Answer:
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Explanation:
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Answer:
Explanation:
Given the following data;
Mass = 35 kg
Velocity = 3 m/s
To find the kinetic energy of the child;
K.E = ½mv²
Increasing the angle of inclination of the plane decreases the velocity of the block as it leaves the spring.
- The statement that indicates how the relationship between <em>v</em> and <em>x</em> changes is;<u> As </u><u><em>x</em></u><u> increases, </u><u><em>v</em></u><u> increases, but the relationship is no longer linear and the values of </u><u><em>v</em></u><u> will be less for the same value of </u><u><em>x</em></u><u>.</u>
Reasons:
The energy given to the block by the spring = ![\mathbf{0.5 \cdot k \cdot x^2}](https://tex.z-dn.net/?f=%5Cmathbf%7B0.5%20%20%5Ccdot%20k%20%20%5Ccdot%20x%5E2%7D)
According to the principle of conservation of energy, we have;
On a flat plane, energy given to the block =
= kinetic energy of
block = ![0.5 \cdot m \cdot v^2](https://tex.z-dn.net/?f=0.5%20%20%5Ccdot%20m%20%20%5Ccdot%20v%5E2)
Therefore;
0.5·k·x² = 0.5·m·v²
Which gives;
x² ∝ v²
x ∝ v
On a plane inclined at an angle θ, we have;
The energy of the spring = ![\mathbf{0.5 \cdot k \cdot x^2}](https://tex.z-dn.net/?f=%5Cmathbf%7B0.5%20%20%5Ccdot%20k%20%20%5Ccdot%20x%5E2%7D)
- The force of the weight of the block on the string,
![F = m \cdot g \cdot sin(\theta)](https://tex.z-dn.net/?f=F%20%3D%20m%20%5Ccdot%20g%20%20%5Ccdot%20sin%28%5Ctheta%29)
The energy given to the block =
= The kinetic energy of block as it leaves the spring = ![\mathbf{0.5 \cdot m \cdot v^2}](https://tex.z-dn.net/?f=%5Cmathbf%7B0.5%20%20%5Ccdot%20m%20%20%5Ccdot%20v%5E2%7D)
Which gives;
![0.5 \cdot k \cdot x^2 - m \cdot g \cdot sin(\theta) = 0.5 \cdot m \cdot v^2](https://tex.z-dn.net/?f=0.5%20%5Ccdot%20k%20%5Ccdot%20x%5E2%20-%20m%20%5Ccdot%20g%20%20%5Ccdot%20sin%28%5Ctheta%29%20%3D%200.5%20%20%5Ccdot%20m%20%20%5Ccdot%20v%5E2)
Which is of the form;
a·x² - b = c·v²
a·x² + c·v² = b
Where;
a, b, and <em>c</em> are constants
The graph of the equation a·x² + c·v² = b is an ellipse
Therefore;
- As <em>x</em> increases, <em>v</em> increases, however, the value of <em>v</em> obtained will be lesser than the same value of <em>x</em> as when the block is on a flat plane.
<em>Please find attached a drawing related to the question obtained from a similar question online</em>
<em>The possible question options are;</em>
- <em>As x increases, v increases, but the relationship is no longer linear and the values of v will be less for the same value of x</em>
- <em>The relationship is no longer linear and v will be more for the same value of x</em>
- <em>The relationship is still linear, with lesser value of v</em>
- <em>The relationship is still linear, with higher value of v</em>
- <em>The relationship is still linear, but vary inversely, such that as x increases, v decreases</em>
<em />
Learn more here:
brainly.com/question/9134528
Answer: Yes, on many slate-roofed homes as temperatures change, such as cooling at night or heating during the day, thermal expansion or contraction of the slates may cause movement that in turn causes snapping, popping, or cracking noises, even bangs and clanks or clicks from the roof.
Explanation: