Answer:
26.466cm³/min
Explanation:
Given:
Volume 'V'= 320cm³
P= 95kPa
dP/dt = -11 kPa/minute
pressure P and volume V are related by the equation
P
=C
we need to find dV/dt, so we will differentiate the above equation
![V^{1.4} \frac{dP}{dt} + P\frac{d[V^{1.4} ]}{dt} = \frac{d[C]}{dt}](https://tex.z-dn.net/?f=V%5E%7B1.4%7D%20%5Cfrac%7BdP%7D%7Bdt%7D%20%2B%20P%5Cfrac%7Bd%5BV%5E%7B1.4%7D%20%5D%7D%7Bdt%7D%20%20%3D%20%5Cfrac%7Bd%5BC%5D%7D%7Bdt%7D)

lets solve for dV/dt, we will have

(plugged in all the values at the instant)
= 26.466
Therefore, the volume increasing at the rate of 26.466cm³/min at this instant
In 1600 when William Gilbert published De Magnete
Answer:
The maximum power delivered by the power supply is 0.81 W.
Explanation:
Given that,
Inductance L= 2.0 H
Resistance R = 100 ohm
Voltage = 9.0 V
We need to calculate the power
Using formula of power

Where, P = power
V = voltage
R = resistance
Put the value into the formula


Hence, The maximum power delivered by the power supply is 0.81 W.
Answer:
The ball takes 5.66 seconds to hit the ground.
Explanation:
In this problem, the horizontal wind that interferes with the ball doesn't affect the time in which the balls hit the ground.
To find this time this is the equation for kinetic energy:
Where d is the distance, g is the acceleration of gravity and t is the time that you have to find, you can solve this equation to find t:
Replace the values:

t=5.66 s