Answer:
(a)
, (b) ![\vec E = -6\,i + 12\,j](https://tex.z-dn.net/?f=%5Cvec%20E%20%3D%20-6%5C%2Ci%20%2B%2012%5C%2Cj)
Explanation:
Let be
,
and
, each resultant is found by using the component method:
(a) ![\vec D = \vec A + \vec B + \vec C](https://tex.z-dn.net/?f=%5Cvec%20D%20%3D%20%5Cvec%20A%20%2B%20%5Cvec%20B%20%2B%20%5Cvec%20C)
![\vec D = (3\,i - 3\,j) + (i-4\,j) + (-2\,i+5\,j)\,[m]](https://tex.z-dn.net/?f=%5Cvec%20D%20%3D%20%283%5C%2Ci%20-%203%5C%2Cj%29%20%2B%20%28i-4%5C%2Cj%29%20%2B%20%28-2%5C%2Ci%2B5%5C%2Cj%29%5C%2C%5Bm%5D)
![\vec D = (3\,i + i -2\,i)+(-3\,j-4\,j+5\,j)\,[m]](https://tex.z-dn.net/?f=%5Cvec%20D%20%3D%20%283%5C%2Ci%20%2B%20i%20-2%5C%2Ci%29%2B%28-3%5C%2Cj-4%5C%2Cj%2B5%5C%2Cj%29%5C%2C%5Bm%5D)
![\vec D = (3 + 1 -2)\,i + (-3-4+5)\,j\,[m]](https://tex.z-dn.net/?f=%5Cvec%20D%20%3D%20%283%20%2B%201%20-2%29%5C%2Ci%20%2B%20%28-3-4%2B5%29%5C%2Cj%5C%2C%5Bm%5D)
![\vec D = 2\,i - 2\,j](https://tex.z-dn.net/?f=%5Cvec%20D%20%3D%202%5C%2Ci%20-%202%5C%2Cj)
(b) ![\vec E = -\vec A - \vec B + \vec C](https://tex.z-dn.net/?f=%5Cvec%20E%20%3D%20-%5Cvec%20A%20-%20%5Cvec%20B%20%2B%20%5Cvec%20C)
![\vec E = -(3\,i-3\,j)-(i - 4\,j)+(-2\,i+5\,j)](https://tex.z-dn.net/?f=%5Cvec%20E%20%3D%20-%283%5C%2Ci-3%5C%2Cj%29-%28i%20-%204%5C%2Cj%29%2B%28-2%5C%2Ci%2B5%5C%2Cj%29)
![\vec E = (-3\,i + 3\,j) +(-i+4\,j) + (-2\,i + 5\,j)](https://tex.z-dn.net/?f=%5Cvec%20E%20%3D%20%28-3%5C%2Ci%20%2B%203%5C%2Cj%29%20%2B%28-i%2B4%5C%2Cj%29%20%2B%20%28-2%5C%2Ci%20%2B%205%5C%2Cj%29)
![\vec E = (-3\,i-i-2\,i) + (3\,j+4\,j+5\,j)](https://tex.z-dn.net/?f=%5Cvec%20E%20%3D%20%28-3%5C%2Ci-i-2%5C%2Ci%29%20%2B%20%283%5C%2Cj%2B4%5C%2Cj%2B5%5C%2Cj%29)
![\vec E = (-3-1-2)\,i + (3+4+5)\,j](https://tex.z-dn.net/?f=%5Cvec%20E%20%3D%20%28-3-1-2%29%5C%2Ci%20%2B%20%283%2B4%2B5%29%5C%2Cj)
![\vec E = -6\,i + 12\,j](https://tex.z-dn.net/?f=%5Cvec%20E%20%3D%20-6%5C%2Ci%20%2B%2012%5C%2Cj)
Answer:
<em>C. planetary accretion</em>
Explanation:
<em>Astronomers think planets formed from interstellar dust gases that clumped together in a process called </em><u><em>planetary accretion</em></u><em>.</em>
Answer:
Temperature, density
Explanation:
Physical properties of a substance are those properties that do not change the chemical composition of the substance. There are two types of physical properties namely: intensive property and extensive property.
Intensive properties are those physical properties that does not depend on the sample size of the substance involved. Examples of intensive physical properties are temperature, density, boiling point. For example, the size or amount of a substance does not determine the the TEMPERATURE or BOILING POINT of the substance.
Answer:
14.14 m/s
Explanation:
As total mechanical energy is conserved, if the potential energy is the same at Chad's position no matter if the ball is travelling up or down, then its kinetic energy, and speed, is also the same too.
Therefore, the ball would have a speed of 10m/s when it's passing Chad the 1st time. Since we know that Chad is at 5m high from the release point, we can use the following equation of motion:
![v^2 - v_0^2 = 2g\Delta s](https://tex.z-dn.net/?f=v%5E2%20-%20v_0%5E2%20%3D%202g%5CDelta%20s)
where v = 10 m/s is the velocity of the ball when it passes Chad, v_0 is the initial velocity of the ball when it releases, g = 10 m/s2 is the deceleration of the can, and
is the distance traveled between Nicole and Chad. We can solve for v0:
![10^2 - v_0^2 = 2*(-10)*5](https://tex.z-dn.net/?f=10%5E2%20-%20v_0%5E2%20%3D%202%2A%28-10%29%2A5)
![100 - v_0^2 = -100](https://tex.z-dn.net/?f=100%20-%20v_0%5E2%20%3D%20-100)
![v_0^2 = 200](https://tex.z-dn.net/?f=v_0%5E2%20%3D%20200)
![v_0 = \sqrt{200} = 14.14 m/s](https://tex.z-dn.net/?f=v_0%20%3D%20%5Csqrt%7B200%7D%20%3D%2014.14%20m%2Fs)
A person's weight will be greater on Jupiter than on earth