Answer:
The short answer is that velocity is the speed with a direction, while speed does not have a direction.
Explanation:
Speed is how fast an object is moving. It is calculated by the displacement of space per a unit of time. Velocity is the rate at which an object changes position in a certain direction. It is calculated by the displacement of space per a unit of time in a certain direction. Velocity deals with direction, while speed does not.
Answer:
The current drawn by the motor from the line is 4.68 A.
Explanation:
Given that,
Internal resistance of the dc motor, r = 3.2 ohms
Voltage, V = 120 V
Emf in the motor, ![\epsilon=105\ V](https://tex.z-dn.net/?f=%5Cepsilon%3D105%5C%20V)
We need to find the current drawn by the motor from the line. A dc motor with its rotor and field coils connected in series, applying loop rule we get :
![V=\epsilon+Ir](https://tex.z-dn.net/?f=V%3D%5Cepsilon%2BIr)
I is current drawn by the motor
![I=\dfrac{V-\epsilon}{r}\\\\I=\dfrac{120-105}{3.2}\\\\I=4.68\ A](https://tex.z-dn.net/?f=I%3D%5Cdfrac%7BV-%5Cepsilon%7D%7Br%7D%5C%5C%5C%5CI%3D%5Cdfrac%7B120-105%7D%7B3.2%7D%5C%5C%5C%5CI%3D4.68%5C%20A)
So, the current drawn by the motor from the line is 4.68 A. Hence, this is the required solution.
Answer:
Explanation:
a) A coin has two sides, therefore the total outcome possible when a coin is tossed is 2 i.e Head (H) and Tail (T)
outcome of two coins will be 4 i.e 2^2
Outcome of three coins will be 8 i.e 2^3 and so on. Since its following a trend, the outcome when 'n' coins is tossed will be 2^n.
Using the general formula, the possible outcome when a coin is tossed 13 times will be "2^13"
b)
The equation of our ellipse is:
(1)
First, let's reduce the equation of the ellipse to the standard form:
![\frac{x^2}{a^2}+ \frac{y^2}{b^2}=1](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%5E2%7D%7Ba%5E2%7D%2B%20%5Cfrac%7By%5E2%7D%7Bb%5E2%7D%3D1%20%20)
To do that, we should divide both terms of equation (1) by 6400, and we get:
![\frac{x^2}{64}+ \frac{y^2}{100}=1](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%5E2%7D%7B64%7D%2B%20%5Cfrac%7By%5E2%7D%7B100%7D%3D1%20%20)
This is a vertical ellipse (because
) centered in the origin, and so the distance of its foci from the origin (on the y axis) is given by
![c= \sqrt{b^2-a^2}= \sqrt{(100)-(64)}=6](https://tex.z-dn.net/?f=c%3D%20%5Csqrt%7Bb%5E2-a%5E2%7D%3D%20%5Csqrt%7B%28100%29-%2864%29%7D%3D6)
Therefore, the position of the two foci is (0,6) and (0,-6)