Answer:
Explanation:
- w1 = -20 rev/s (clockwise)
I1 = 0.5 x m1 x r1²
= 0.5 x 2 x 0.6²
= 0.36 kg.m²
m2 = 2 kg
r2 = 40 cm = 0.4 m
w2 = 20 rev/s (counter clockwise)
I2 = 0.5 x m2 x r2²
= 0.5 x 2 x 0.4²
= 0.16 kg.m²
let wf be the final angular velocity of the two disks.
Applying conservation of angular momentum ;
(I1 + I2) x wf = I1 x w1 + I2 x w2
wf = (I1 x w1 + I2 x w2) / (I1 + I2)
= (0.36 x (-20) + 0.16 x 20 )/(0.36 + 0.16)
= -7.69rev/s
The negative sign indicates the disks rotate clockwise direction.
(a) The time taken for the projectile to reach the maximum height is 32.65 s.
(b) The horizontal range of the projectile is 9,049.1 m.
The given parameters:
- Initial velocity of the projectile, u = 320 m/s
- Angle of projection, = 30 degrees
The time taken for the projectile to reach the maximum height is calculated as follows;
The horizontal range of the projectile is calculated as follows;
Learn more about horizontal range here: brainly.com/question/12870645
As you run toward a source of sound, you perceive the frequency of that sound to decrease.
<u>Explanation:</u>
Doppler's effect is a principle used to describe the frequency and the intensity of sound and wavelengths of a source and observer with the two possibilities.
(i) Stationary sound source and moving observer.
(ii) Moving sound source and a stationary observer. It is a relative motion.
Consider when the observer is moving towards a source, the frequency of the sound will be higher and when moving away from the source, the frequency will decrease.
We use the kinematic equations,
(A)
(B)
Here, u is initial velocity, v is final velocity, a is acceleration and t is time.
Given, 
, 
and 
.
Substituting these values in equation (B), we get
.
Therefore from equation (A),
Thus, the magnitude of the boat's final velocity is 10.84 m/s and the time taken by boat to travel the distance 280 m is 51.63 s
The thickness of the ozone layer (for earth) and the atmosphere.
Mercury is the closest planet to the sun but it isn’t the hottest because it has no atmosphere. Although Venus is the second planet from the sun, it is the hottest because of it’s thick atmosphere and the clouds that trap heat in.
