D. is the answer to your question
Answer:
τ = 1679.68Nm
Explanation:
In order to calculate the required torque you first take into account the following formula:
(1)
τ: torque
I: moment of inertia of the merry-go-round
α: angular acceleration
Next, you use the following formulas for the calculation of the angular acceleration and the moment of inertia:
(2)
(3) (it is considered that the merry-go-round is a disk)
w: final angular speed = 3.1 rad/s
wo: initial angular speed = 0 rad/s
M: mass of the merry-go-round = 432 kg
R: radius of the merry-go-round = 2.3m
You solve the equation (2) for α. Furthermore you calculate the moment of inertia:
Finally, you replace the values of the moment of inertia and angular acceleration in the equation (1):
The required torque is 1679.68Nm
Answer:
We would likely see a decrease in the demand for energy drinks.
Explanation:
Answer:
I = 5000 A
Explanation:
We will use Ampere's Law to calculate the current:
where,
B = Magnetic Field Strength = 0.1 mT = 1 x 10⁻⁴ T
μ = Permeability of Free Space = 4π x 10⁻⁷ N/A²
I = Current = ?
r = radius = 10 m
Therefore,
<u>I = 5000 A</u>
<u>MOMENTUM IS CONSERVED</u> (law of Nature)
That means that momentum can move from one object to another object, but it's never created or destroyed. The amount of momentum AFTER something is the same as it was BEFORE.
<u></u>
<u>Before:</u>
(ball momentum = 12), (pin momentum = 0)
Ball + Pin = 12 unts
<u></u>
<u>After:</u>
Momentum is conserved.
Ball + Pin still has to be 12 units
Ball = 8 units
So Pin has to be the other <em>4 units</em>.