Answer:
For aluminum 110.53 C
For copper 110.32 C
Explanation:
Heat transmission through a plate (considering it as an infinite plate, as in omitting the effects at the borders) follows this equation:

Where
q: heat transferred
k: conduction coeficient
A: surface area
th: hot temperature
tc: cold temperature
d: thickness of the plate
Rearranging the terms:
d * q = k * A * (th - tc)


The surface area is:


If the pan is aluminum:

If the pan is copper:

Answer:
Total no. of ways to line up cars is 20! = 2.43 c 10^18
Probability that the cars alternate is 0.00001 or 0.001%
Explanation:
Since, the position of a car is random.Therefore, number ways in which cars can line up is given as:
<u>No. of ways = 20! = 2.43 x 10^18</u>
For the probability that cars alternate, two groups will be formed, one consisting of US-made 10 cars and other containing 10 foreign made. The number of favorable outcomes for this can be found out as the arrangements of 2! between these groups multiplied by the arrangements of 10! for each group, due to the arrangements among the groups themselves.
Favorable Outcomes = 2! x 10! x 10!
Thus the probability of event will be:
Probability = Favorable Outcomes/Total No. of Ways
Probability = (2! x 10! x 10!)/20!
<u>Probability = 0.00001 = 0.001%</u>
The smallest allowable depth is
for the milled portion of bar.
<u>Explanation:</u>
Given,
Magnitude of force,


Allowable stress,
cross sectional area of bar,


e - eccentricity

The internal forces in the cross section are equivalent to a centric force P and a bending couple M.



Allowable stress


Moment of Inertia,









By substituting values we get,


On solving above equation we get,

Answer:
time is 17.43 min
Explanation:
given data
initial diameter = 5 m
velocity = 3 m/s
final diameter = 17 m
solution
we will apply here change in change in volume equation that is express as
ΔV =
.............1
here ΔV is change in volume and rf is final radius and ri is initial radius
ΔV =
ΔV = 2507 m³
so
Q = velocity × Area
Q = 3 × π ×(0.5)² = 2.356 m³/s
and
change in time is express as
Δt =
Δt =
Δt = 1046 sec
so change in time is 17.43 min
Answer:
q = 0.1086 micro Coulombs
Explanation:
By Coulombs law, we have;

Where;
F = The electric force = 120 mgm
q₁ and q₂ = Charge
r = The separating distance = 30 cm = 0.3 m
k = 8.9876×10⁹ kg·m³/(s²·C²)
Where, q₁ and q₂, we have;

Whereby the force is the force of 120 milligram mass, we have;
0.00012 × 9.81 = 000011772 N

Substituting the values, we have;

q = 0.1086 micro Coulombs.