We know that speed equals distance between time. Therefore to find the distance we have that d = V * t. Substituting the values d = (72 Km / h) * (1h / 3600s) * (4.0 s) = 0.08Km.Therefore during this inattentive period traveled a distance of 0.08Km
Its rays point away from the charge
Answer:
a) The x coordinate of the third mass is -1.562 meters.
b) The y coordinate of the third mass is -0.944 meters.
Explanation:
The center of mass of a system of particles (
), measured in meters, is defined by this weighted average:
(1)
Where:
- Mass of the i-th particle, measured in kilograms.
- Location of the i-th particle with respect to origin, measured in meters.
If we know that
,
,
,
,
and
, then the coordinates of the third particle are:
![(-0.500\,m, -0.700\,m) = \frac{(1\,kg)\cdot (-1.20\,m,0.500\,m)+(4.50\,kg)\cdot (0.600\,m,-0.750\,m)+(4\,kg)\cdot \vec r_{3}}{1\,kg+4.50\,kg+4\,kg}](https://tex.z-dn.net/?f=%28-0.500%5C%2Cm%2C%20-0.700%5C%2Cm%29%20%3D%20%5Cfrac%7B%281%5C%2Ckg%29%5Ccdot%20%28-1.20%5C%2Cm%2C0.500%5C%2Cm%29%2B%284.50%5C%2Ckg%29%5Ccdot%20%280.600%5C%2Cm%2C-0.750%5C%2Cm%29%2B%284%5C%2Ckg%29%5Ccdot%20%5Cvec%20r_%7B3%7D%7D%7B1%5C%2Ckg%2B4.50%5C%2Ckg%2B4%5C%2Ckg%7D)
![(-4.75\,kg\cdot m, -6.65\,kg\cdot m) = (-1.20\,kg\cdot m, 0.500\,kg\cdot m) + (2.7\,kg\cdot m, -3.375\,kg\cdot m) +(4\cdot x_{3},4\cdot y_{3})](https://tex.z-dn.net/?f=%28-4.75%5C%2Ckg%5Ccdot%20m%2C%20-6.65%5C%2Ckg%5Ccdot%20m%29%20%3D%20%28-1.20%5C%2Ckg%5Ccdot%20m%2C%200.500%5C%2Ckg%5Ccdot%20m%29%20%2B%20%282.7%5C%2Ckg%5Ccdot%20m%2C%20-3.375%5C%2Ckg%5Ccdot%20m%29%20%2B%284%5Ccdot%20x_%7B3%7D%2C4%5Ccdot%20y_%7B3%7D%29)
![(4\cdot x_{3}, 4\cdot y_{3}) = (-6.25\,kg\cdot m,-3.775\,kg\cdot m)](https://tex.z-dn.net/?f=%284%5Ccdot%20x_%7B3%7D%2C%204%5Ccdot%20y_%7B3%7D%29%20%3D%20%28-6.25%5C%2Ckg%5Ccdot%20m%2C-3.775%5C%2Ckg%5Ccdot%20m%29)
![(x_{3},y_{3}) = (-1.562\,m,-0.944\,m)](https://tex.z-dn.net/?f=%28x_%7B3%7D%2Cy_%7B3%7D%29%20%3D%20%28-1.562%5C%2Cm%2C-0.944%5C%2Cm%29)
a) The x coordinate of the third mass is -1.562 meters.
b) The y coordinate of the third mass is -0.944 meters.