A) The temperature at the fat-inner fur boundary be so that the bear loses heat at a rate of 51.4W is; T_i = 38.52°C
B) The thickness of the layer contained within the fur so that the bear loses heat at a rate of 51.4 W is; t = 13.41 cm
We are given;
Diameter of sphere; d = 1.6 m
Radius of sphere; r = d/2
r = 1.6/2
r = 0.8 m
Thickness of bear; t = 3.9 cm cm = 0.039 m
Outer surface Temperature of fur; T_h = 2.8 ∘C
Inner surface Temperature of fat;T_f = 30.9 ∘C
Thermal conductivity of fat; K_f = 0.2 W/m⋅k
Thermal conductivity of air; K_a = 0.024 W/m⋅k
A) To find the temperature at the fat-inner fur boundary when heat loss is 51.4 W, we will use the heat current formula;
H = K_f•A(T_f - T_i)/t
Where;
A is area = 4πr²
A = 4π × 0.8²
A = 8.04 m²
T_i is the temperature we are looking for
H is heat loss = 51.4
t is thickness
Making T_i the subject gives;
T_i = (T_f × H × t)/(K_f × A)
T_i = (30.9 × 51.4 × 0.039)/(0.2 × 8.04)
T_i = 38.52°C
B) We want to find the thickness of the layer contained within the fur. Thus, we will use K_a instead of K_f. Let us make t the subject in the heat current formula to get;
t = (K_a•A(T_i - T_h)/H
t = (0.024 × 8.04 × (38.52 - 2.8))/51.4
t = 0.1341 m
t = 13.41 cm
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Answer:
Explanation:
Using the equation
H = Q/t = k A ( T hot - T cold) / L
where H is the rate of heat loss = 51.4 W, T cold be temperature of the outer surface, A is the surface area of the fat layer which is a model of sphere ( surface area of a sphere ) = 4πr² where diameter = 1.60 m
radius = 1.60 m / 2 = 0.80 m
A = 4 × 3.142 × ( 0.8²) = 8.04352 m²
making T cold subject of the formula
T cold = T hot - = 30.9° C - ( 51.4 W × 3.9 × 10⁻² m) / ( 0.2 W/mK × 8.04352 m² ) = 30.9° C - 1.25 ° C = 29.65° C
b) The thickness of air layer for the bear to lose heat t a rate of 51.4 W
thermal conductivity of air is 0.024 W/mK and rearranging the earlier formula
L = = (0.024 W/ m K × 8.04352 m²) ( 29.65° C - 2.8°C) / 51.4 W = 0.101 m = 10.1 m
The behavior of light makes it possible for you to see a spectrum of colors in a spray of water on a sunny day is refraction. The refractive index of a medium is dependent on the wavelength and hence light of different wavelength undergo refraction by different angle which causes the splitting of light beam in different color.
The answer is refraction?
Answer: The correct answer is option (D).
Explanation:
Voltmeter is a device which measures the the voltage applied across the circuit. It is an electrical instrument used to measure the electric potential between the two points in an electric circuit.
Where as:
A switch is the device which used to connect or disconnect the circuit.
Resistor is a device which opposes the flow of current is an electric circuit.
An ammeter the is an electrical device which measures the amount of current in flowing in amperes in an electrical circuit
Hence,the correct answer is option (D).
Wastewater treatment plants have been in existence for about 120 years.
The development of wastewater treatment plants began in the late 19th century, around the 1890s. The need for wastewater treatment arose as industrialization and urbanization led to increased pollution of water bodies due to the discharge of untreated sewage and industrial effluents.
The first modern wastewater treatment plant is often credited to the city of Paris, France, which constructed its first large-scale sewage treatment plant, known as the "Clichy-la-Garenne Sewage Farm," in 1889. This plant utilized biological treatment processes to remove organic matter from wastewater before discharging it into the Seine River.
Over the following decades, the importance of wastewater treatment became recognized, and more cities and municipalities around the world started investing in the construction of wastewater treatment plants. The development and advancement of treatment technologies continued throughout the 20th century, leading to more efficient and effective treatment processes.
Today, wastewater treatment plants play a critical role in protecting public health and the environment by treating and purifying wastewater before it is discharged back into natural water bodies or reused for various purposes. These plants use a combination of physical, chemical, and biological processes to remove pollutants and contaminants, ensuring that the water released is safe for the environment and human use.
In summary, wastewater treatment plants have been in existence for approximately 120 years, evolving from basic sewage farms to sophisticated facilities that are essential for maintaining water quality and sustainability in modern urban and industrialized areas.
To learn more about Wastewater treatment, here
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B)Only kinetic energy increases when the velocity of an object increases. .
C)Only potential energy decreases when an object’s height increases..
D)Objects always have more kinetic energy than potential energ
Taking into account the definition of kinetic and potencial energy, only kinetic energy increases when the velocity of an object increases.
Kinetic energy is a form of energy. It is defined as the energy associated with bodies that are in motion and this energy depends on the mass and speed of the body.
Kinetic energy is defined as the amount of work necessary to accelerate a body of a given mass and at rest, until it reaches a given speed. Once this point is reached, the amount of accumulated kinetic energy will remain the same unless there is a change in speed or the body returns to its state of rest by applying a force.
Kinetic energy is represented by the following formula:
Ec= ½ mv²
where:
On the other hand, potential energy is the energy that measures the ability of a system to perform work based on its position. In other words, this is the energy that a body has at a certain height above the ground.
Gravitational potential energy is the energy associated with the gravitational force. This will depend on the relative height of an object to some reference point, the mass, and the force of gravity.
So for an object with mass m, at height h, the expression applied to the gravitational energy of the object is:
Ep= m×g×h
where:
In this case, considering all of the above, the correct answer is option B) Only kinetic energy increases when the velocity of an object increases.
Learn more about kinetic and potential energy:
B. 19.6 m
C. 1.8 m
D. 3.96 m
Answer: The ball will land at 19.6 m
Explanation:
To calculate the horizontal range of the ball, we use the formula:
where,
v = velocity of the ball = 14 m/s
= angle at which the ball is thrown = 51°
g = acceleration due to gravity =
Putting values in above equation, we get:
Hence, the ball will land at 19.6 m