Answer:
8563732.58906 Pa
3992793.23326 Pa
5708.00923 J
Explanation:
V = Volume
N = Number of molecules =
T = Temperature = 300 K
b =
= Boltzmann constant =
P = Pressure
We have the equation
The pressure is 8563732.58906 Pa
For isothermal expansion
The pressure is 3992793.23326 Pa
Work done is given by
The work done is 5708.00923 J
Answer:
3.46 seconds
Explanation:
Since the ball is moving in circular motion thus centripetal force will be acting there along the rope.
The equation for the centripetal force is as follows -
Where, is the mass of the ball,
is the speed and
is the radius of the circular path which will be equal to the length of the rope.
This centripetal force will be equal to the tension in the string and thus we can write,
and,
Thus, m/s.
Now, the total length of circular path = circumference of the circle
Thus, total path length = 2πr = 2 × 3.14 × 2 = 12.56 m
Time taken to complete one revolution = =
= 3.46 seconds.
Thus, the mass will complete one revolution in 3.46 seconds.