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Illusion [34]
3 years ago
7

Two objects were lifted by a machine. One object had a mass of 2 kilograms and was lifted at a speed of 2m/sec. the other had a

mass of 4 kilograms and was lifted at a rate of 3m/sec.
Mathematics
1 answer:
OLga [1]3 years ago
4 0
Sadly, after giving all the necessary data, you forgot to ask the question.
Here are some general considerations that jump out when we play with
that data:

<em>For the first object:</em>
The object's weight is (mass) x (gravity) = 2 x 9.8 = 19.6 newtons
The force needed to lift it at a steady speed is 19.6 newtons.
The potential energy it gains every time it rises 1 meter is 19.6 joules.
If it's rising at 2 meters per second, then it's gaining 39.2 joules of
     potential energy per second.
The machine that's lifting it is providing 39.2 watts of lifting power.
The object's kinetic energy is 1/2 (mass) (speed)² = 1/2(2)(4) = 4 joules.

<em>For the second object:</em>
The object's weight is (mass) x (gravity) = 4 x 9.8 = 39.2 newtons
The force needed to lift it at a steady speed is 39.2 newtons.
The potential energy it gains every time it rises 1 meter is 39.2 joules.
If it's rising at 3 meters per second, then it's gaining 117.6 joules of
     potential energy per second.
The machine that's lifting it is providing 117.6 watts of lifting power.
The object's kinetic energy is 1/2 (mass) (speed)² = 1/2(4)(9) = 18 joules.

If you go back and find out what the question is, there's a good chance that
you might find the answer here, or something that can lead you to it.

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In base, rate, and percent problems, the word “of” points to this
Marysya12 [62]

Answer:

The word "of" refers to multiplication.

Step-by-step explanation:

Multiplication is what to do in all word problems when we see the word "of"

5 0
3 years ago
I need to find the product of f and g. what is the domain and range of the product
velikii [3]

Step-by-step explanation:

Putting both functions into a graphing calculator, we can easily find the domain and range. (attatched)

By looking at the graph, we can tell that f(x) is a quadratic function because of the symmetry. We can also tell that it never goes below 4. Knowing this, we can determine the domain and range.

Domain: {x | all real numbers}

Range: {y | y > 4}

By looking at the graph, we can tell that g(x) is an exponential function because it has a curve, and never goes below the x. Knowing this, we can determine the domain and range.

Domain: {x | all real numbers}

Range: {y | y > 0}

7 0
3 years ago
A vehicle 1 1/8 uses gallons of gasoline to travel 13 1/2 miles. At this rate, how many miles can the vehicle travel per gallon
alexgriva [62]

Answer: 12 miles per gallon

trust

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on

my

mama

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is

correct

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3 0
3 years ago
Read 2 more answers
Which statement is true? The function is only increasing when x ≥ −8. The function is only increasing when x ≥ 0. The function i
Artist 52 [7]

Answer:

THE FUNCTION IS ALWAYS INCREASING.

Complete question: The graph of f(x)= power of 3√x + 8 is shown.

Step-by-step explanation:

See attachment for the missing graph.

when x = -16 ; y = -2

when x = -12 ; y = -1.5

when x = -8 ; y = 0

when x = -6 ; y = 1.25

when x = 0 ; y = 2

when x = 6 ; y = 2.5

As the value of x increases, so does the value of y. Thus, the function is always increasing. 

6 0
3 years ago
On a vacation in Puerto Rico rose jumped off a cliff into a river in El Yunque go forest reserve her height as a function of tim
gayaneshka [121]

Answer: t = 6 s

Step-by-step explanation:

When Rose hit the water, the height of the jump is 0, so: h(t) = 0.

Resolving it, we have:

-16t² + 16t + 480 = 0

To simplify the second degree equation, divided it by 16:

-t² + t + 30 = 0

Now, solve the equation using Bhaskara:

Δ = 1² - 4. (-1) . 30

Δ = 1 + 120

Δ = 121

t = \frac{-1+\sqrt{121} }{-2}

t₁ = \frac{-1 + 11}{-2} = - 5

t₂ = \frac{-11-11}{-2} = 6

Since time can be negative, it took t = 6s for Rose to hit the water.

6 0
3 years ago
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