Answer:
a) -1.25 rev/s² and 23.3 rev
b) 2.67s
Explanation:
a) ω
= (500 rev/min)(1min/ 60s) => 8.333 rev/s
ω
= (200 rev/min)(1min/ 60s) => 3.333rev/s
time 't'= 4 s
angular acceleration 'α
'=?
constant angular acceleration equation is given by,
ω
= ω
+ α
t
α
= (ω
- ω
)/t => (3.333-8.333)/4
α
= -1.25 rev/s²
θ-θ
= ω
t + 1/2α
t²
=(8.333)(4) + 1/2 (-1.25)(4)²
=23.3 rev
b) ω
=0 (comes to rest)
ω
= 3.333 rev/s
α
= -1.25 rev/s²
ω
= ω
+ α
t
t= (ω
- ω
)/α
=> (0- 3.333)/-1.25
t= 2.67s
To solve this problem we will apply the concepts related to power as a function of the change of energy with respect to time. But we will consider the energy in the body equivalent to kinetic energy. The change in said energy will be the difference between the two velocity data given by half of the mass. We will first convert the given units into an international system like this
Initial Velocity,


Final Velocity,


Now Power is defined as the change of Energy over the time,

But Energy is equal to Kinetic Energy,


Replacing,


Therefore the correct answer is A.
Charge quantization is the principle that the charge of any object is an integer multiple of the elementary charge. Thus, an object's charge can be exactly 0 e, or exactly 1 e, −1 e, 2 e, etc., but not, say, 12 e, or −3.8 e, etc.
<span>If an element has a charge of 2+, It has 2 more proton than electrons</span>
According to the statement we can deduce that the resulting amplitude of the wave pulse is zero when there is a destructive interference of two pulses and the chain is straight. At this point the potential energy will be zero, therefore when applying the energy conservation theorem, the potential energy must be equal to the kinetic energy and be conserved. The potential energy will be totally transferred as kinetic energy and therefore that will be the only energy present in the string.
Thus, the option C is correct.