Answer:
(a) α = 35.20 rad/s^2
(b) θ = 802°
(c) v = 139.73 cm/s
(d) a = 156.64 cm/s^2
Explanation:
(a) To find the angular acceleration of the disc you use the following formula:
(1)
w: angular speed of the disc = 31.4 rad/s
wo: initial angular speed = 0 rad/s
t: time = 0.892s
You replace the values of the parameters in the equation (1):

The angular acceleration of the disc, for the given time, is 35.20rad/s^2
(b) To calculate the angle describe by the disc in such a time you use:
(2)

In degrees you have:

The angle described by the disc is 802°
(c) To calculate the tangential speed of the microbe for t=0.892s, you use the following formula:
(3)
w: angular speed for t = 0.892s = 31.4rad/s
r: radius of the disc = 4.45cm

The tangential speed is 139.73 cm/s
(d) The tangential acceleration is calculated by using the following formula:

α: angular acceleration for t=0.892s

The tangential acceleration is 156.64cm/s^2
Answer:
1: the refracted angle in the first face is equal to the incident angle that is 60degrees
2. Emergence Angle is 42degrees
Explanation:
Pls see attached file
Answer:
v₁ =0.19 m/s and v₂ = 0.18 m/s
Explanation:
By conservation of energy and conservation of momentum we can find the velocity of each object after the collision:
<u>Momentum:</u>
Before (b) = After (a)
(1)
<u>Energy:</u>
Before (b) = After (a)
(2)
<u>From equation (1) we have:</u>
(3)
<u>Now, by entering equation (3) into (2) we have: </u>
(4)
By solving equation (4) for
, we will have two values for
We will take the average of both values:
Now, by introducing this value into equation (3) we can find
:

Therefore, the velocity of object 1 and object 2 after the collision is 0.19 m/s and 0.18 m/s, respectively.
I hope it helps you!
Answer:
It might be wrong but d? i think
Answer:
By measuring the speed of light in both in space and that unknown substance
Explanation:
Refractive Index (Index of Refraction) is a value calculated from the ratio of the speed of light in a vacuum to that in a second medium of greater density.
By measuring the speed of light in that medium and dividing it by speed of light 3*10^8 we can measure the refractive index of any medium