Answer:
ω = 5.5 rad/s
Explanation:
- Assuming no external torques present during the instant that the clump of clay is dropped on the turntable, total angular momentum must be conserved.
- The angular momentum of a rotating rigid body, can be expressed as follows:
where I = moment of inertia regarding the axis of rotation, and ω =
angular speed of the rotating body.
- Since the angular momentum must keep constant, this means that it must be satisfied the following equality:
where L₀ = I₀ * ω₀, Lf = If * ωf.
I₀ is the moment of inertia of a solid disk rotating around an axis
passing through its center, as follows:
If, is the moment of inertia after dropping the clump of clay, which adds
its own moment of inertia as a point mass, as follows:
- Replacing I₀, If and ω₀ in (2), we can solve for ωf, as follows:
I think the answer you are looking for A compression wave.
Answer:
19.872 degrees
Explanation:
Mathematically;
Using Snell’s law
n1 sin A = n2 sinB
Where ;
n1 = refractive index in air = 1
n2 is refractive index in water = 1.33
A = ?
B = 45
Substituting the values in the equation;
1 sin A = 1.33 sin45
Sin A = 1.33 sin 45
A = arc sin (1.33 sin 45)
A = 70.12
Thus, the actual direction of the Sun with respect to the horizon = 90-A = 19.872 degrees
Answer:
5 m/s
Explanation:
Horizontal distance traveled, x = 2 m
vertical distance traveled, y = 4/5 m
Let the speed of cup as it leaves the counter is v and it takes time t to hit the ground.
Use second equation of motion in vertical direction
Here acceleration in vertical direction is 9.8 m/s^2.
So,
t = 0.4 second
Now in horizontal direction the acceleration in zero.
Horizontal distance = horizontal velocity x time
x = v t
2 = v (0.4)
v = 5 m/s
Thus, the horizontal velocity of cup as it leaves the counter is 5 m/s.
Answer:
a) 5.63 atm
Explanation:
We can use combined gas law
<em>The combined gas law</em> combines the three gas laws:
- Boyle's Law, (P₁V₁ =P₂V₂)
- Charles' Law (V₁/T₁ =V₂/T₂)
- Gay-Lussac's Law. (P₁/T₁ =P₂/T₂)
It states that the ratio of the product of pressure and volume and the absolute temperature of a gas is equal to a constant.
P₁V₁/T₁ =P₂V₂/T₂
where P = Pressure, T = Absolute temperature, V = Volume occupied
The volume of the system remains constant,
So, P₁/T₁ =P₂/T₂
a) 
