Answer:
w = 0.808 rad / s
Explanation:
As indicated by the moment of inertia t the angular velocity of the disks we use the concept of conservation of the angular momentum, for this we define the system as formed by the two discs, therefore the torque during the crash is internal and the angular momentum is conserved
Let's write in angular momentum
Initial. Before impact
L₀ = I₁ w₁ + I₂ w₂
Final. After the rock has stuck
= (I₁ + I₂) w
The two discs are rotating in opposite directions, we consider the rotation of the first positive disc, so the angular velocity of the second is negative
L₀ =
I₁ w₁ - I₂ w₂ = (I₁ + I₂) w
w = (I₁ w₁ - I₂ w₂) / (I₁ + I₂)
Let's calculate
w = (0.47 2.0 - 0.31 1.0) / (0.47+ 0.31)
w = 0.63 / 0.78
w = 0.808 rad / s
in the direction of disc rotation 1
Answer:
Kinetic energyof the cart is 2450Joule
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Explanation:
a) The equivalent resistance for resistors in series is the sum:
R = R₁ + R₂ + R₃
R = 10 Ω + 20 Ω + 30 Ω
R = 60 Ω
b) The resistors are in series, so they have the same current.
I = V/R
I = 12 V / 60 Ω
I = 0.2 A
c) The voltage drop can be found with Ohm's law:
V₁ = I R₁ = (0.2 A) (10 Ω) = 2 V
V₂ = I R₂ = (0.2 A) (20 Ω) = 4 V
V₃ = I R₃ = (0.2 A) (30 Ω) = 6 V
d) The power lost in each resistor is current times voltage drop:
P₁ = I V₁ = (0.2 A) (2 V) = 0.4 W
P₂ = I V₂ = (0.2 A) (4 V) = 0.8 W
P₃ = I V₃ = (0.2 A) (6 V) = 1.2 W
Shortwave radios have a higher frequency than ultraviolet light