Answer:
The initial and final temperatures of the gas is 300 K and 600 K.
Explanation:
Given that,
Entropy of the gas = 14.41 J/K
Absorb gas = 6236 J
We know that,

At constant pressure,



Put the value into the formula




...(I)
We need to calculate the initial and final temperatures of the gas
Using formula of energy

Put the value into the formula




Put the value of T₂


Put the value of T₁ in equation (I)


Hence, The initial and final temperatures of the gas is 300 K and 600 K.
Answer:
a)
b)
c)
Explanation:
a) The angular velocity is related to the centripetal acceleration by the formula
, which for our purposes we will write as:

Since <em>we want this acceleration to be 1.5 times that due to gravity</em>, for our values we will have:

b) 1 rpm (revolution per minute) is equivalent to an angle of
radians in 60 seconds:

Which means <em>we can use the conversion factor</em>:

So we have (multiplying by the conversion factor, which is 1, not affecting anything but transforming our units):

c) The centripetal force will be given by Newton's 2nd Law F=ma, so on the centripetal direction for our values we have:

Answer:
C.
m
Explanation:
We are given that
Weight of board=w=10 N
Length of board=L=5 m
Tension in the string=T=3 N
Applied upward force=F=7 N
We have to find the distance at which its left wedge would they need to place this force in order for the board to be in static equilibrium.
Let r be the distance at which its left wedge would they need to place this force in order for the board to be in static equilibrium.
The board is uniform therefore, the center of board is the mid- point of board.
Therefore, the lever arm of weight=
Now, the torque exerted by the weight of the board

The torque exerted by applied force=
In static equilibrium
The sum of rotational forces=0

The two rotational force act in opposite direction therefore,

Substitute the values


m
Hence, option C is true.