Answer:
Explanation:
Given data
Electric Field E=2.5×10⁵ N/C
To find
Charge Density
Solution
From definition of charge density we know that:
Charge Density=Electric field×Permttivity
Where Permttivity ∈₀=8.85×10⁻¹²C²/N.m²
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Answer:
The time for the change in the angular velocity to occur is 14.08 secs
Explanation:
From the question,
the angular acceleration is - 4.46 rad/s²
Angular acceleration is given by the formula below
Where is the angular acceleration
is the final angular velocity
is the initial angular velocity
is the final time
is the initial time
From the question
= - 4.46 rad/s²
= 0 rad/s (starting from rest)
= -31.4 rad/s
= 0 s
Now, we will determine t
From , then
t = 7.04 secs
This is the time spent in one direction,
Since the angular displacement of the wheel is zero ( it returned to its initial position), then the time required for the change in the angular velocity will be twice this time, that is 2t
Hence,
The time is 2×7.04 secs = 14.08 secs
This is the time for the change in the angular velocity to occur.
A current of 67 amps runs through a resistor of 37 ohms, how much voltage is lost?
Answer:
The total percent cold work done is 36.46%
Explanation:
Let initial metal thickness = T
Final metal thickness = t
The percent cold work done = WC
Then
%Wc = (T - t)/T × 100
% Wc = ( 0.096 - 0.061 )/0.096 ×100
Total %WC = 36.46%
Answer:
The total percent of cold work is 57.34%
Explanation:
Let x the initial thickness of the sheet. After 33% of cold working, the thickness is 0.096 in. Then:
x - 0.33x = 0.096
x = 0.143 in
the final thickness is equal to 0.061 in. The percent of cold work done is:
%
O
A. Fewer health problems
O
O
B. All of these
C. Making more money
O
D. A lower divorce rate
The benefits of learned optimism that have been found in research are Fewer health problems, Making more money, and a lower divorce rate. The correct option is B.
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Answer:
115 ⁰C
Explanation:
Step 1: The heat needed to melt the solid at its melting point will come from the warmer water sample. This implies
-----eqution 1
where,
is the heat absorbed by the solid at 0⁰C
is the heat absorbed by the liquid at 0⁰C
the heat lost by the warmer water sample
Important equations to be used in solving this problem
, where -----equation 2
q is heat absorbed/lost
m is mass of the sample
c is specific heat of water, = 4.18 J/0⁰C
is change in temperature
Again,
-------equation 3
where,
q is heat absorbed
n is the number of moles of water
tex]\delta {_f_u_s}[/tex] is the molar heat of fusion of water, = 6.01 kJ/mol
Step 2: calculate how many moles of water you have in the 100.0-g sample
Step 3: calculate how much heat is needed to allow the sample to go from solid at 218⁰C to liquid at 0⁰C
This means that equation (1) becomes
79.13 KJ +
Step 4: calculate the final temperature of the water
Substitute in the values; we will have,
79.13 kJ + 990.66J* = -1463J*
Convert the joules to kilo-joules to get
79.13 kJ + 0.99066KJ* = -1.463KJ*
collect like terms,
2.45366 = 283.133
∴ = 115.4 ⁰C
Approximately the final temperature of the mixture is 115 ⁰C