(B)
Explanation:
Centripetal means "towards the center" so the acceleration vector of an object undergoing UCM is always pointed towards the center.
Answer:
v = 31.32 [m/s]
Explanation:
To solve this problem we must use the principle of energy conservation, which tells us that potential energy is converted into kinetic energy or vice versa. The potential energy can be calculated by the product of mass by gravity by height.
where:
Epot = potential energy [J]
m = mass = 25 [kg]
g = gravity acceleration = 9.81 [m/s²]
h = elevation = 50 [m]
Now replacing:
![E_{pot}=25*9.81*50\\E_{pot}= 12262.5[J]](https://tex.z-dn.net/?f=E_%7Bpot%7D%3D25%2A9.81%2A50%5C%5CE_%7Bpot%7D%3D%2012262.5%5BJ%5D)
When the rock falls the potential energy is converted into kinetic energy.
where:
Ek = kinetic energy [J]
v = velocity [m/s]
Now clearing v:
![v^{2} =\frac{E_{k}*2}{m}\\v=\sqrt{(2*12262)/25}\\v = 31.32 [m/s]](https://tex.z-dn.net/?f=v%5E%7B2%7D%20%3D%5Cfrac%7BE_%7Bk%7D%2A2%7D%7Bm%7D%5C%5Cv%3D%5Csqrt%7B%282%2A12262%29%2F25%7D%5C%5Cv%20%3D%2031.32%20%5Bm%2Fs%5D)
Answer:
a. C(F) = (5/9).F - (160/9)
b. They both readings are equal at C = F = - 40
Explanation:
They are telling us that we are looking for a linear function
If C(F) = a.F + b is the linear function, we use the data to find a and b
C(32) = a.32 + b
0 = a.32 + b
b = - (a.32) (1)
And then
C(212) = a.212 + b
100 = a.212 + b (2)
replacing (1) in (2) we obtain
100 = a.212 + [-(a.32)]
100 = a.212 - a.32
100 = 180.a
a = 100/180
a = 5/9
If a = 5/9 then b = -(a.32)
b = - (5/9).32
b = - (160/9) and the linear function is
C(F) = (5/9).F - (160/9)
For b. they are asking us for a X reading. We must equalize C and F
X = (5/9).X - (160/9)
(4/9).X = - (160/9)
X = -40
C = F at temperature X = - 40
We would have to use wind or another source
A,c, and d are your answers :)
