Answer:
v= 4 m/s
Explanation:
Momenutm is, by definition, the product of mass and velocity.
![p = mv](https://tex.z-dn.net/?f=p%20%3D%20mv)
Let's replace what we know and solve for whatever's left
![100 kg\cdot m/s = 25kg \cdot v \rightarrow v= 4 m/s](https://tex.z-dn.net/?f=100%20kg%5Ccdot%20m%2Fs%20%3D%2025kg%20%5Ccdot%20v%20%5Crightarrow%20v%3D%204%20m%2Fs)
Explanation:
Power of electric kettle, P = 1 kW
Voltage, V = 220 V
(a) Electric power is given by the formula as follows :
![P=\dfrac{V^2}{R}](https://tex.z-dn.net/?f=P%3D%5Cdfrac%7BV%5E2%7D%7BR%7D)
R is resistance
![R=\dfrac{V^2}{P}\\\\R=\dfrac{(220)^2}{10^3}\\\\R=48.4\ \Omega](https://tex.z-dn.net/?f=R%3D%5Cdfrac%7BV%5E2%7D%7BP%7D%5C%5C%5C%5CR%3D%5Cdfrac%7B%28220%29%5E2%7D%7B10%5E3%7D%5C%5C%5C%5CR%3D48.4%5C%20%5COmega)
(b) When connected to a 220 V supply, it takes 3 minutes for the water in the kettle to reach boiling point.
Energy supplied is given by :
![E=P\times t](https://tex.z-dn.net/?f=E%3DP%5Ctimes%20t)
P is power, ![P=\dfrac{V^2}{R}](https://tex.z-dn.net/?f=P%3D%5Cdfrac%7BV%5E2%7D%7BR%7D)
![E=\dfrac{V^2}{R}t\\\\E=\dfrac{(220)^2}{48.4}\times 180\\\\E=180000\ J\\\\E=180\ kJ](https://tex.z-dn.net/?f=E%3D%5Cdfrac%7BV%5E2%7D%7BR%7Dt%5C%5C%5C%5CE%3D%5Cdfrac%7B%28220%29%5E2%7D%7B48.4%7D%5Ctimes%20180%5C%5C%5C%5CE%3D180000%5C%20J%5C%5C%5C%5CE%3D180%5C%20kJ)
Answer:
KE₂ = 6000 J
Explanation:
Given that
Potential energy at top U₁= 7000 J
Potential energy at bottom U₂= 1000 J
The kinetic energy at top ,KE₁= 0 J
Lets take kinetic energy at bottom level = KE₂
Now from energy conservation
U₁+ KE₁= U₂+ KE₂
Now by putting the values
U₁+ KE₁= U₂+ KE₂
7000+ 0 = 1000+ KE₂
KE₂ = 7000 - 1000 J
KE₂ = 6000 J
Therefore the kinetic energy at bottom is 6000 J.
Answer:
Explanation:
The centripetal acceleration requirement must equal gravity at the top of the circle
mg = mv²/R
v = √Rg
v = √(1.0(9.8))
v = 3.1304951...
v = 3.1 m/s
Answer:
Final velocity v=19.83 m/sec
Explanation:
We have given initial velocity u =5.13 m/sexc
Acceleration of automobile ![a=3m/sec^2](https://tex.z-dn.net/?f=a%3D3m%2Fsec%5E2)
Time t =4.9 sec
We have to find the final velocity v
According to first law of motion v = u+at ,here v is the final velocity , a is acceleration and t is time
So ![v=5.13+3\times 4.9=19.83m/sec](https://tex.z-dn.net/?f=v%3D5.13%2B3%5Ctimes%204.9%3D19.83m%2Fsec)
So the final velocity is 19.83 m/sec