Answer:
Explanation:
The thermal efficiency of a Power cycle 
where;
--- (1)
---- (2)
The coefficient of performance is:
let replace the value of in the above equation then;
The
On the other hand, the heat pump
By replacing equation (1) into the above equation; we have:
t
Answer:
The displacement of the same mass on the same spring on the Moon is 0.05 m.
Explanation:
Given;
mass suspended from one end of the spring, m = 0.500 kg
displacement on the spring on Earth, x = 0.3 m
Apply Newton's second law of motion;
F = ma = mg
where;
m is mass on the spring
g is acceleration due to gravity
Also, apply Hook's law;
F = Kx
where;
K is force constant
x is extension or diplacement of the spring
Combine the two equations from the two laws;
mg = kx
when the spring in on Earth;
0.5 x 9.8 = 0.3k
4.9 = 0.3k
k = 4.9 / 0.3
k = 16.333 N/m
when the spring is on moon;
mg = kx
mass is the same = 0.5 kg
acceleration due to gravity on moon = ¹/₆ that of Earth = ¹/₆ x 9.8 m/s²
0.5 (¹/₆ x 9.8) = 16.333 x
0.8167 = 16.333 x
x = 0.8167 / 16.333
x = 0.05 m
Therefore, the displacement of the same mass on the same spring on the Moon is 0.05 m.
Answer: (A) The number of waves that pass a point in a certain amount of time.
Explanation:
Electromagnetic waves are categorized according to their frequency f or, equivalently, according to their wavelength λ = c/f. Visible light has a wavelength range from ~400 nm to ~700 nm.
Frequency: Is the number of waves that pass a certain point in a specified amount of time.
Trough: The low point of the wave cycle.
Wavelength: The distance between two successive peaks.
Electromagnetic wave: One of the waves that are propagated by simultaneous periodic variations of electric and magnetic field intensity.
Let the cold water go up x degrees.
Let the hot water go down 100 - x degrees.
The formula for heat exchange is m*c*delta t
Givens
Ice
deltat = x
m = 0.50 kg
c = 4.18
Hot water
deltat = 100 - x
m = 1.5 kg
c = 4.18
Formula
The heat up = heat down
0.50 * c * x = 1.5 * c * (100 - x) Divide both sides by c
Solution
0.50 *x = 1.5*(100 - x) Remove the brackets.
0.5x = 150 - 1.5x Add 1.5x to both sides.
0.5x + 1.5x = 150 - 1.5x + 1.5x Combine like terms
2x = 150 Divide by 2
x = 75
Answer
A
<u><em>Answer</em></u>
A) 1,347.5 Joules
B) 22.49 m/s
<u><em>Explanation</em></u>
<u>Part A</u>
The work done by the gravity is known as potential energy.
It is given by;
P.E = mgh
Where m is mass, g is acceleration due to gravity and h is the vertical height.
P.E = 5.5 × 9.8 ×25
= 1,347.5 Joules.
<u>Part B</u>
Using the Newton's third Law of motion,
V² = U² +2as
Where v is final velocity, u is the initial velocity, and s is the displacement of the stone.
V² = 4² + (2×9.8×25)
= 16 + 490
= 506
V = √506
= 22.49 m/s
