Answer:
a) q = 2800 W/m²
b) To = 59.4°C
Explanation:
Given the following parameters:
L = 10 mm
K = 20 W/m·K
T = 30°C
h = 100 W/m²K
Ti = 58°C
a)
Calculating heat flux q:
q = h ΔT
q = 100 x (58 - 30)
q = 2800 W/m²
b)
According to Fourier's law, heat transfer is defined as:
Q = K A ΔT/L
Assuming the outer temperature is To:
To = Ti + qL/K
Substituting the given values:
To = Ti + qL/K
To = 59.4°C
Answer:
Explanation:
Provided:
The trolley, with mass M, is allowed to roll freely without friction.
The coefficient of friction between the trolley and mass m is .
A force F is applied to mass m.
The acceleration of the system is
The frictional force will counterbalance the weight of the block.
The frictional force is
Answer:
35.79 meters
Explanation:
We have an archer, and there is a target. Denote the distance between them as d.
The bowman releases the arrow, which travels the distance d at a velocity of 40 m/s until it hits the target. We establish the equation as:
Right after this, the arrow produces a muffled noise, traveling the same distance d at a speed of 340 m/s in time . Thus, we can derive:
.
Consequently, the sound reaches the archer, precisely 1 second post-firing the bow, resulting in:
.
Using this relationship in the distance formula for sound allows us to write:
.
Substituting the value of d from the first equation yields:
.
Now, after some calculations, we can proceed further:
.
Finally, the value is inserted into the initial equation: