Answer:
2. Move faster
Explanation:
Because you lighten the weight and pushed at the same speed it is easier to push the 400-grams than the 800-grams.
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When sediment has built up over time layers of rock start to form, starting with sedimentry rocks, then metamorphic rocks
Answer:
Max speed = ![\frac{15\, \pi}{4} \,\, \frac{m}{s}](https://tex.z-dn.net/?f=%5Cfrac%7B15%5C%2C%20%5Cpi%7D%7B4%7D%20%5C%2C%5C%2C%20%5Cfrac%7Bm%7D%7Bs%7D)
Max acceleration = ![\frac{15\,\pi^2}{16} \,\,\frac{m}{s^2}](https://tex.z-dn.net/?f=%5Cfrac%7B15%5C%2C%5Cpi%5E2%7D%7B16%7D%20%5C%2C%5C%2C%5Cfrac%7Bm%7D%7Bs%5E2%7D)
Explanation:
Given the description of period and amplitude, the SHM could be described by:
![f(x)=5\,sin(\frac{\pi}{4}x)](https://tex.z-dn.net/?f=f%28x%29%3D5%5C%2Csin%28%5Cfrac%7B%5Cpi%7D%7B4%7Dx%29)
and its angular velocity can be calculated doing the derivative:
![f(x)=5\, \,sin(\frac{\pi}{4}x)\\f'(x)=5\,\frac{\pi}{4}\,cos(\frac{\pi}{4}x)](https://tex.z-dn.net/?f=f%28x%29%3D5%5C%2C%20%5C%2Csin%28%5Cfrac%7B%5Cpi%7D%7B4%7Dx%29%5C%5Cf%27%28x%29%3D5%5C%2C%5Cfrac%7B%5Cpi%7D%7B4%7D%5C%2Ccos%28%5Cfrac%7B%5Cpi%7D%7B4%7Dx%29)
And therefore, the tangential velocity is calculated by multiplying this expression times the radius of the movement (3 m):
and is given in m/s.
Then the maximum speed is obtained when the cosine function becomes "1", and that gives:
Max speed = ![\frac{15\, \pi}{4} \,\, \frac{m}{s}](https://tex.z-dn.net/?f=%5Cfrac%7B15%5C%2C%20%5Cpi%7D%7B4%7D%20%5C%2C%5C%2C%20%5Cfrac%7Bm%7D%7Bs%7D)
The acceleration is found from the derivative of the velocity expression, and therefore given by:
![acceleraton(x)=-15\,\frac{\pi^2}{16}\,sin(\frac{\pi}{4}x)](https://tex.z-dn.net/?f=acceleraton%28x%29%3D-15%5C%2C%5Cfrac%7B%5Cpi%5E2%7D%7B16%7D%5C%2Csin%28%5Cfrac%7B%5Cpi%7D%7B4%7Dx%29)
and the maximum of the function will be obtained when the sine expression becomes "-1", which will render:
Max acceleration = ![\frac{15\,\pi^2}{16} \,\,\frac{m}{s^2}](https://tex.z-dn.net/?f=%5Cfrac%7B15%5C%2C%5Cpi%5E2%7D%7B16%7D%20%5C%2C%5C%2C%5Cfrac%7Bm%7D%7Bs%5E2%7D)
The potential energy of the skateboarder at the top of the ramp is
489.1 J.
<h3>Is kinetic energy always equal to potential energy?</h3>
The amount of kinetic energy change and the amount of potential energy change are equal in all physical processes that take place in closed systems. When the kinetic energy rises, the potential energy falls, and vice versa.
Potential energy is the stored energy in any object or system as a result of its position or component arrangement. However, external factors like air or height have no effect on it. The energy of a moving object or system is referred to as kinetic energy.
Potential energy = kinetic energy
Potential energy = 1/2mv²
Potential energy = 1/2 × 67×7.3
Potential energy = 489.1 J.
To know more about kinetic energy visit:
brainly.com/question/26472013
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