Answer:
Explanation:
The root mean square velocity of the gas at an equilibrium temperature is given by the following formula:
where,
v = root mean square velocity of molecules:
R = Universal Gas Constant
T = Equilibrium Temperature
M = Molecular Mass of the Gas
Therefore,
For T = T₁ :
For T = T₂ :
Since both speeds are given to be equal. Therefore, comparing both equations, we get:
Answer:Frequency = 3.525 Hertz
Explanation:In static equilibrium, kd =mg
Where k= effective spring constant of the spring.
mg= The weight of the car.
d= static deflection.
Therefore, w =SQRTg/d
w = SQRT 9.81/0.02
w= 22.15 rad/sec
Converting to Hertz unit for frequency
1 rad/s = 0.1591
22.15rad/s=?
22.15 × 0.1591= 3.525 hertz
Answer:
The change in length is 0.01056 m.
Explanation:
Given that,
Length = 11 m
Temperature = 20°C
Pressure = 1 atm
Boiling temperature = 100°C
We need to calculate the length
Using formula of change in linear expansion
Put the value into the formula
Hence, The change in length is 0.01056 m.
Answer:
a) ∆U < 0 and ∆K > 0
Explanation:
The initial kinetic energy is zero since the objects are at rest
KE₁ = 0
The final kinetic energy is positive which means
KE₂ > 0
Therefore, the change is kinetic energy is positive
∆KE > 0
The change in gravitational potential energy is negative since the masses are unequal
Lets suppose mass of 1st object is m₁ and mass of 2nd m₂ and m₂ > m₁
∆U = m₁gh (positive)
∆U = m₂gh (negative)
Since m₂ > m₁ Total change in gravitational potential energy will be negative
∆U < 0
Therefore, the correct option is (a)
∆U < 0 and ∆K > 0
