To evaluate the answer of Harry:
8-(2+5)8-(2+5)
= -55
To evaluate the answer of Terry:
8-2+58-2+5
= 66
HH = -55
TT = 66
H-TH-T
5-65-5
= -65
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)
Answer:
5
Step-by-step explanation:
The largest exponent is the degree of the polynomial. Therefore, the degree is 5.
This creates a right triangle. One leg of the triangle is 25 feet and the other is 10 feet. To find the length of the ladder, we must use Pythagorean theorem.
a = 25
b = 10
c = ?
(25)^2 + (10)^2 = c^2. Square all the terms to the left of the equation and add them together.
725 = c^2. Take the square root of each side.
c = 26.93 feet.
The ladder needs to be 26.93 feet tall.
