Answer:
0.14594 g/cm³
Explanation:
Density = Mass / Volume
Mass = 5400 g
Volume = 0.37 m³
Density = M /V
volume = 0.37 m³ = 37000 cm³
Density = ![\frac{5400}{37000}](https://tex.z-dn.net/?f=%5Cfrac%7B5400%7D%7B37000%7D)
= 0.14594 g/cm³
A . Thermal
Thermal Energy, or heat, is the internal energy in substance the vibration & movement of the atoms & molecules within substances. Geothermal energy is an example of thermal energy.
Answer: The magnitude of impulse imparted to the ball by the golf club is 2.2 N seconds
Explanation:
Force applied on the golf ball = ![5.0\times 10^3 N](https://tex.z-dn.net/?f=5.0%5Ctimes%2010%5E3%20N)
Mass of the ball = 0.05 kg
Velocity with which ball is accelerating = 44 m/s
Time period over which forece applied = t
![f=ma=\frac{m\times v}{t}](https://tex.z-dn.net/?f=f%3Dma%3D%5Cfrac%7Bm%5Ctimes%20v%7D%7Bt%7D)
![t=\frac{0.05 kg\times 44m/s}{5.0\times 10^3 N}=4.4\times 10^{-4} seconds](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B0.05%20kg%5Ctimes%2044m%2Fs%7D%7B5.0%5Ctimes%2010%5E3%20N%7D%3D4.4%5Ctimes%2010%5E%7B-4%7D%20seconds)
Newton seconds
The magnitude of impulse imparted to the ball by the golf club is 2.2 N seconds
Answer:
Power output: W=1426.9MW
Explanation:
The power output of the falls is given mainly by its change in potential energy:
![Q=-P_{tot}=-(P_{2}-P_{1})](https://tex.z-dn.net/?f=Q%3D-P_%7Btot%7D%3D-%28P_%7B2%7D-P_%7B1%7D%29)
The potential energy for any point can be calculated as:
![P=m*g*h](https://tex.z-dn.net/?f=P%3Dm%2Ag%2Ah)
If we consider the base of the falls to be the reference height, at point 2 h=0, so P2=0, and height at point 1 equals 52m:
![Q=P_{1}=m*g*h](https://tex.z-dn.net/?f=Q%3DP_%7B1%7D%3Dm%2Ag%2Ah)
If we replace m with the mass rate M we obtain the rate of change in potential energy over time, so the power generated:
![W=M*g*h=2.8*10^{3}m^{3}/s*1*10^{3}kg/m^{3}*9.8m/s^{2}*52m =1426.9MW](https://tex.z-dn.net/?f=W%3DM%2Ag%2Ah%3D2.8%2A10%5E%7B3%7Dm%5E%7B3%7D%2Fs%2A1%2A10%5E%7B3%7Dkg%2Fm%5E%7B3%7D%2A9.8m%2Fs%5E%7B2%7D%2A52m%20%3D1426.9MW)
Answer:
![124.62\ \text{rad/s}](https://tex.z-dn.net/?f=124.62%5C%20%5Ctext%7Brad%2Fs%7D)
![3.71\ \text{m/s}](https://tex.z-dn.net/?f=3.71%5C%20%5Ctext%7Bm%2Fs%7D)
![1.23\ \text{km/s}^2](https://tex.z-dn.net/?f=1.23%5C%20%5Ctext%7Bkm%2Fs%7D%5E2)
![20.28\ \text{m}](https://tex.z-dn.net/?f=20.28%5C%20%5Ctext%7Bm%7D)
Explanation:
r = Radius of disk = 7.9 cm
N = Number of revolution per minute = 1190 rev/minute
Angular speed is given by
![\omega=N\dfrac{2\pi}{60}\\\Rightarrow \omega=1190\times \dfrac{2\pi}{60}\\\Rightarrow \omega=124.62\ \text{rad/s}](https://tex.z-dn.net/?f=%5Comega%3DN%5Cdfrac%7B2%5Cpi%7D%7B60%7D%5C%5C%5CRightarrow%20%5Comega%3D1190%5Ctimes%20%5Cdfrac%7B2%5Cpi%7D%7B60%7D%5C%5C%5CRightarrow%20%5Comega%3D124.62%5C%20%5Ctext%7Brad%2Fs%7D)
The angular speed is ![124.62\ \text{rad/s}](https://tex.z-dn.net/?f=124.62%5C%20%5Ctext%7Brad%2Fs%7D)
r = 2.98 cm
Tangential speed is given by
![v=r\omega\\\Rightarrow v=2.98\times 10^{-2}\times 124.62\\\Rightarrow v=3.71\ \text{m/s}](https://tex.z-dn.net/?f=v%3Dr%5Comega%5C%5C%5CRightarrow%20v%3D2.98%5Ctimes%2010%5E%7B-2%7D%5Ctimes%20124.62%5C%5C%5CRightarrow%20v%3D3.71%5C%20%5Ctext%7Bm%2Fs%7D)
Tangential speed at the required point is ![3.71\ \text{m/s}](https://tex.z-dn.net/?f=3.71%5C%20%5Ctext%7Bm%2Fs%7D)
Radial acceleration is given by
![a=\omega^2r\\\Rightarrow a=124.62^2\times 7.9\times 10^{-2}\\\Rightarrow a=1226.88\approx 1.23\ \text{km/s}^2](https://tex.z-dn.net/?f=a%3D%5Comega%5E2r%5C%5C%5CRightarrow%20a%3D124.62%5E2%5Ctimes%207.9%5Ctimes%2010%5E%7B-2%7D%5C%5C%5CRightarrow%20a%3D1226.88%5Capprox%201.23%5C%20%5Ctext%7Bkm%2Fs%7D%5E2)
The radial acceleration is
.
t = Time = 2.06 s
Distance traveled is given by
![d=vt\\\Rightarrow d=\omega rt\\\Rightarrow d=124.62\times 7.9\times 10^{-2}\times 2.06\\\Rightarrow d=20.28\ \text{m}](https://tex.z-dn.net/?f=d%3Dvt%5C%5C%5CRightarrow%20d%3D%5Comega%20rt%5C%5C%5CRightarrow%20d%3D124.62%5Ctimes%207.9%5Ctimes%2010%5E%7B-2%7D%5Ctimes%202.06%5C%5C%5CRightarrow%20d%3D20.28%5C%20%5Ctext%7Bm%7D)
The total distance a point on the rim moves in the required time is
.