In an extremely simplified explanation,
What happens is that the steam (heat) that is generated by the burning of coal is used to rotate the motor of the steam engine.
Answer:
Height, H = 25.04 meters
Explanation:
Initially the ball is at rest, u = 0
Time taken to fall to the ground, t = 2.261 s
Let H is the height from which the ball is released. It can be calculated using the second equation of motion as :
![H=ut+\dfrac{1}{2}at^2](https://tex.z-dn.net/?f=H%3Dut%2B%5Cdfrac%7B1%7D%7B2%7Dat%5E2)
Here, a = g
H = 25.04 meters
So, the ball is released form a height of 25.04 meters. Hence, this is the required solution.
Light waves travel in straight lines when they are travelling in a uniform medium. This is because the waves are travelling at the same speed.
Answer:
a) 316880878140.2895 Joules
b) 1056.26 Joules
c) 372.80103310622 km²
Explanation:
Energy consumption
![E=\frac{P}{t}\\\Rightarrow E=\frac{1\times 10^{19}}{365.25\times 24\times 60\times 60}\\\Rightarrow E=316880878140.2895\ W](https://tex.z-dn.net/?f=E%3D%5Cfrac%7BP%7D%7Bt%7D%5C%5C%5CRightarrow%20E%3D%5Cfrac%7B1%5Ctimes%2010%5E%7B19%7D%7D%7B365.25%5Ctimes%2024%5Ctimes%2060%5Ctimes%2060%7D%5C%5C%5CRightarrow%20E%3D316880878140.2895%5C%20W)
Average rate of electrical energy consumption is 316880878140.2895 Joules
Total population = 300 million
![E=\frac{316880878140.2895}{300\times 10^6}\\\Rightarrow E=1056.26\ J](https://tex.z-dn.net/?f=E%3D%5Cfrac%7B316880878140.2895%7D%7B300%5Ctimes%2010%5E6%7D%5C%5C%5CRightarrow%20E%3D1056.26%5C%20J)
Each person consumes 1056.26 Joules.
Efficiency = 0.85
Power from Sun
![0.85\times 1000=850\ W/m^2](https://tex.z-dn.net/?f=0.85%5Ctimes%201000%3D850%5C%20W%2Fm%5E2)
Area
![\frac{316880878140.2895}{850}=372801033.10622\ m^2](https://tex.z-dn.net/?f=%5Cfrac%7B316880878140.2895%7D%7B850%7D%3D372801033.10622%5C%20m%5E2)
Converting to km²
![372801033.10622=\frac{372801033.10622}{1000\times 1000}=372.80103310622\ km^2](https://tex.z-dn.net/?f=372801033.10622%3D%5Cfrac%7B372801033.10622%7D%7B1000%5Ctimes%201000%7D%3D372.80103310622%5C%20km%5E2)
Area required to collect the electrical energy used in the United States is 372.80103310622 km²
Answer:
37.7m/s: principle of conservation of momentum
Explanation:
The principle to make use of is the principle of conservation of momentum which States that the sum of momentum of bodies before collision is equal to the sum of momentum of bodies after collision. This bodies will move with the same velocity after collision.
Momentum = Mass × velocity
For car of mass 2200kg moving with velocity 33m/s:
Momentum of car before collision = 2200×33
= 72,600kgm/s
For the truck of mass 4500kg;
Momentum = 4500 ×(22-(-18)
= 4500×40
= 180000kgm/s
After collision, their momentum is:
Momentum after collision = (2200+4500)v
= 6700v
Using the principle above to get the common velocity v we have
72600+180000 = 6700v
252600 = 6700v
v = 252600/6700
v = 37.7m/s