Answer:
The kinetic energy of the roller coaster is 1600000 J.
Step-by-step explanation:
Given:
Mass of the roller coaster is 8000 Newton's and speed 20.0 meters/seconds.
Now, we need to find the kinetic energy
of the roller coaster.
So, Mass of roller coaster (m) = 8000 N.
Velocity of roller coaster (v) = 20.0 m/s.
Now, putting the formula of kinetic energy:
![E_{k} = \frac{1}{2}\times m\times v^{2}](https://tex.z-dn.net/?f=E_%7Bk%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20m%5Ctimes%20v%5E%7B2%7D)
![E_{k}=\frac{1}{2} \times 8000\times 20^{2}](https://tex.z-dn.net/?f=E_%7Bk%7D%3D%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%208000%5Ctimes%2020%5E%7B2%7D)
![E_{k}=\frac{1}{2} \times 8000\times 400](https://tex.z-dn.net/?f=E_%7Bk%7D%3D%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%208000%5Ctimes%20400)
![E_{k}=\frac{1}{2} \times 3200000](https://tex.z-dn.net/?f=E_%7Bk%7D%3D%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%203200000)
![E_{k}=1600000](https://tex.z-dn.net/?f=E_%7Bk%7D%3D1600000)
Therefore, the kinetic energy of the roller coaster is 1600000 J.
Answer:
66.67 miles per hour.
Step-by-step explanation:
How many miles does the car travel in 1.5 hours? Calculating Speed Suppose you travel a distance of 100 miles, and it takes 1 1/2 hours to do it. Your average speed is then 100 miles divided by 1.5 hours which equals 66.67 miles per hour.
The points given to us are:
and
. To find the line that passes through these points, we will use the formula:
![\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%20%5Cfrac%7By-y_1%7D%7Bx-x_1%7D%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%20%20%20)
Thus, employing this formula we get:
![\frac{y-2}{x-1}=\frac{-2-2}{3-1}=\frac{-4}{2}=\frac{x}{y} =-2](https://tex.z-dn.net/?f=%20%5Cfrac%7By-2%7D%7Bx-1%7D%3D%5Cfrac%7B-2-2%7D%7B3-1%7D%3D%5Cfrac%7B-4%7D%7B2%7D%3D%5Cfrac%7Bx%7D%7By%7D%20%3D-2%20)
Thus, ![\frac{y-2}{x-1}=-2](https://tex.z-dn.net/?f=%20%5Cfrac%7By-2%7D%7Bx-1%7D%3D-2%20)
![y-2=-2(x-1)](https://tex.z-dn.net/?f=%20y-2%3D-2%28x-1%29%20)
![y=-2x+2+2=-2x+4](https://tex.z-dn.net/?f=%20y%3D-2x%2B2%2B2%3D-2x%2B4%20)
Thus the slope-intercept form of the line passing through the points (1,2) and (3,-2) is:
and is depicted by the dotted line in the graph attached. Now, since we want the slope-intercept inequality for the graph below the points (1,2) and (3,-2), we will write the inequality as:
. The region that represents the inequality is shown in the graph attached.
1 hour and 43 minutes
if ten to 11 is 1 hr, there is 43 mins left over so the answer is 1 hr 43 mins
25 would be the nearest to your question and complete 100 with the 4