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antiseptic1488 [7]

3 years ago

11

How does the matter and (solar) energy move through the sphere?

1 answer:

Tema [17]3 years ago

5 0

When the Sun's energy moves through space, it reaches Earth's atmosphere and finally the surface. This radiant solar energy warms the atmosphere and becomes heat energy. This heat energy is transferred throughout the planet's systems in three ways: by radiation, conduction, and convection.

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An object is taken from an oven at 350o F and left to cool in a room at 70o F. If the temperature fell to 250o F in one hour, wh

Oksana_A [137]

Answer:

117.83° F

Explanation:

Using Newton's Law of Cooling which can be expressed as:

$\dfrac{dT}{dt}= k(T-T_1)$

The differential equation can be computed as:

$\dfrac{dT}{dt}= k(T-70)$

$\dfrac{dT}{(T-70)}= kdt$

$\int \dfrac{dT}{(T-70)}= \int kdt$

$In|T-70| = kt +C$

$T- 70 = e^{kt+C} \\ \\ T = 70+e^{kt+C} \\ \\ T = 70 + C_1e^{kt} --- (1)$

where;

$C_1 = e^C$

At the initial condition, T(0)= 350

$350 = 70 C_1^{k*0}$

$350 -70 = C_1$

$280 = C_1$

replacing $C_1$ = 280 into (1)

Hence, the differential equation becomes:

$T(t) = 70 + 280 e^{kt}$

when;

time (t) = 1 hour

T(1) = 250

Since;

$250 = 70 + 280 e^{k*1}$

$180 = 280e^k \\ \\ \dfrac{180}{280}= e^k$

$k = In (\dfrac{180}{280})$

k = -0.4418

Therefore;

T(t) = 70 + 280e^{(-0.4418)}t

After 4 hours, the temperature is:

T(t) = 70 + 280e^{(-0.4418)}4

T(4) = 117.83° F

7 0

3 years ago

An empty water tank has a rectangular base with side lengths of 1.2 m and 2.3 m. The weight of the tank applies a pressure of 35

LekaFEV [45]

Answer:

Weight = 966 Newton.

Explanation:

Given the following data;

Length = 1.2 m

Width = 2.3 m

Pressure = 350 Pa

To find the weight of the tank;

We know that weight is the force of gravity acting on an object multiplied by its mass.

Weight = mg = force

Hence, we would determine the force using the parameters that were given.

But we would first determine the area of the rectangular tank.

Area of rectangle, A = length * width

A = 1.2 * 2.3

A = 2.76 m²

Mathematically, pressure is given by the formula;

Pressure = force/area

Force = pressure * area

Substituting into the formula, we have;

Force = 2.76 * 350

Force = 966 Newton

Therefore, the weight of the tank is 966 Newton.

5 0

3 years ago

Kinetic energy during an object falling

Crazy boy [7]

Answer:

$kinetic \: energy = \frac{1}{2} m {v}^{2} \\ m = mass \: of \: the \: object \\ v = velocity \:$

6 0

3 years ago

Why do we see lightning before we hear the accompanying Thunder

geniusboy [140]

Its becuse light travels faster then sound.

can be wrong

4 0

3 years ago

Read 2 more answers

What exercise became part of movement in the 1970

joja [24]

Answer:

Aerobic exercise became part of this movement in the 1970s.

8 0

3 years ago