Answer:
392 N
Explanation:
Draw a free body diagram of the rod. There are four forces acting on the rod:
At the wall, you have horizontal and vertical reaction forces, Rx and Ry.
At the other end of the rod (point X), you have the weight of the sign pointing down, mg.
Also at point X, you have the tension in the wire, T, pulling at an angle θ from the -x axis.
Sum of the moments at the wall:
∑τ = Iα
(T sin θ) L − (mg) L = 0
T sin θ − mg = 0
T = mg / sin θ
Given m = 20 kg and θ = 30.0°:
T = (20 kg) (9.8 m/s²) / (sin 30.0°)
T = 392 N
Answer:
Figure attached
We can conclude that majority of the values are positive. And we can say that is skewed to the right because the Median< Mean is and we have most of the values at the left of the distribution.
Explanation:
We can use the following R code to obtain the data for wdiff:
source("http://www.openintro.org/stat/data/cdc.R") #obtain the info
nrow(cdc) # number of elements
names(cdc) # obtain the name for the variable
[1] "genhlth" "exerany" "hlthplan" "smoke100" "height" "weight" "wtdesire" "age"
[9] "gender"
wdiff represent the difference between desired weight (wtdesire) and current weight (weight) and we can obtain the data with the following code:
wdiff <- (cdc$weight-cdc$wtdesire)
And now we can create the histogram with this code
hist(wdiff,xlim =c(-100,150))
> mean(wdiff)
[1] 14.5891
> median(wdiff)
[1] 10
And the result is on the figure attached.
And we can conclude that majority of the values are positive. And we can say that is skewed to the right because the Median< Mean is and we have most of the values at the left of the distribution.
Answer:
E)The gravitational force increases by a factor of 4.
Explanation:
Isaac Newton presented the law of Universal Gravitation in his book published in 1687, "Philosophiae Naturalis Principia Mathematica". According to this Newton's law, the more mass the objects possess, the greater the force of attraction, and the closer they are to each other, the greater that force will be.
All material particles and all bodies attract each other simply by having mass, in direct proportion to their masses.<u> Gravity has an infinite theoretical scope; but, the force is greater if the objects are close, and while they are moving away that force loses intensity in proportion to the square of the distance that separates the bodies</u>. For example, if one object moves away from another three times the distance, then the force of gravity is reduced to the ninth part or vice versa if the distance between objects decreases with a factor of 2, the gravitational force increases a factor of 4.
Newton's law of universal gravitation is expressed as follows
:
Fg = G * M1 * M2 / (r12)^2
Where:
Fg: gravitational force
G: it is the universal gravitation constant and is worth approximately 6,674 * 10 -11
M1 and M2: mass of objects
r12: distance between objects