explanation:
Q = Volume flow rate = ![80\ L/s=80\times 10^{-3}\ m^3/s](https://tex.z-dn.net/?f=80%5C%20L%2Fs%3D80%5Ctimes%2010%5E%7B-3%7D%5C%20m%5E3%2Fs)
d = Diameter of pipe = 9 cm
A = Area = ![\dfrac{\pi}{4}d^2](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cpi%7D%7B4%7Dd%5E2)
Volume flow rate is given by
![Q=Av\\\Rightarrow v=\dfrac{Q}{A}\\\Rightarrow v=\dfrac{80\times 10^{-3}}{\dfrac{\pi}{4} (9\times 10^{-2})^2}\\\Rightarrow v=12.5752053801\ m/s](https://tex.z-dn.net/?f=Q%3DAv%5C%5C%5CRightarrow%20v%3D%5Cdfrac%7BQ%7D%7BA%7D%5C%5C%5CRightarrow%20v%3D%5Cdfrac%7B80%5Ctimes%2010%5E%7B-3%7D%7D%7B%5Cdfrac%7B%5Cpi%7D%7B4%7D%20%289%5Ctimes%2010%5E%7B-2%7D%29%5E2%7D%5C%5C%5CRightarrow%20v%3D12.5752053801%5C%20m%2Fs)
Velocity of fluid is 12.5752053801 m/s
The volume flow rate in m³/s is ![80\times 10^{-3}\ m^3/s](https://tex.z-dn.net/?f=80%5Ctimes%2010%5E%7B-3%7D%5C%20m%5E3%2Fs)
The flow of fluid does not depend on the type of water used. Hence the answers would be same. If Q is constant v will be the same irrespective of the type of water used.
Answer:
9. (B) ¼ Mv²
10. (A) √(3gL)
11. 20 N
12. 5 m/s²
Explanation:
9. The rotational kinetic energy is:
RE = ½ Iω²
RE = ½ (½ MR²) (v/R)²
RE = ¼ Mv²
10. Energy is conserved.
Initial potential energy = rotational energy
mgh = ½ Iω²
Mg(L/2) = ½ (⅓ ML²) ω²
g(L/2) = ½ (⅓ L²) ω²
gL = ⅓ L² ω²
g = ⅓ L ω²
ω² = 3g / L
ω = √(3g / L)
The velocity of the top end is:
v = ωL
v = √(3gL)
11. Sum of torques about the hinge:
∑τ = Iα
-(Mg) (L/2) + (T) (r) = 0
T = MgL / (2r)
T = (3.00 kg) (10 m/s²) (1.60 m) / (2 × 1.20 m)
T = 20 N
12. Sum of forces on the block in the -y direction:
∑F = ma
mg − T = ma
Sum of torques on the pulley:
∑τ = Iα
TR = (½ MR²) (a / R)
T = ½ Ma
Substitute:
mg − ½ Ma = ma
mg = (m + ½ M) a
a = mg / (m + ½ M)
Plug in values:
a = (3.0 kg) (10 m/s²) / (3.0 kg + ½ (6.0 kg))
a = 5 m/s²
The answer is the particles move faster
Answer:
potential
Explanation:At this point the energy is stored in a form called potential energy. This means that the system has the potential to do work or to become active thanks here to the weight's position high above the lowest point of its swing.