Electric field = potential difference
-----------------------------
distance between plates
Distance between plates = 45
----------
500
= 0.09 meters.
Answer:
Density of 18.0-karat gold mixture is
.
Explanation:
A mixture of 18 parts gold, 5 parts silver, and 1 part copper.
Let mass of gold be 18x
Let the mass of silver be 5x
Let the mass of copper be 1x
The density of gold = ![19.32g/cm^3](https://tex.z-dn.net/?f=19.32g%2Fcm%5E3)
The density of silver = ![10.1g/cm^3](https://tex.z-dn.net/?f=10.1g%2Fcm%5E3)
The density of copper =![8.8g/cm^3](https://tex.z-dn.net/?f=%208.8g%2Fcm%5E3)
![Volume=\frac{Mass}{Density}](https://tex.z-dn.net/?f=Volume%3D%5Cfrac%7BMass%7D%7BDensity%7D)
Volume of the gold in the mixture = ![V_1=\frac{18x}{19.32 g/cm^3}](https://tex.z-dn.net/?f=V_1%3D%5Cfrac%7B18x%7D%7B19.32%20g%2Fcm%5E3%7D)
Volume of the silver in the mixture = ![V_2=\frac{5x}{10.1 g/cm^3}](https://tex.z-dn.net/?f=V_2%3D%5Cfrac%7B5x%7D%7B10.1%20g%2Fcm%5E3%7D)
Volume of the copper in the mixture = ![V_3=\frac{1x}{8.8 g/cm^3}](https://tex.z-dn.net/?f=V_3%3D%5Cfrac%7B1x%7D%7B8.8%20g%2Fcm%5E3%7D)
Mass of the mixture = M = 18x+5x+1x =24x
Volume of the mixture = ![V_1+V_2+V_3](https://tex.z-dn.net/?f=V_1%2BV_2%2BV_3)
Density of the mixture:
![\frac{M}{V_1+V_2+V_3}=15.58 g/cm^3](https://tex.z-dn.net/?f=%5Cfrac%7BM%7D%7BV_1%2BV_2%2BV_3%7D%3D15.58%20g%2Fcm%5E3)
Initial speed of the car (u) = 15 m/s
Final speed of the car (v) = 0 m/s (Car comes to a complete stop after driver applies the brake)
Distance travelled by the car before it comes to halt (s) = 63 m
By using equation of motion, we get:
![\bf \longrightarrow {v}^{2} = {u}^{2} + 2as \\ \\ \rm \longrightarrow {0}^{2} = {15}^{2} + 2 \times a \times 63 \\ \\ \rm \longrightarrow 0 = 225 + 126a \\ \\ \rm \longrightarrow 126a = - 225 \\ \\ \rm \longrightarrow a = - \dfrac{225}{126} \\ \\ \rm \longrightarrow a = - 1.78 \: m {s}^{ - 2}](https://tex.z-dn.net/?f=%20%5Cbf%20%5Clongrightarrow%20%20%7Bv%7D%5E%7B2%7D%20%20%3D%20%20%7Bu%7D%5E%7B2%7D%20%20%2B%202as%20%5C%5C%20%20%5C%5C%20%5Crm%20%5Clongrightarrow%20%20%7B0%7D%5E%7B2%7D%20%20%3D%20%20%7B15%7D%5E%7B2%7D%20%20%2B%202%20%5Ctimes%20a%20%5Ctimes%2063%20%5C%5C%20%20%5C%5C%20%5Crm%20%5Clongrightarrow%200%20%3D%20225%20%2B%20126a%20%5C%5C%20%20%5C%5C%20%5Crm%20%5Clongrightarrow%20126a%20%3D%20%20-%20225%20%5C%5C%20%20%5C%5C%20%5Crm%20%5Clongrightarrow%20a%20%3D%20%20-%20%20%5Cdfrac%7B225%7D%7B126%7D%20%20%5C%5C%20%20%5C%5C%20%5Crm%20%5Clongrightarrow%20a%20%3D%20%20-%201.78%20%5C%3A%20m%20%7Bs%7D%5E%7B%20-%202%7D%20)
Acceleration of the car (a) = -1.78 m/s²
Magnitude of the car's acceleration (|a|) = 1.78 m/s²
Answer:
Hence, work done= 287.54 J
Explanation:
Given data:
angle of ramp with the ground θ =20°
force applied = 76 N
work done on the crate to slide down 4 m down the ramp
W= F×d cosθ ( only the cos component of the force will slide the crate down)
W= 76×4×cos20= 287.54 J
Answer:
Explanation:
Wind is air in motion. It is produced by the uneven heating of the earth's surface by the sun. Since the earth's surface is made of various land and water formations, it absorbs the sun's radiation unevenly. Two factors are necessary to specify wind: speed and direction.