To calculate we use the formula for a magnetic force in a current-carrying wire expressed as the product of the current, magnetic field and the length of the wire.
F = I x L x B
where F is the force on the wire, I is the current flowing on the wire, L is the length of the wire and B is the magnetic field.
F = 10.0 A x 1.2 m x 0.050 T
F = 0.60 N
Answer:
Vrms = 291 m/s
Explanation:
The root mean square velocity or vrms is the square root of the average square velocity and is. vrms=√3RTM. Where M is equal to the molar mass of the molecule in kg/mol.
Temperature = 365 K
Root mean square velocity = ?
molar mass of oxygen = 16 g/mol.
But xygen gas (O2) is comprised of two oxygen atoms bonded together. Therefore:
molar mass of O2 = 2 x 16
molar mass of O2 = 32 g/mol
Convert this to kg/mol:
molar mass of O2 = 32 g/mol x 1 kg/1000 g
molar mass of O2 = 3.2 x 10-2 kg/mol
Molar mass of Oxygen = 3.2 x 10-2 kg/mol
Vrms = √[3(8.3145 (kg·m2/sec2)/K·mol)(365 K)/3.2 x 10-2 kg/mol]
Vrms = 291 m/s
Answer:
a) The final pressure is 1.68 atm.
b) The work done by the gas is 305.3 J.
Explanation:
a) The final pressure of an isothermal expansion is given by:
![T_{i} = T_{f}](https://tex.z-dn.net/?f=%20T_%7Bi%7D%20%3D%20T_%7Bf%7D%20)
Where:
: is the initial pressure = 5.79 atm
: is the final pressure =?
: is the initial volume = 420 cm³
: is the final volume = 1450 cm³
n: is the number of moles of the gas
R: is the gas constant
Hence, the final pressure is 1.68 atm.
b) The work done by the isothermal expansion is:
![W = P_{i}V_{i}ln(\frac{V_{f}}{V_{i}}) = 5.79 atm*\frac{101325 Pa}{1 atm}*420 cm^{3}*\frac{1 m^{3}}{(100 cm)^{3}}ln(\frac{1450 cm^{3}}{420 cm^{3}}) = 305.3 J](https://tex.z-dn.net/?f=%20W%20%3D%20P_%7Bi%7DV_%7Bi%7Dln%28%5Cfrac%7BV_%7Bf%7D%7D%7BV_%7Bi%7D%7D%29%20%3D%205.79%20atm%2A%5Cfrac%7B101325%20Pa%7D%7B1%20atm%7D%2A420%20cm%5E%7B3%7D%2A%5Cfrac%7B1%20m%5E%7B3%7D%7D%7B%28100%20cm%29%5E%7B3%7D%7Dln%28%5Cfrac%7B1450%20cm%5E%7B3%7D%7D%7B420%20cm%5E%7B3%7D%7D%29%20%3D%20305.3%20J%20)
Therefore, the work done by the gas is 305.3 J.
I hope it helps you!
Answer:
![F = 4.3671 * 10^{-8}\ Newtons](https://tex.z-dn.net/?f=F%20%3D%204.3671%20%2A%2010%5E%7B-8%7D%5C%20Newtons)
Explanation:
The gravitational force between two corpses is given by the following equation:
![F = GMm/d^2](https://tex.z-dn.net/?f=F%20%3D%20GMm%2Fd%5E2)
Where F is the force, G is the gravitational constant
(
), M and m are the masses of the corpses and d is the distance between them.
So we have that:
![F = 6.67408*10^{-11} * 7.1*10^4 * 73/89^2](https://tex.z-dn.net/?f=F%20%3D%206.67408%2A10%5E%7B-11%7D%20%2A%207.1%2A10%5E4%20%2A%2073%2F89%5E2)
![F = 4.3671 * 10^{-8}\ Newtons](https://tex.z-dn.net/?f=F%20%3D%204.3671%20%2A%2010%5E%7B-8%7D%5C%20Newtons)
Answer:
d. zero
Explanation:
Constant velocity means the acceleration is zero. In this case the velocity does not change,
hope this helps you
have a good day :)