Explanation :
It is given that, q and 4q are placed at a distance of l.
Let x is the distance where third charge is placed so that the entire three charge system is in static equilibrium.
Equilibrium means the net force acting on the system of charges is equal to zero. Let Q is the third charge.
So,
On solving,
For magnitude :
using
So, a charge of -4q/9 is at a distance of l/3 is placed. It is placed to the right of +q.
Angular momentum about point O at this instant and the rate of increase in its speed using only kinematic equations is a= gsinθ.
Angular momentum =I.W
=mr²*V/r
Angular momentum=mvr
F=ma
mgsinθ=m.a
a=gsinθ
The kinematic equations are a collection of equations that explain the motion of an object with constant acceleration. Kinematics is a branch of physics that originated in classical mechanics and describes the motion of points, bodies, and systems of things without taking the forces that propel them. Kinematics is the study of the motion of mechanical objects, bodies, and systems without consideration of their related physical qualities and the forces acting on them. Kinematics equations need understanding of derivatives, rate of change, and integrals. The discipline, often known as the geometry of motion, employs algebra to mathematically represent these movements.
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The distance travelled by the object in the time interval of 3 second is 44.15m
The airresistance would try to decrease the acceleration and thus would decrease the distance the ibject has fallen in 3 seconds.
Explanation:
The object is falling vertically down. Hence the acceleration would be replaced by the acceleration due to gravity "g".
We know that distance "s"= ut +1/2*g*t²
where u- initial velocity of the object
g- acceleration due to gravity= 9.81m/s²
t- time period
Since the object is falling from initial rest position hence u=0
thus the equation reduces to 1/2gt²
S=1/2*(9.81)(3)²
Thus the distance =44.145 m(approximately 44.15 m)
If a small amount of air resistance is present in between it would obstruct the falling of the object. hence, in turn, would oppose "g".
This opposition to "g" would decrease the acceleration and thus body would travel less distance in the same time frame i.e. 3 sec
Only part of your force does work because your force has both a horizontal part and a vertical part. When you pull this way, only part in the same direction as the motion of the suitcase does work. ... The force you exert and the distance that the object moves.