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3 years ago

Katie designed an experiment to show a water cycle process. The steps of the experiment are shown below.

1 answer:

6 0

Precipitation makes the most sense here. In basic terms, infiltration refers to the process whereby water enters the soil, transpiration refers to the movement of water out of a plant into the atmosphere and runoff is the flow of water over the earth's surface

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A 5kg bucket of water is raised from a well with a rope. If the upward acceleration of the bucket is 3m/s/s, find the force exer

mojhsa [17]

Apply Newton's second law to the bucket's vertical motion:

F = ma

F = net force, m = mass of the bucket, a = acceleration of the bucket

Let us choose upward force to be positive and downward force to be negative. The net force F is the difference of the tension in the rope lifting the bucket and the weight of the bucket, i.e.:

F = T - W

F = net force, T = tension, W = weight

The weight of the bucket is given by:

W = mg

W = weight, m = mass, g = gravitational acceleration

Make some substitutions:

F = T - mg

T - mg = ma

Isolate T:

T = ma + mg

T = m(a+g)

Given values:

m = 5kg, a = 3m/s², g = 9.81m/s²

Plug in and solve for T:

T = 5(3+9.81)

T = 64.05N

3 0

3 years ago

An inner city revitalization zone is a rectangle that is twice as long as it is wide. The width of the region is growing at a ra

lukranit [14]

Answer:

$\frac{dA}{dt} = 28800 \ m^2/year$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Geometry

Area of a Rectangle: A = lw

Algebra I

Exponential Property: $w^n \cdot w^m = w^{n + m}$

Calculus

Derivatives

Differentiating with respect to time

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Explanation:

Step 1: Define

Area is A = lw

2w = l

w = 300 m

$\frac{dw}{dt} = 24 \ m/year$

Step 2: Rewrite Equation

Substitute in l: A = (2w)w
Multiply: A = 2w²

Step 3: Differentiate

Differentiate the new area formula with respect to time.

Differentiate [Basic Power Rule]: $\frac{dA}{dt} = 2 \cdot 2w^{2-1}\frac{dw}{dt}$
Simplify: $\frac{dA}{dt} = 4w\frac{dw}{dt}$

Step 4: Find Rate

Use defined variables

Substitute: $\frac{dA}{dt} = 4(300 \ m)(24 \ m/year)$
Multiply: $\frac{dA}{dt} = (1200 \ m)(24 \ m/year)$
Multiply: $\frac{dA}{dt} = 28800 \ m^2/year$

3 0

3 years ago

Read 2 more answers

The barometer of a mountain hiker reads 930 mbars at the beginning of a hiking trip and 780 mbars at the end. Neglecting the eff

lara31 [8.8K]

We could use the change of pressure to calculate for the height climbed by the mountain hiker. The change of pressure is given by

p = rho * g * h, where p is the change of pressure, rho is the air density, g is the acceleration due to gravity, and h is the height.

Using the conversion 1 mbar = 100 Pa,

(930 - 780)(100) = (1.20)(9.80)h
15000 = 1.20*9.80*h

h = 1.28 km

6 0

4 years ago

What is a type of pulley that increases the size and effort of force

12345 [234]

The answer is Movable

5 0

4 years ago

oxygen (o) is a gas found in the 16th column of the periodic table. What statement is true about oxygen and he other elements in

Tpy6a [65]

<h3>I'm pretty sure, all the elements in the column have similar chemical properties.</h3>

8 0

4 years ago