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3 years ago

Does anybody know the answer to these questions?

Mathematics

1 answer:

san4es73 [151]3 years ago

7 0

Answer:

1. 625,000 J

2. 100 J

4. 5 kg

5. √5 ≈ 2.236 m/s

Step-by-step explanation:

You should be aware that the SI derived units of Joules are equivalent to kg·m²/s².

To reduce confusion between m for mass and m for meters, we'll use an italic m for mass.

In each case, the "find" variable is what's left after we put the numbers into the formula. It is what the question is asking for. The "given" values are the ones in the problem statement and are the values we put into the formula. The formula is the same in every case.

1. KE = (1/2)mv² = (1/2)(2000 kg)(25 m/s)² = 625,000 kg·m²/s² = 625,000 J

2. KE = (1/2)mv² = (1/2)(0.5 kg)(20 m/s)² = 100 kg·m²/s² = 100 J

4. KE = (1/2)mv²

250 J = (1/2)m(10 m/s)² = 50 m²/s²

(250 kg·m²/s²)/(50 m²/s²) = m = 5 kg

5. KE = (1/2)mv²

2000 kg·m²/s² = (1/2)(800 kg)v²

(2000 kg·m²/s²)/(400 kg) = v² = 5 m²/s²

v = √5 m/s ≈ 2.236 m/s

You might be interested in

-1/3 + (-7/4) pls help

djverab [1.8K]

Answer:

-25

——— = -2.08333

Step-by-step explanation:

Step 1 :

Simplify —

Equation at the end of step 1 :

1 7

(0 - —) + (0 - —)

3 4

Step 2 :

Simplify —

Equation at the end of step 2 :

1 -7

(0 - —) + ——

3 4

Step 3 :

Calculating the Least Common Multiple :

3.1 Find the Least Common Multiple

The left denominator is : 3

The right denominator is : 4

Number of times each prime factor

appears in the factorization of:

Prime

Factor Left

Denominator Right

Denominator L.C.M = Max

{Left,Right}

3 1 0 1

2 0 2 2

Product of all

Prime Factors 3 4 12

Least Common Multiple:

Calculating Multipliers :

3.2 Calculate multipliers for the two fractions

Denote the Least Common Multiple by L.C.M

Denote the Left Multiplier by Left_M

Denote the Right Multiplier by Right_M

Denote the Left Deniminator by L_Deno

Denote the Right Multiplier by R_Deno

Left_M = L.C.M / L_Deno = 4

Right_M = L.C.M / R_Deno = 3

Making Equivalent Fractions :

3.3 Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

L. Mult. • L. Num. -1 • 4

—————————————————— = ——————

L.C.M 12

R. Mult. • R. Num. -7 • 3

—————————————————— = ——————

L.C.M 12

Adding fractions that have a common denominator :

3.4 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

-1 • 4 + -7 • 3 -25

——————————————— = ———

12 12

Final result :

-25

——— = -2.08333

Processing ends successfully

plz mark me as brainliest :)

7 0

3 years ago

Read 2 more answers

Let f(x)=3x+5 and g(x)=x^2 find f(x).g(x)

Alina [70]

Assuming you want them multiplied

f(x)*g(x)=(3x+5)(x^2)=3x³+6x²

6 0

3 years ago

Find the surface area of the cylinder and round to the nearest tenth. (It is recommended that you use the π button on your calcu

elena-s [515]

The surface area of the cylinder is 18.84 square feet

<h3>How to determine the surface area?</h3>

The given parameters are

Height, h = 2 ft

Diameter, d = 2 ft

The radius (r) is half of the diameter (d)

This is calculated as:

Radius = Diameter/2

So, we have:

r = d/2

Substitute 2 for d

r = 2/2

Evaluate the quotient i.e. divide 2 by 1

r = 1

The surface area is then calculated using the following formula

A = 2πr² + 2πrh

Substitute the given values in the above equation

So, we have:

A = 2 * 3.14 * 1^2 + 2 * 3.14 * 1 * 2

Evaluate the exponents

A = 2 * 3.14 * 1 + 2 * 3.14 * 1 * 2

Evaluate the products

A = 6.28 + 12.56

Evaluate the sum

A = 18.84

Hence, the surface area of the cylinder with the given height and radius is 18.84 square feet

Read more about surface area at:

brainly.com/question/2835293

#SPJ1

4 0

2 years ago

PLZ HELP ME! 100 points for person who answers quickly!

Advocard [28]

(-1.15)x3.2=

-3.68

Alright so I got -3.68 by multiplying -1.15x3.2. We get a negative number since the first number is negative.

3 0

2 years ago

2. Consider the circle x^2−4x+y^2+10y+13=0. There are two lines tangent to this circle having a slope of 2/3.

likoan [24]

Answer:

a) The coordinates are (0.431, -2.646) and (3.568,-7.354)

b) The tangent lines are

l₁ = (x-0.431)*2/3 - 2.646

l₂ = (x-3.568)2/3 - 7.354

Step-by-step explanation:

First, lets complete squares, by taking for each cordinate the square of a linear expression

0= x²−4x+y²+10y+13 = (x-2)²+ 4 + (y+5)²-25+13 = (x-2)²+(y+5)² - 8

Hence (x-2)² + (y+5)² = 8

Lets put y in function of x. We should obtain 2 functions f and g that represent the circle.

(y+5)² = 8 - (x-2)² = -x² + 4x + 4

$y = ^+_- \sqrt{-x^2+4x+4} -5$

Thus

$f(x) = \sqrt{-x^2+4x+4} - 5$

$g(x) = -\sqrt{-x^2+4x+4} - 5$

Lets find the derivate of each function and the points in which they reach the value 2/3. In those points the tangent line will have a slope of 2/3.

We may just find the values of x which the derivate of f is either 2/3 or -2/3.

$\frac{-x+2}{\sqrt{-x^2+4x+4}} = ^+_-\frac{2}{3} \Leftrightarrow \frac{x^2-4x+4}{-x^2+4x+4} = \frac{4}{9} \Leftrightarrow 9(x^2-4x+4) = 4(-x^2+4x+4) \\\Leftrightarrow 13x^2-52x+20 = 0$

The quadratic has roots

$\frac{52 ^+_-\sqrt{1664}}{26}$

one root is 3.568, which corresponds with g, and the other root is 0.431, corresponding to f.

Also g(3.568) = - 7.354 and f(0.431) = -2.646

This means that the coordinates are (0.431 , -2.646), (3.568 , -7.354) and the tangent lines are

l₁ = (x-0.431)*2/3 - 2.646

l₂ = (x-3.568)2/3 - 7.354

5 0

3 years ago