Answer: (5/6) m/s
Explanation:
Distance = 100m
Time taken = 2 min
= 2 × 60 s
= 120 s
Speed = ?
Now,
Speed = distance / time taken
Speed = 100 / 120
Speed = (5/6) m/s
Answer: The angular speed w of the loop = 181 rad/s
Explanation:
Given that;
Area A = 0.193 m2
Magnetic field B = 0.374 T
E.m.f = 9.24v
Ø = 45 degree
According to Faraday's law when the magnetic flux linking a circuit changes, an electromotive force is induced in the circuit proportional to the rate of change of the flux linkage.
Using the formula
E.m.f = NABwcosØ
Where w = angular velocity.
Let assume that N = 1 then,
9.24 = 0.193 × 0.374 × w × cos45
9.24 = 0.051w
w = 9.24/0.051
w = 181 m/s
Therefore, the angular speed w of the loop = 181 rad/s
Answer:
The average kinetic energy of a gas molecule is 8.49 × 10⁻²¹ J
Explanation:
According to Kinetic Molecular Theory, the average kinetic energy of gas molecules is a function only of temperature and is given by the equation:


Substituting the value of T in the kinetic energy equation:

Where p is the pressure of the gas = 9 atm = 9 × 101325 pa
k is the Boltzmann’s constant = 1.38066 × 10⁻²³ J/K,
V is the volume of the gas = 7.1 L = 7.1 × 10⁻³ m³
n is the number of moles of the gas = 1.9 mol
R is the universal gas constant = 8.31451 J/K · mol.
E is the average kinetic energy of a gas molecule
Substituting values:

The average kinetic energy of a gas molecule is 8.49 × 10⁻²¹ J