Answer:
The torque about the origin is 
Explanation:
Torque 
is the cross product between force 
and vector position 
respect a fixed point (in our case the origin):
There are multiple ways to calculate a cross product but we're going to use most common method, finding the determinant of the matrix:
![\overrightarrow{r}\times\overrightarrow{F} =-\left[\begin{array}{ccc} \hat{i} & \hat{j} & \hat{k}\\ F1_{x} & F1_{y} & F1_{z}\\ r_{x} & r_{y} & r_{z}\end{array}\right]](https://tex.z-dn.net/?f=%20%5Coverrightarrow%7Br%7D%5Ctimes%5Coverrightarrow%7BF%7D%20%3D-%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%20%5Chat%7Bi%7D%20%26%20%5Chat%7Bj%7D%20%26%20%5Chat%7Bk%7D%5C%5C%20F1_%7Bx%7D%20%26%20F1_%7By%7D%20%26%20F1_%7Bz%7D%5C%5C%20r_%7Bx%7D%20%26%20r_%7By%7D%20%26%20r_%7Bz%7D%5Cend%7Barray%7D%5Cright%5D%20)
Answer:
i don't know if this helps but The refractive index of the material of the prism of an angle 60 degree is 1.62 for sodium light. there you go hope it helps
Explanation:
When the swimmer gets out, the water on her skin begins to evaporate. This process requires takes a lot of energy and that energy comes from the heat of her body. This is similar to when someone sweats. Hope this helps!
Answer:
a) -1.57 rad/s²
b) 800 revolutions
Explanation:
a)In here you can use the equations of velocity as if it were a linear movement. In this case:
wf = wo + at
wo is the innitial angular velocity, that we can get this value using the fact that a revolution is 2π so:
wo = 20 * 2π = 125.66 rad/s
We have the time of 80 seconds, and the final angular speed is zero, because it's going to a rest so:
0 = 125.66 + 80a
a = -125.66 / 80
a = -1.57 rad/s²
b) In this part, we will use the following expression:
Ф = Фo + wo*t + 1/2 at²
But as this it's coming to rest then:
Ф = 1/2at²
solving we have:
Ф = 0.5 * (-1.57)*(80)²
Ф = 5,024 rad
Ф = 5024 / 2π
Ф = 800 revolutions
