Answer:
This question can be answered by using conversation of energy.
![K_1 + U_1 = K_2 + U_2](https://tex.z-dn.net/?f=K_1%20%2B%20U_1%20%3D%20K_2%20%2B%20U_2)
![\frac{1}{2}mv_{0}^2 + mgh_1 = 0 + mgh_2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dmv_%7B0%7D%5E2%20%2B%20mgh_1%20%3D%200%20%2B%20mgh_2)
![\frac{1}{2}(3)v_0^2 + (3)(9.8)(30) = (3)(9.8)(45)\\\frac{1}{2}(3)v_0^2 = 441\\v_0^2 = 294\\v_0 = 17.14 m/s](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%283%29v_0%5E2%20%2B%20%283%29%289.8%29%2830%29%20%3D%20%283%29%289.8%29%2845%29%5C%5C%5Cfrac%7B1%7D%7B2%7D%283%29v_0%5E2%20%3D%20441%5C%5Cv_0%5E2%20%3D%20294%5C%5Cv_0%20%3D%2017.14%20m%2Fs)
Explanation:
Note that we take
because we are looking for the minimum initial speed for the penguin to reach the top of the second hill. Any other speed more than this will already be enough for him.
Answer:
I thibknits 175
Explanation: It's the furthest
PET is a eco friendly plastics because it is fully recyclable it’s highly sustainable material. EVA is also eco friendly plastic because it is fully recyclable plastic
Answer:
The mass of the banana is m and it is at height h.
Applying the Law of Conservation of Energy
Total Energy before fall = Total Energy after fall
=
Here, total energy is the sum of kinetic energy and potential energy
+
=
+
(a)
When banana is at height h, it has
= 0 and
= mgh
and when it reaches the river, it has
= 1/2m
and
= 0
Putting the values in equation (a)
0 + mgh = 1/2m
+ 0
mgh = 1/2m![v^{2}](https://tex.z-dn.net/?f=v%5E%7B2%7D%20)
<em>cutting 'm' from both sides</em>
<em> </em>gh = 1/2![v^{2}](https://tex.z-dn.net/?f=v%5E%7B2%7D%20)
v = ![\sqrt{2gh}](https://tex.z-dn.net/?f=%5Csqrt%7B2gh%7D%20)
Hence, the velocity of banana before hitting the water is
v = ![\sqrt{2gh}](https://tex.z-dn.net/?f=%5Csqrt%7B2gh%7D%20)