Answer:

Explanation:
The equation for kappa ( κ) is

we can find the maximum of kappa for a given value of b using derivation.
As b is fixed, we can use kappa as a function of a

Now, the conditions to find a maximum at
are:


Taking the first derivative:








This clearly will be zero when

as both are greater (or equal) than zero, this implies

The second derivative is




We dcan skip solving the equation noting that, if a=b, then

at this point, this give us only the first term

if a is greater than zero, this means that the second derivative is negative, and the point is a minimum
the value of kappa is



A) initial volume
We can calculate the initial volume of the gas by using the ideal gas law:

where

is the initial pressure of the gas

is the initial volume of the gas

is the number of moles

is the gas constant

is the initial temperature of the gas
By re-arranging this equation, we can find

:

2) Now the gas cools down to a temperature of

while the pressure is kept constant:

, so we can use again the ideal gas law to find the new volume of the gas

3) In a process at constant pressure, the work done by the gas is equal to the product between the pressure and the difference of volume:

by using the data we found at point 1) and 2), we find

where the negative sign means the work is done by the surrounding on the gas.
Answer: D
Neither A nor B
Explanation:
In order to check the clearances for rod and main bearings, you need a set of micrometers and a dial-bore gauge
Measuring the inside diameter of a main or rod bearing will require a dial bore gauge. The best ones to use are accurate down to 0.0001-inch.
So, both technician A and B are incorrect
Answer:
4.7 N
Explanation:
130 g = 0.13 kg
The momentum of the snowball when it's thrown at the wall is

Which is also the impulse. From here we can calculate the magnitude of the average force F knowing the duration of the collision is 0.18 s



26.2/3.4 would be the average velocity for the run.
7.7 miles/hr