Answer:
r=0.127
Explanation:
When connected in series
Current = I
When connected in parallel
Current = 10 I
We know that equivalent resistance
In series R = R₁+R₂
in parallel R= R₁R₂/(R₂+ R₁)
Given that voltage is constant (Vo)
V = I R
Vo = I (R₁+R₂) ------------1
Vo = 10 I (R₁R₂/(R₂+ R₁)) -------2
From above equations
10 I (R₁R₂/(R₂+ R₁)) = I (R₁+R₂)
10 R₁R₂ = (R₁+R₂) (R₂+ R₁)
10 R₁R₂ = 2 R₁R₂ + R₁² + R₂²
8 R₁R₂ = R₁² + R₂²
Given that
r = R₁/R₂
Divides by R₂²
8R₁/R₂ = ( R₁/R₂)²+ 1
8 r = r ² + 1
r ² - 8 r+ 1 =0
r= 0.127 and r= 7.87
But given that R₂>R₁ It means that r<1 only.
So the answer is r=0.127
Answer:
![\boxed {\boxed {\sf a=42.8 \ m/s^2}}](https://tex.z-dn.net/?f=%5Cboxed%20%7B%5Cboxed%20%7B%5Csf%20a%3D42.8%20%5C%20m%2Fs%5E2%7D%7D)
Explanation:
Acceleration can be found by dividing the change in velocity by the time.
(<em>v </em>is the final velocity, <em>u</em> is the initial velocity, <em>t </em>is the time).
The velocity increased from 22 m/s to 236 m/s in 5 seconds. Therefore:
![v=236 \ m/s\\u=22 \ m/s\\t= 5 \ s](https://tex.z-dn.net/?f=v%3D236%20%5C%20m%2Fs%5C%5Cu%3D22%20%5C%20m%2Fs%5C%5Ct%3D%205%20%5C%20s)
Substitute the values into the formula.
![a=\frac{236 \ m/s - 22 \ m/s}{5 \ s}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B236%20%5C%20m%2Fs%20-%2022%20%5C%20m%2Fs%7D%7B5%20%5C%20s%7D)
Subtract in the numerator.
![a=\frac{214 \ m/s}{5 \ s}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B214%20%5C%20m%2Fs%7D%7B5%20%5C%20s%7D)
Divide.
![a=42.8 \ m/s^2](https://tex.z-dn.net/?f=a%3D42.8%20%5C%20m%2Fs%5E2)
The acceleration of the object is <u>42.8 meters per square second.</u>
Yes the lightest one will go the highest. if 2 objects with the same mass like a kilogram of feathers and a kilogram of steel they both would hit the ground at the same time bec they are both a kilogram
<span>The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object. </span>
Power = (voltage) x (current) =
(120 V) x (8 A) = <em>960 watts</em>