Answer:if 1 m = 100 cm then there should be 200 cm in m^2
Explanation:
Answer:
The velocity of the hay bale is - 0.5 ft/s and the acceleration is ![6.25\times 10^{- 3} ft/s^{2}](https://tex.z-dn.net/?f=6.25%5Ctimes%2010%5E%7B-%203%7D%20ft%2Fs%5E%7B2%7D)
Solution:
As per the question:
Constant velocity of the horse in the horizontal, ![v_{x} = 1 ft/s](https://tex.z-dn.net/?f=v_%7Bx%7D%20%3D%201%20ft%2Fs)
Distance of the horse on the horizontal axis, x = 10 ft
Vertical distance, y = 20 ft
Now,
Apply Pythagoras theorem to find the length:
![20^{2} + 10^{2} = l^{2}](https://tex.z-dn.net/?f=20%5E%7B2%7D%20%2B%2010%5E%7B2%7D%20%3D%20l%5E%7B2%7D)
![l^{2}= 500](https://tex.z-dn.net/?f=l%5E%7B2%7D%3D%20500)
Now,
(1)
Differentiating equation (1) w.r.t 't':
![2x\frac{dx}{dt} + 2y\frac{dy}{dt} = 0](https://tex.z-dn.net/?f=2x%5Cfrac%7Bdx%7D%7Bdt%7D%20%2B%202y%5Cfrac%7Bdy%7D%7Bdt%7D%20%3D%200)
![x\frac{dx}{dt} = - y\frac{dy}{dt}](https://tex.z-dn.net/?f=x%5Cfrac%7Bdx%7D%7Bdt%7D%20%3D%20-%20y%5Cfrac%7Bdy%7D%7Bdt%7D)
where
= Rate of change of displacement along the horizontal
= Rate of change of displacement along the vertical
= velocity along the x-axis.
= velocity along the y-axis
![xv_{x} = -yv_{y}](https://tex.z-dn.net/?f=xv_%7Bx%7D%20%3D%20-yv_%7By%7D)
![v_{y} = - 10\times \frac{1}{20} = - 0.5 ft/s](https://tex.z-dn.net/?f=v_%7By%7D%20%3D%20-%2010%5Ctimes%20%5Cfrac%7B1%7D%7B20%7D%20%3D%20-%200.5%20ft%2Fs)
![|v_{y}| = 0.5\ ft/s](https://tex.z-dn.net/?f=%7Cv_%7By%7D%7C%20%3D%200.5%5C%20ft%2Fs)
Acceleration of the hay bale is given by the kinematic equation:
![v_{y}^{2} = u_{y} + 2ay](https://tex.z-dn.net/?f=v_%7By%7D%5E%7B2%7D%20%3D%20u_%7By%7D%20%2B%202ay)
![(-0.5)^{2} =0 + 2ay](https://tex.z-dn.net/?f=%28-0.5%29%5E%7B2%7D%20%3D0%20%2B%202ay)
![0.25 = 2ay](https://tex.z-dn.net/?f=0.25%20%3D%202ay)
![\frac{0.25}{2y} = a](https://tex.z-dn.net/?f=%5Cfrac%7B0.25%7D%7B2y%7D%20%3D%20a)
![a = \frac{0.25}{2\times 20} = 6.25\times 10^{- 3} ft/s^{2}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B0.25%7D%7B2%5Ctimes%2020%7D%20%3D%206.25%5Ctimes%2010%5E%7B-%203%7D%20ft%2Fs%5E%7B2%7D)
Answer:
2.98 m/s^2
Explanation:
I have done this before and it was a question on my physics test
Answer:
Gravitational Potential Energy = mgh
Explanation:
As the miner moves down, the GPE changes because the height changes.
Gravitational Potential Energy = mgh
Fire is it that lives if it is fed, and dies if you give it a drink.
<h3><u>
Explanation:</u></h3>
Fire is very essential part of human life. It is used for cooking food and for other important activities. Without fire we cannot not survive. Something or the other should be heated before consumption and this can be achieved only with fir. It is also used in the darker places for viewing many things around us.
Thus, fire can survive if we give fuel or any wooden pieces and when water is poured on it it will turn off. Hence Fire is the one that survives when it is fed and dies when water is given as a drink to it.