Answer:
a) 
, b) 
, c) 
, d) 
Step-by-step explanation:
a) The spring constant is calculated by using this expression:
b) The work needed to compress the spring from its initial position is:
![\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)
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)
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)
D is the answer because the villagers thought he was a liar
Answer:
$20,000
Step-by-step explanation:
You can quickly figure this by recognizing that the difference in commission must be the same as the base salary:
2.5%(car price) = $500
car price = $500/0.025 = $20,000
__
If you prefer, you can get there with equations.
At Job 1, the pay is ...
y = 10%×(car price)
At Job 2, the pay is ...
y = 7.5%×(car price)
Setting the equal (the two opportunities pay the same), we have ...
0.10(car price) = 500 +0.075(car price)
0.025(car price) = 500 . . . . . . . . subtract 0.075(car price)
car price = 500/0.025 = 20,000 . . . . divide by 0.025
Jim would have to sell a $20,000 car each week for the jobs to pay the same.
The height is 22 inches? It says it in the question
Answer:
-40 i think
Step-by-step explanation:
