Draw a vector diagram. The net force on particle 1 = F12 + F13 + F14 These forces have to be added as vectors.
We will resolve our forces along the direction 1-4 F12 (tot) = -kQq / a^2 in the direction of particle 4 F12 = -kQq *sin (45) / a^2 F12 = -kQq /( a^2 * sqrt(2) )
By symetry this is the same as F13 F13 = -kQq /( a^2 * sqrt(2) )
F14 = -kQQ / (Sqrt(2)*a) ^ 2
For net force on particle 1 :
F12+F13+F14 = 0 -2kQq /( a^2 * sqrt(2) ) + -kQQ / (Sqrt(2)*a) ^ 2 = 0
Some simple manipulation should give you :
Q/q = -2 sqrt(2)
It rises because hot air is less dense than cool air.
When undergoing an ultrasound, the transducer probe of the ultrasound machine transmits sound waves. It also receives the sound waves that are reflected back after it reaches a boundary.
The reflected waves are received by the probe and relayed to the ultrasound machine. The machine calculates the distance from the probe to the tissue or organ (boundaries) using the speed of sound in tissue and the time of the each echo's return. It then <span>displays the distances and intensities of the echoes on the display screen, forming a two dimensional image. </span>
Neglecting friction and air resistance, the first hill must be built 4 times higher than it is now.
For a car that is pulled by a cable we can say that there are two forces on it
1. force of gravity downwards
2. tension force due to cable upwards
so here if upward force due to cable is more than the weight of the car then we have net upward force on the car
Due to this force the velocity of car will increase with time because here car is also moving upwards and we know that when net force will act in the direction of velocity of car then the velocity will always increase.
So here we can say that velocity of car will increase in this case