Answer
given,
ω₁ = 0 rev/s
ω₂ = 6 rev/s
t = 11 s
Using equation of rotational motion
The angular acceleration is
ωf - ωi = α t
11 α = 6 - 0
= 0.545 rev/s²
The angular displacement
θ₁= ωi t + (1/2) α t²
θ₁= 0 + (1/2) (0.545)(11)^2
θ₁= 33 rev
case 2
ω₁ = 6 rev/s
ω₂ = 0 rev/s
t = 14 s
Using equation of rotational motion
The angular acceleration is
ωf - ωi = α t
14 α = 0 - 6
= - 0.428 rev/s²
The angular displacement
θ₂= ωi t + (1/2) α t²
θ₂= 6 x 14 + (1/2) (-0.428)(14)^2
θ₂= 42 rev
total revolution in 25 s is equal to
θ = θ₁ + θ₂
θ = 33 + 42
θ = 75 rev
The star looks like a desirable hunk of masculinity to Jane. But to John, the star looks like a wimpy momma's boy who might compete with him for Jane's attention. Jane and John have different impressions of the star because of their gender-specific instincts that have evolved during thousands of millenia of human evolution.
Answer:
Sunlight and almost every other form of natural and artificial illumination produces light waves whose electric field vectors vibrate in all planes that are perpendicular with respect to the direction of propagation.
We will use two definitions to solve this problem. The first will be given by the conservation of energy, whereby the change in kinetic energy must be equivalent to work. At the same time, work can be defined as the product between the force by the distance traveled. By matching these two expressions and clearing for the Force we can find the desired variable.
![W = KE_f-KE_i](https://tex.z-dn.net/?f=W%20%3D%20KE_f-KE_i)
![Fd = \frac{1}{2}mv_f^2-\frac{1}{2} mv_i^2](https://tex.z-dn.net/?f=Fd%20%3D%20%5Cfrac%7B1%7D%7B2%7Dmv_f%5E2-%5Cfrac%7B1%7D%7B2%7D%20mv_i%5E2)
Thus the force acting on the sled is,
![F = \frac{m}{2s} (v_f^2-v_i^2)](https://tex.z-dn.net/?f=F%20%3D%20%5Cfrac%7Bm%7D%7B2s%7D%20%28v_f%5E2-v_i%5E2%29)
Replacing,
![F = \frac{8}{2(2.5)}(6^2-4^2)](https://tex.z-dn.net/?f=F%20%3D%20%5Cfrac%7B8%7D%7B2%282.5%29%7D%286%5E2-4%5E2%29)
![F = 32N](https://tex.z-dn.net/?f=F%20%3D%2032N)
Therefore the Force acting on the sled is 32N
Secrete enormous amounts of water, leading to diarrhea and a rapid loss of fluids and salts (electrolytes)