Answer:
5.05225 moles
Explanation:
The computation of the number of moles of gas in the tank is shown below:
Given that
Volume = V = 50 L = 50.0 × 10^-3m^3
Pressure = P = 2.45 atm = 2.45 × 101325
Temperature = T = 22.5°C = (22.5 + 273)k = 295.5 K
As we know thta the value of gas constant R is 8.314 J/mol.K
Now
PV = nRT
n = PV ÷ RT
= ((2.45 × 101325) (50.0 × 10^-3)) ÷ ((8.314) (295.5))
= 5.05225 moles
(a)
mass of the car: m=950 kg
Initial speed:
Final speed: (the car comes to rest)
distance:
We can find the acceleration by using the following SUVAT equation:
Re-arranging it and replacing the numbers, we find the acceleration
So now we can calculate the force using Newton's second law:
And the negative sign means the force is applied against the direction of motion.
(b)
In this case, the distance is different:
so, the acceleration in this case is
And so, the force applied in this case is
which is much larger than the force exerted in the previous exercise.
Answer:
(a) μ = 0.015kg/m
(b) v = 90.64m/s
Explanation:
(a) The linear density of the string is given by the following relation:
(1)
m: mass of the string = 25.3g = 25.3*10-3 kg
L: length of the string = 1.62m
The linear density of the string is 0.015kg/m
(b) The velocity of the string for the fundamental frequency is:
(2)
f1: fundamental frequency = 41.2 Hz
vs: speed of the wave
l: distance between the fixed extremes of the string = 1.10m
You solve for v in the equation (2) and replace the values of the other parameters:
The speed of the wave for the fundamental frequency is 90.64m/s
Answer:
To see objects smaller than microscopic limits
Explanation:
The theory of Relativistic Quantum mechanics can be applied to particles that are massive and propagates at all velocities even those which are comparable to the speed of light and is capable to accommodate particles that are mass less. This theory find its application in atomic physics, high energy physics, etc.
It is necessary to use relativistic quantum mechanics when it is desired to see the objects that are too small to be seen with the help of microscope.