Equation C describes the sum of the vectors plotted below.
<h3>What is a vector?</h3>
A vector is a quantity or phenomena with magnitude and direction that are independent of one another. The phrase also refers to a quantity's mathematical or geometrical representation.
If no vector can be written as a linear combination of the others, a set of vectors is said to be linearly independent.
The given points from the graph is obtained as;
a = (2,1)
b = (3,-2)
Vector, OA = 2x + y
Vector, AB = x - 3 y
From the triangular lawe of the vector addition;
![\rm r= \vec{OA} +\vec{OB}\\\\\ r= 2x+y+x-3y \\\\ r= 3x-2y](https://tex.z-dn.net/?f=%5Crm%20r%3D%20%20%5Cvec%7BOA%7D%20%2B%5Cvec%7BOB%7D%5C%5C%5C%5C%5C%20r%3D%202x%2By%2Bx-3y%20%5C%5C%5C%5C%20r%3D%203x-2y)
Hence,option C is correct.
To learn more about the vector refer to the link;
brainly.com/question/13322477
#SPJ1
Answer:
Explanation:
a ) The direction of angular velocity vector of second hand will be along the line going into the plane of dial perpendicular to it.
b ) If the angular acceleration of a rigid body is zero, the angular velocity will remain constant.
c ) If another planet the same size as Earth were put into orbit around the Sun along with Earth the moment of inertia of the system will increase because the mass of the system increases. Moment of inertia depends upon mass and its distribution around the axis.
d ) Increasing the number of blades on a propeller increases the moment of inertia , because both mass and mass distribution around axis of rotation increases.
e ) It is not possible that a body has the same moment of inertia for all possible axes because a body can not remain symmetrical about all axes possible. Sphere has same moment of inertia about all axes passing through its centre.
f ) To maximize the moment of inertia of a flywheel while minimizing its weight, the shape and distribution of mass should be such that maximum mass of the body may be situated at far end of the body from axis of rotation . So flywheel must have thick outer boundaries and this should be
attached with axis with the help of thin rods .
g ) When the body is rotating at the same place , its translational kinetic energy is zero but its rotational energy can be increased
at the same place.
Answer:
3 photons
Explanation:
The energy of a photon E can be calculated using this formula:
![E=\frac{hc}{\lambda}](https://tex.z-dn.net/?f=E%3D%5Cfrac%7Bhc%7D%7B%5Clambda%7D)
Where
corresponds to Plank constant (6.626070x10^-34Js),
is the speed of light in the vacuum (299792458m/s) and
is the wavelength of the photon(in this case 800nm).
![E=\frac{hc}{\lambda}=\frac{(6.626070\times10^{-34})(299792458)}{800\times10^{-9}}=\frac{1.986445812\times10^-25}{800}=2.483057265\times10^{-19}J](https://tex.z-dn.net/?f=E%3D%5Cfrac%7Bhc%7D%7B%5Clambda%7D%3D%5Cfrac%7B%286.626070%5Ctimes10%5E%7B-34%7D%29%28299792458%29%7D%7B800%5Ctimes10%5E%7B-9%7D%7D%3D%5Cfrac%7B1.986445812%5Ctimes10%5E-25%7D%7B800%7D%3D2.483057265%5Ctimes10%5E%7B-19%7DJ)
Tranform the units
![1eV=1.602176634\times10^{-19}J\\2.483057265\times10^{-19}J(\frac{1eV}{1.602176634\times10^{-19}J})=1.549802445eV](https://tex.z-dn.net/?f=1eV%3D1.602176634%5Ctimes10%5E%7B-19%7DJ%5C%5C2.483057265%5Ctimes10%5E%7B-19%7DJ%28%5Cfrac%7B1eV%7D%7B1.602176634%5Ctimes10%5E%7B-19%7DJ%7D%29%3D1.549802445eV)
The band Gap is 4eV, divide the band gap between the energy of the photon:
![\frac{4ev}{1.549802445eV}=2.508974118](https://tex.z-dn.net/?f=%5Cfrac%7B4ev%7D%7B1.549802445eV%7D%3D2.508974118)
Rounding to the next integrer: 3.
Three photons are the minimum to equal or exceed the band gap.
F = 750 N (Force)
d = 10 m (displacement
)
t = 25 s (time)
L = ? (Mechanical work
) = (Energy)
P = ? (Power)
Solve:
L = F × d = 750 × 10 = 7500 Joules
P = L / t = 7500 / 25 = 300 Watts
Answer:
By Gaining Electrons
Explanation:
A nuetral atom is negative when it gains electrons, and it can be positive when it loses electrons.