Newton's second law of motion involves the effect of force acting on a mass.
It has to be understood that this actually means the combination of any and
all individual forces acting on it, with their individual strengths and directions
all added together.
When all the individual forces acting on an object add up to zero, then the
whole group of forces is said to be 'balanced'.
When all the individual forces acting on an object don't add up to zero, then
the whole group of forces is said to be 'unbalanced'.
Notice that there's no such thing as 'a balanced force' or 'an unbalanced force'.
It's a <u>group</u> of two or more forces that's balanced or unbalanced.
Explanation:
The final velocity of the bale have vertical and horizontal components. So, we have:
![v^2=v_x^2+v_y^2(1)](https://tex.z-dn.net/?f=v%5E2%3Dv_x%5E2%2Bv_y%5E2%281%29)
According to conservation of energy:
![\frac{mv_y^2}{2}=mgh\\v_y=\sqrt{2gh}](https://tex.z-dn.net/?f=%5Cfrac%7Bmv_y%5E2%7D%7B2%7D%3Dmgh%5C%5Cv_y%3D%5Csqrt%7B2gh%7D)
Since the plane is flying due east, we have
. Replacing in (1):
![v=\sqrt{(\sqrt{2gh})^2+v_x^2}\\v=\sqrt{2(9,81\frac{m}{s^2})(66m)+(49\frac{m}{s})^2}\\v=60.78\frac{m}{s}](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B%28%5Csqrt%7B2gh%7D%29%5E2%2Bv_x%5E2%7D%5C%5Cv%3D%5Csqrt%7B2%289%2C81%5Cfrac%7Bm%7D%7Bs%5E2%7D%29%2866m%29%2B%2849%5Cfrac%7Bm%7D%7Bs%7D%29%5E2%7D%5C%5Cv%3D60.78%5Cfrac%7Bm%7D%7Bs%7D)
Now, we calculate the momentum of the bale:
![p=mv\\p=\frac{160N}{9.81\frac{m}{s^2}}(60.78\frac{m}{s})\\p=991.32\frac{kg\cdot m}{s}](https://tex.z-dn.net/?f=p%3Dmv%5C%5Cp%3D%5Cfrac%7B160N%7D%7B9.81%5Cfrac%7Bm%7D%7Bs%5E2%7D%7D%2860.78%5Cfrac%7Bm%7D%7Bs%7D%29%5C%5Cp%3D991.32%5Cfrac%7Bkg%5Ccdot%20m%7D%7Bs%7D)
From pythagoras theorem we know that:
![tan\theta=\frac{opposite}{adjacent}\\tan\theta=\frac{v_x}{v_y}\\\theta=tan^{-1}(\frac{v_x}{v_y})\\\theta=tan^{-1}(\frac{60,78\frac{m}{s}}{49\frac{m}{s}})\\\theta=51.12^\circ](https://tex.z-dn.net/?f=tan%5Ctheta%3D%5Cfrac%7Bopposite%7D%7Badjacent%7D%5C%5Ctan%5Ctheta%3D%5Cfrac%7Bv_x%7D%7Bv_y%7D%5C%5C%5Ctheta%3Dtan%5E%7B-1%7D%28%5Cfrac%7Bv_x%7D%7Bv_y%7D%29%5C%5C%5Ctheta%3Dtan%5E%7B-1%7D%28%5Cfrac%7B60%2C78%5Cfrac%7Bm%7D%7Bs%7D%7D%7B49%5Cfrac%7Bm%7D%7Bs%7D%7D%29%5C%5C%5Ctheta%3D51.12%5E%5Ccirc)
Answer:
Noise cancelling headphones have a microphone which listens to the ambient noise. The headphone then processes the sound and provides a wave to produce destructive interference. This cancels the ambient noise.
Explanation:
First, let us understand what interference is. Interference is the phenomenon that occurs when two waves superpose to form a wave which has a different wavelength, frequency, amplitude than the original two waves. When the crest of one wave superposes with the other waves crest then this results in the amplitude increasing. This is known as constructive interference. When the crest of one wave superposes with the other waves trough then this results in the amplitude decreasing. This known as destructive interference.
Noise cancelling headphones have a microphone which listens to the ambient noise. The headphone then processes the sound and provides a wave to produce destructive interference. This cancels the ambient noise.
Answer: The average distance between the Earth and the Sun
At the subduction zone a very deep trench is formed in the ocean floor. Oceanic and oceanic plate convergence result in the formation of volcano chains. The crust that is pulled under or subducted melts to form magma. This magma rises to the top of the overriding oceanic plates and erupts on the ocean floor.
So the answer would be Volcano