Answer:
The Ferris wheel's tangential (linear) velocity if the net centripetal force on the woman is 115 N is <u>3.92 m/s</u>.
Explanation:
Let's use <u>Newton's 2nd Law</u> to help solve this problem.
The force acting on the Ferris wheel is the centripetal force, given in the problem:
.
The mass "m" is the <u>sum</u> of the man and woman's masses:
.
The acceleration is the centripetal acceleration of the Ferris wheel:
.
Let's write an equation and solve for "v", the tangential (linear) acceleration.
The Ferris wheel's tangential velocity is 3.92 m/s.
The speed of sound in gases is represented mathematically as:
v(sound) = √γRT/M
where γ = adiabatic constant which is the ratio of the heat capacities at constant pressure and constant volume; Cp/Cv
R = gas constant
T = temperature
M = molar mass of the gas
Hence, the speed of sound in gas is directly proportional to the square root of temperature.
Ans: c) temperature
The work done by a system kept at constant pressure is given by:

where
p is the pressure

is the final volume

is the initial volume
If we plug the numbers given by the problem into this equation, we find

And since

, we have that the work done is
Answer:
The correct option is;
B) The specific heat of ice is less than that of water.
Explanation:
Here we have
Let the amount of energy added to the ice at -10 C to raise the temperature to -5 C be X J
Let the amount of energy added to the water at 15 C to raise the temperature to 20 C be Y J
We know that the heat required, ΔQ to raise the temperature of a substance is given by
ΔQ = m·c·Δθ
Where:
m = Mass of the substance
c = Specific heat capacity
Δθ = Temperature change
Since the mass of the ice and the water are the same, so also is the change in temperature, (-5 - (-10) = 5 and 20 - 15 = 5) we have
for m₂·c₂·Δθ₂ > m₁·c₁·Δθ₁
Where:
m₁, c₁, Δθ₁, is for the ice and m₂, c₂, Δθ₂ is for the water and
m₁ = m₂
Δθ₁ = Δθ₂
Therefore,
c₂ > c₁ = c₁ < c₂
That is the specific heat capacity of the ice is lesser than the specific heat capacity of the water.