Answer:
19 times t = how many toy cars Gordon has.
OR
19t= how many toy cars Gordon has
Answer:
a)
, b)
, c)
, d) ![\Delta U_{k} = 4.5\,J](https://tex.z-dn.net/?f=%5CDelta%20U_%7Bk%7D%20%3D%204.5%5C%2CJ)
Step-by-step explanation:
a) The spring constant is calculated by using this expression:
![k = \frac{F}{x}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7BF%7D%7Bx%7D)
![k = \frac{30\,N}{0.1\,m}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B30%5C%2CN%7D%7B0.1%5C%2Cm%7D)
![k = 300\,\frac{N}{m}](https://tex.z-dn.net/?f=k%20%3D%20300%5C%2C%5Cfrac%7BN%7D%7Bm%7D)
b) The work needed to compress the spring from its initial position is:
![\Delta U_{k} = \frac{1}{2}\cdot k \cdot (x_{f}^{2}-x_{o}^{2})](https://tex.z-dn.net/?f=%5CDelta%20U_%7Bk%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20k%20%5Ccdot%20%28x_%7Bf%7D%5E%7B2%7D-x_%7Bo%7D%5E%7B2%7D%29)
![\Delta U_{k} = \frac{1}{2}\cdot (300\,\frac{N}{m} )\cdot [(-0.3\,m)^{2}-(0\,m)^{2}]](https://tex.z-dn.net/?f=%5CDelta%20U_%7Bk%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%28300%5C%2C%5Cfrac%7BN%7D%7Bm%7D%20%29%5Ccdot%20%5B%28-0.3%5C%2Cm%29%5E%7B2%7D-%280%5C%2Cm%29%5E%7B2%7D%5D)
![\Delta U_{k} = 13.5\,J](https://tex.z-dn.net/?f=%5CDelta%20U_%7Bk%7D%20%3D%2013.5%5C%2CJ)
c) The work needed to stretch the spring is:
![\Delta U_{k} = \frac{1}{2}\cdot (300\,\frac{N}{m} )\cdot [(0.2\,m)^{2}-(0\,m)^{2}]](https://tex.z-dn.net/?f=%5CDelta%20U_%7Bk%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%28300%5C%2C%5Cfrac%7BN%7D%7Bm%7D%20%29%5Ccdot%20%5B%280.2%5C%2Cm%29%5E%7B2%7D-%280%5C%2Cm%29%5E%7B2%7D%5D)
![\Delta U_{k} = 6\,J](https://tex.z-dn.net/?f=%5CDelta%20U_%7Bk%7D%20%3D%206%5C%2CJ)
d) The work need to stretch the spring is:
![\Delta U_{k} = \frac{1}{2}\cdot (300\,\frac{N}{m} )\cdot [(0.2\,m)^{2}-(0.1\,m)^{2}]](https://tex.z-dn.net/?f=%5CDelta%20U_%7Bk%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%28300%5C%2C%5Cfrac%7BN%7D%7Bm%7D%20%29%5Ccdot%20%5B%280.2%5C%2Cm%29%5E%7B2%7D-%280.1%5C%2Cm%29%5E%7B2%7D%5D)
![\Delta U_{k} = 4.5\,J](https://tex.z-dn.net/?f=%5CDelta%20U_%7Bk%7D%20%3D%204.5%5C%2CJ)
Answer:
$.08 per mile
Step-by-step explanation:
$2.25 gallon
------------ * ---------------
gallon 28 miles
$2.25
-------------
28 miles
$.080357143 per mile
Rounding to the nearest cent
$.08 per mile
Answer:
his pay check
Step-by-step explanation:
51,400+150 he would be adding more money
A scatter plot that has no correlation shows points that a trend line cannot be drawn through and that their is no correlation between the X values and Y values. A scatter plot with a negative correlation has a correlation between the X and y values where as X increases why decreases. A trend line with a negative slope can also be drawn on a negative correlation scatter plot.
Hope that helped or even made sense