1. white
2. colors
3. reflecting
4. light
5. waves interferences
6. reflect
7. add
8. brighter
9. cancel
It's being planned to launch in the 2020's
Answer:
-2.5 m/s²
Explanation:
The acceleration of a body is the change in it's velocity with time.
The change in velocity with time can be obtained as the slope of a velocity time graph ;
Acceleration = (change in velocity / change in time)
Taking the slope :
Change in Velocity = △y = y2 - y1
Change in time = △x = x2 - x1
(10, 15) ; (0, 40)
△y / △x = y2 - y1 / x2 - x1 = (40 - 15) / (0 - 10)
△y / △x = 25 / - 10 = - 2.5 m/s²
The statement about "<span>Power is the time rate of change of work" is true. The answer is letter A. Power is presented by the equation P = Wt where P is the power, W is work and t is time.</span>
Answer:
(a) ![F_i=68.58\ N](https://tex.z-dn.net/?f=F_i%3D68.58%5C%20N)
(b) ![F_i=69.903\ N](https://tex.z-dn.net/?f=F_i%3D69.903%5C%20N)
Explanation:
Given:
- density of hydraulic oil,
![\rho=830\ kg.m^{-3}](https://tex.z-dn.net/?f=%5Crho%3D830%5C%20kg.m%5E%7B-3%7D)
- radius of input piston,
![r_i=6.3\times 10^{-3}\ m](https://tex.z-dn.net/?f=r_i%3D6.3%5Ctimes%2010%5E%7B-3%7D%5C%20m)
- radius of output plunger,
![r_o=0.125\ m](https://tex.z-dn.net/?f=r_o%3D0.125%5C%20m)
- force to be supported,
![F_o=27000\ N](https://tex.z-dn.net/?f=F_o%3D27000%5C%20N)
(a)
<u><em>Condition:</em></u><em>The bottom surfaces of piston and plunger at the same level.</em>
According to Pascal's law the pressure of a fluid is exerted equally in all directions against the walls of its container.
Mathematically:
![\frac{F_i}{A_i} =\frac{F_o}{A_o}](https://tex.z-dn.net/?f=%5Cfrac%7BF_i%7D%7BA_i%7D%20%3D%5Cfrac%7BF_o%7D%7BA_o%7D)
putting respective values
![\frac{F_i}{\pi\times r_i^2} =\frac{27000}{\pi\times r_o^2}](https://tex.z-dn.net/?f=%5Cfrac%7BF_i%7D%7B%5Cpi%5Ctimes%20r_i%5E2%7D%20%3D%5Cfrac%7B27000%7D%7B%5Cpi%5Ctimes%20r_o%5E2%7D)
![\frac{F_i}{\pi\times (6.3\times 10^{-3})^2} =\frac{27000}{\pi\times 0.125^2}](https://tex.z-dn.net/?f=%5Cfrac%7BF_i%7D%7B%5Cpi%5Ctimes%20%286.3%5Ctimes%2010%5E%7B-3%7D%29%5E2%7D%20%3D%5Cfrac%7B27000%7D%7B%5Cpi%5Ctimes%200.125%5E2%7D)
![F_i=68.58\ N](https://tex.z-dn.net/?f=F_i%3D68.58%5C%20N)
(b)
<u><em>Condition:</em></u><em>The bottom surface of the output plunger is 1.30 m above that of the input piston.</em>
Given:
![h=1.3\ m](https://tex.z-dn.net/?f=h%3D1.3%5C%20m)
Now,
![P_i=P_o+\rho.g.h](https://tex.z-dn.net/?f=P_i%3DP_o%2B%5Crho.g.h)
![\frac{F_i}{\pi\times (6.3\times 10^{-3})^2} =\frac{27000}{\pi\times 0.125^2} +830\times 9.8\times 1.3](https://tex.z-dn.net/?f=%5Cfrac%7BF_i%7D%7B%5Cpi%5Ctimes%20%286.3%5Ctimes%2010%5E%7B-3%7D%29%5E2%7D%20%3D%5Cfrac%7B27000%7D%7B%5Cpi%5Ctimes%200.125%5E2%7D%20%2B830%5Ctimes%209.8%5Ctimes%201.3)
![F_i=69.903\ N](https://tex.z-dn.net/?f=F_i%3D69.903%5C%20N)