To calculate the ideal mechanical advantage for an inclined plane, divide th length of the incline by the height of the incline.
Therefore; IMA = L/h
L= 3.0 m, while h =1.0 m
IMA = 3/1
= 3
Therefore the IMA of the ramp is 3
This means the ramp increases the force that is being exerted by 3 times.
Answer:
(a) E=233.56 N/C
(b) The surface charge density of inner surface σ= -5.69×10⁻⁹C/m²
(c)The surface charge density of outer surface σ= 3.25×10⁻⁹C/m²
Explanation:
For Part (a)
The magnitude of the electric field at distance of 15.4 cm from the axis of the shell is given by:
E=λ/2πε₀r
Substitute the given values
![E=\frac{2.00*10^{-9} }{2\pi 8.854*10^{-12}*0.154 }\\ E=233.56N/C](https://tex.z-dn.net/?f=E%3D%5Cfrac%7B2.00%2A10%5E%7B-9%7D%20%7D%7B2%5Cpi%208.854%2A10%5E%7B-12%7D%2A0.154%20%7D%5C%5C%20E%3D233.56N%2FC)
Since the nonconducting rod positively charged,it induces a negative charge -q on the inner surface of conducting shell and a positive charge +q on the outer surface of conducting shell,so the net charge of conducting shell is zero
Part (b)
The surface charge density of inner surface is given by:
σ=-q/A
![=\frac{-q}{2\pi r_{inner} l}\\ =\frac{\frac{-q}{l} }{2\pi r_{inner}}\\](https://tex.z-dn.net/?f=%3D%5Cfrac%7B-q%7D%7B2%5Cpi%20r_%7Binner%7D%20l%7D%5C%5C%20%3D%5Cfrac%7B%5Cfrac%7B-q%7D%7Bl%7D%20%7D%7B2%5Cpi%20r_%7Binner%7D%7D%5C%5C)
= -λ/2πr
![=\frac{-2.0*10^{-9} }{2\pi (0.056)}\\ =-5.69*10^{-9}C/m^{2}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B-2.0%2A10%5E%7B-9%7D%20%7D%7B2%5Cpi%20%280.056%29%7D%5C%5C%20%3D-5.69%2A10%5E%7B-9%7DC%2Fm%5E%7B2%7D)
Part(c)
Similarly the surface charge density on the outer surface of the cylindrical shell given by:
σ=λ/2πr
The energy in a firecracker is completely chemical energy, in the gunpowder
or whatever else it's loaded with. When that powder burns, the smoke and hot
gas creates high pressure inside the can, which eventually blows the can open,
blowing out all the little burning grains of powder, and sending a shock wave out
through the surrounding air to make the 'POP'. So you have the chemical energy
released as heat, kinetic energy of all the fragments that fly out, and electromagnetic
energy of the heat and the visible light. That looks like Choice-'D'.
Answer:
28.23 years
Explanation:
I = 1100 A
L = 230 km = 230, 000 m
diameter = 2 cm
radius, r = 1 cm = 0.01 m
Area, A = 3.14 x 0.01 x 0.01 = 3.14 x 10^-4 m^2
n = 8.5 x 10^28 per cubic metre
Use the relation
I = n e A vd
vd = I / n e A
vd = 1100 / (8.5 x 10^28 x 1.6 x 10^-19 x 3.14 x 10^-4)
vd = 2.58 x 10^-4 m/s
Let time taken is t.
Distance = velocity x time
t = distance / velocity = L / vd
t = 230000 / (2.58 x 10^-4) = 8.91 x 10^8 second
t = 28.23 years
An isotope is one of 2+ types of the same element, which will have the same number of protons but a different number of neutrons in its nucleus. This means that the relative atomic mass may be different among isotopes, but the chemical properties will remain the same. Isotopes are usually found in radioactive forms of an element.