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anyanavicka [17]
3 years ago
8

Determine the kinetic energy of a 100-kg roller coaster car that is moving with a speed of 20.0/ms.

Mathematics
1 answer:
rjkz [21]3 years ago
3 0

Answer:

The kinetic energy is 20,000\ J

Step-by-step explanation:

The kinetic energy of a body is defined as:

k = \frac{1}{2}ms ^ 2

Where <em>m</em> is the mass of the roller coaster car

<em>s</em> is the speed and <em>k</em> is the kinetic energy

We know that s = 20\ m/s

m = 100\ kg

Then the kinetic energy of the roller coaster car is:

k = \frac{1}{2}(100)(20) ^ 2\\\\k = 50(20) ^ 2\\\\k = 50 * 400\\\\k = 20,000\ J

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The volume of the shape

We have a cylinder that is cut into two. Its external radius is 5ft, while its internal radius is 4ft.

External radius = internal radius + thickness

\begin{gathered} \text{External radius = 4ft + 1ft } \\ =\text{  5ft} \end{gathered}

Internal radius = 4ft (given)

Recall that the volume(V) of a full cylinder is:

V\text{ = }\pi r^2h

Since the cylinder is cut into two, the volume(V) is:

V\text{ = }\frac{\pi r^2h}{2}

height (h) = 12ft (given)

The volume of the shape:

\begin{gathered} =\text{ Volume of cylinder with a radius of 5ft - Volume of cylinder with a radius of 4ft} \\ =\text{ }\frac{\pi\text{ }\times5^2\text{ }\times\text{ 12}}{2}\text{ - }\frac{\pi\text{ }\times4^2\text{ }\times\text{ 12}}{2} \\ =\text{ 471.239 - }301.593 \\ =169.65ft^3 \end{gathered}

5 0
1 year ago
Find the value of the expression 6x + 3xy, when x = 2 and y = 4.
damaskus [11]
<h3>✽ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ✽</h3>

➷ Substitute in the values:

6(2) + 3(2)(4)

Now just solve:

12 + 24 = 36

The answer is 36

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

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7 0
3 years ago
Read 2 more answers
Which ordered pair is the on the graph of the equation 2x+5y=4?
vredina [299]
To determine which of the choices is lies on the line represented by the equation, 2x + 5y = 4, substitute the values of the abscissas to the x of the equation and solve for y. Evaluate if the y calculated is equal to the ordinate of the ordered pair. Calculations are shown below.

A. (7, -2)       ; 2(7) + 5y = 4     ;       y = -2      ; EQUAL
B. (0,-1)        ; 2(0) + 5y = 4     ;       y = 0.8    ; NOT EQUAL
C. (0,1)         ; 2(0) + 5y = 4     ;       y = 0.8    ; NOT EQUAL
D. (3, -2)       ; 2(-3) + 5y = 4    ;       y = 2       ; NOT EQUAL

Thus, the answer is letter A. (7, -2)
8 0
3 years ago
How do I solve <br> 2.75 + 0.003 + 0.158
nikklg [1K]
2.750 + 0.003 + 0.158

= 2.753 + 0.158

<span>= 2.911</span>
6 0
3 years ago
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Which one would result an integer
fomenos

Answer:

c is the only one that would result in an integer

Step-by-step explanation:

i hope this helps :)

5 0
3 years ago
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