Answer:
<em>0.981 rad/sec^2</em>
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Explanation:
mass that pulls on string = 5 kg
weight due to mass = 5 x 9.81 = 49.05 N
radius of rod = 0.1 m
torque produced by this force on the rod = force x radius
torque = 49.05 x 0.1 = 4.905 N-m
mass of disk = 125 kg
radius of disk = 0.2 m
moment of inertia of the disk I = m
I = 125 x
= 5 kg-m^2
from the equation, <em>T = Iα</em>
where T is torque
I is moment of inertia
α is angular acceleration
imputing values,
4.905 = 5α
α = 4.905/5 = <em>0.981 rad/sec^2</em>
Answer:
(a) R = 1Ω
(b) τ = 3
Explanation:
The time constants of the given circuits are as follows

If the two circuits have equal time constants, then

Therefore, the time constant in any of the circuits is

This question involves the concept of the conservation of energy.
(a) The child's speed halfway will be "12.13 m/s".
(b) The child's speed three-fourth way will be "14.86 m/s".
(a)
Using the <em>law of conservation of energy</em>:
Potential Energy Lost = Kinetic Energy Gained

where,
v = speed = ?
g = acceleration due to gravity = 9.81 m/s²
h = height lost = halfway = height/2 = 15 m/2 = 7.5 m
Therefore,

<u>v = 12.13 m/s</u>
<u />
(b)
Using the <em>law of conservation of energy</em>:
Potential Energy Lost = Kinetic Energy Gained

where,
v = speed = ?
g = acceleration due to gravity = 9.81 m/s²
h = height lost = three-fourth way down = 
Therefore,

<u>v = 14.86 m/s</u>
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Learn more about the <em>law of conservation</em> of energy here:
brainly.com/question/20971995?referrer=searchResults
The attached picture shows the <em>law of conservation of energy</em>.
1 microphone = (presumably) 10⁻⁶ phone
1 phone = (presumably) 10⁶ microphones
(10⁻¹) phone = (presumably) (10⁻¹) x (10⁶ microphones)
= 10⁵ microphones.
Something super duper uper stuper luper nuper tuper zuper yuper fuper guper huper kuper juper wuper special