Refer to the diagram shown below.
The basket is represented by a weightless rigid beam of length 0.78 m.
The x-coordinate is measured from the left end of the basket.
The mass at x=0 is 2*0.55 = 1.1 kg.
The weight acting at x = 0 is W₁ = 1.1*9.8 = 10.78 N
The mass near the right end is 1.8 kg.
Its weight is W₂ = 1.8*9.8 = 17.64 N
The fulcrum is in the middle of the basket, therefore its location is
x = 0.78/2 = 0.39 m.
For equilibrium, the sum of moments about the fulcrum is zero.
Therefore
(10.78 N)*(0.39 m) - (17.64 N)*(x-0.39 m) = 0
4.2042 - 17.64x + 6.8796 = 0
-17.64x = -11.0838
x = 0.6283 m
Answer: 0.63 m from the left end.
Well we know the hypotenuse of the triangle which is 253 m. And we know the angle of the triangle which is 55.8 degrees. So we want to find y. And to find y we use sin. And sin is a ratio, the ratio of the opposite leg, and hypotenuse. So sin(55.8) = y/253. Now we solve for y by multiplying both sides by 253. And finally we get 209.25 as the length of the y component.
Answer:
Electric field, ![E=6.86\times 10^6\ N/C](https://tex.z-dn.net/?f=E%3D6.86%5Ctimes%2010%5E6%5C%20N%2FC)
Explanation:
It is given that,
Mass of sphere, m = 2.1 g = 0.0021 kg
Charge, ![q=-3\ nC=-3\times 10^{-9}\ C](https://tex.z-dn.net/?f=q%3D-3%5C%20nC%3D-3%5Ctimes%2010%5E%7B-9%7D%5C%20C)
We need to find the magnitude of electric field that balances the weight of a plastic spheres. So,
![ma=qE](https://tex.z-dn.net/?f=ma%3DqE)
a = g
![E=\dfrac{mg}{q}](https://tex.z-dn.net/?f=E%3D%5Cdfrac%7Bmg%7D%7Bq%7D)
![E=\dfrac{0.0021\ kg\times 9.8\ m/s^2}{-3\times 10^{-9}\ C}](https://tex.z-dn.net/?f=E%3D%5Cdfrac%7B0.0021%5C%20kg%5Ctimes%209.8%5C%20m%2Fs%5E2%7D%7B-3%5Ctimes%2010%5E%7B-9%7D%5C%20C%7D)
![E=6860000\ N/C](https://tex.z-dn.net/?f=E%3D6860000%5C%20N%2FC)
or
![E=6.86\times 10^6\ N/C](https://tex.z-dn.net/?f=E%3D6.86%5Ctimes%2010%5E6%5C%20N%2FC)
Hence, the magnitude of electric field that balances its weight is
. Hence, this is the required solution.
The age of a man whose normal blood pressure measures 123 mm of hg
9 years
<h3>What is Quadratic equation ?</h3>
A quadratic equation as an equation of degree 2, meaning that the highest exponent of this function is 2. The standard form of a quadratic equation is y = a
+ bx + c, where a, b, and c are numbers and a cannot be 0
P(A) = 0.006
- 0.02a + 120
123 = 0.006- 0.02a + 120
0=0.006
- 0.02a - 3
you can use the quadratic equation formula to solve for the man's age.
A = (-b ± (
) ) / (2a)
A = (0.02 ±
/ (2*0.006)
A = (0.02 ±
) / 0.012
A = 9 , -5.67
Age of the man will be 9 years
To learn more about quadratic equation here
brainly.com/question/17177510?referrer=searchResults
#SPJ4
Answer: C) The two particles will move away from each other
Explanation:
When two electrically charged bodies come closer, appears a force that attracts or repels them, depending on the sign of the charges of this two bodies.
This is stated by Coulomb's Law:
"The electrostatic force
between two point charges
and
is proportional to the product of the charges and inversely proportional to the square of the distance
that separates them, and has the direction of the line that joins them"
Mathematically this law is written as:
Where
is a proportionality constant.
Now, if
and
have the same sign charge (both positive or both negative), a repulsive force will act on these charges.