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Alenkasestr [34]
2 years ago
11

Please answer this question correctly

Mathematics
1 answer:
hoa [83]2 years ago
4 0
The answer is two because it goes up two times every time
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In a circus performance, a monkey is strapped to a sled and both are given an initial speed of 3.0 m/s up a 22.0° inclined track
Aloiza [94]

Answer:

Approximately 0.31\; \rm m, assuming that g = 9.81\; \rm N \cdot kg^{-1}.

Step-by-step explanation:

Initial kinetic energy of the sled and its passenger:

\begin{aligned}\text{KE} &= \frac{1}{2}\, m \cdot v^{2} \\ &= \frac{1}{2} \times 14\; \rm kg \times (3.0\; \rm m\cdot s^{-1})^{2} \\ &= 63\; \rm J\end{aligned} .

Weight of the slide:

\begin{aligned}W &= m \cdot g \\ &= 14\; \rm kg \times 9.81\; \rm N \cdot kg^{-1} \\ &\approx 137\; \rm N\end{aligned}.

Normal force between the sled and the slope:

\begin{aligned}F_{\rm N} &= W\cdot  \cos(22^{\circ}) \\ &\approx 137\; \rm N \times \cos(22^{\circ}) \\ &\approx 127\; \rm N\end{aligned}.

Calculate the kinetic friction between the sled and the slope:

\begin{aligned} f &= \mu_{k} \cdot F_{\rm N} \\ &\approx 0.20\times 127\; \rm N \\ &\approx 25.5\; \rm N\end{aligned}.

Assume that the sled and its passenger has reached a height of h meters relative to the base of the slope.

Gain in gravitational potential energy:

\begin{aligned}\text{GPE} &= m \cdot g \cdot (h\; {\rm m}) \\ &\approx 14\; {\rm kg} \times 9.81\; {\rm N \cdot kg^{-1}} \times h\; {\rm m} \\ & \approx (137\, h)\; {\rm J} \end{aligned}.

Distance travelled along the slope:

\begin{aligned}x &= \frac{h}{\sin(22^{\circ})} \\ &\approx \frac{h\; \rm m}{0.375}\end{aligned}.

The energy lost to friction (same as the opposite of the amount of work that friction did on this sled) would be:

\begin{aligned} & - (-x)\, f \\ = \; & x \cdot f \\ \approx \; & \frac{h\; {\rm m}}{0.375}\times 25.5\; {\rm N} \\ \approx\; & (68.1\, h)\; {\rm J}\end{aligned}.

In other words, the sled and its passenger would have lost (approximately) ((137 + 68.1)\, h)\; {\rm J} of energy when it is at a height of h\; {\rm m}.

The initial amount of energy that the sled and its passenger possessed was \text{KE} = 63\; {\rm J}. All that much energy would have been converted when the sled is at its maximum height. Therefore, when h\; {\rm m} is the maximum height of the sled, the following equation would hold.

((137 + 68.1)\, h)\; {\rm J} = 63\; {\rm J}.

Solve for h:

(137 + 68.1)\, h = 63.

\begin{aligned} h &= \frac{63}{137 + 68.1} \approx 0.31\; \rm m\end{aligned}.

Therefore, the maximum height that this sled would reach would be approximately 0.31\; \rm m.

7 0
2 years ago
Given the linear equation, 2x +4= 6, find the rate, initial value, and specific value.
kap26 [50]

Answer: B. The rate is 2, the initial value is 4, and the specific value is 6.

Step-by-step explanation:

for a linear function y = a*x + b

Rate = coefficient that is multiplicating the variable. ( a in this case)

Initial value = value taken of y, when we have x = 0 (b in this case)

Specific value = value forced on y.

In this case, we have:

y = 6 = 2*x + 4

Then:

The coefficient multiplicating x is 2, so the rate is 2.

The constant term is 4, so the initial value is 4.

The value equal to y is 6, so the specific value is 6.

The correct option is B.

4 0
3 years ago
A family of 5 people attends a theme park. the purchase 2 adult tickets for $27.50 each and 3 student tickets for $12.50 each. i
pickupchik [31]
 They should get $7.50, because you multiply the adults by two, then the children by three, and add it all together
8 0
3 years ago
Read 2 more answers
Help please ik it easy but please
beks73 [17]

Answer:

7.7 repeated

Step-by-step explanation:

3 1/3 * 2 1/3 = 7.7 repeated

5 0
3 years ago
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Graph ​ y=4/7x−2 ​. Use the line tool and select two points on the line.
Lynna [10]

Answer:

Given equation of the line,

y=\frac{4}{7}x-2

If x = 0,

y=\frac{4}{7}(0) - 2=0-2=-2

Thus, the line intercepts y-axis at (0,-2)

If y = 0,

0=\frac{4}{7}x-2\implies 2=\frac{4}{7}x\implies x=\frac{14}{4}=3.5

Thus, the line intercepts x-axis at (3.5,0)

By joining these two points in the graph,

We will get the graph of the given line ( shown below )

4 0
3 years ago
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