A particle, originally at rest and located at point (3 ft, 2 ft, 5 ft), is subjected to an acceleration a = {6ti + 12t^2k} ft/s^
1 answer:
You might be interested in
Answer: The new volume is 5 L.
Explanation: <u>Boyle's Law</u> describes the relationship between an ideal gas and pressure, volume and temperature, when temperature and the amount of gas are constant.
According to this law:
P₁V₁ = P₂V₂
Which states that, under those conditions, the pressure of the gas is inversely proportional to the volume.
It is also adequate to use this law when you want to determine pressure or volume at its initial or final value.
Since it is asked the final volume:
P₁V₁ = P₂V₂
V₂ =
V₂ =
V₂ = 5
When the gas is compressed until pressure of 3 atm, its volume is 5 liters.
Answer:
Vout= 93.3V
Explanation:
For this question, consider circuit in the attachment 1.
This is the circuit of an inverting amplifier. In an inverting amplifier
Vout/Vin= -Rf/Rin
To calculate the Vout, we must find Rin and Vin. For this we must solve the input circuit (attachment 2) using Thevinine theorem. Thevnine theorem states that all voltage sources in a circuit can be replaced by an equivalent voltage source Veq and and all resistances can be replaced by an equivalent resistance Req. To find out Req all voltage sources must be short circuited (attachment 3)
1/Req= 1/R1+1/R2+1/R3
1/Req=1/6+1/3+1/3
Req=6/5
To find out Veq consider circuit in attachment 4. We will solve this circuit using nodal analysis. In nodal analysis, we use the concept that sum of currents entering a node is equal to the sum of currents leaving a node. So,
I1= I2+I3
(10-Veq)/6= (Veq-5)/3+(Veq-10)/3
Veq=8V
Now the input circuit can be simplified as shown in attachment 5. Solve for Vout using equation
Vout/Veq= -Rf/Req
Vout/8= -14/(6/5)
Vout= - 93.3
It is at an angle of 180° from Veq
