The focal length of the lens while in water is noted to be 150 cm, whereas in air, it measures 60 cm. To derive these values, the formula incorporates the variations in the refractive index of glass compared to that of the surrounding medium.
Discharge refers to the volume of water flowing down a river or stream within a specific timeframe, typically measured in cubic feet per second or gallons per day. Generally, the discharge of a river is calculated by taking the product of the cross-sectional area of water in the channel and the average velocity of water at that section: discharge = area * velocity. In this instance, the result is 0.2 m/s.
Answer:
Wnet, in, = 133.33J
Explanation:
Provided that
Pump heat QH = 1000J
Hot temperature TH= 300K
Cold temperature TL= 260K
Given the heat pump is entirely reversible, the performance coefficient expression is formulated as follows:
According to the first law of thermodynamics,
COP(HP, rev) = 1/(1-TL/TH)
COP(HP, rev) = 1/(1-260/300)
COP(HP, rev) = 1/(1-0.867)
COP(HP, rev) = 1/0.133
COP(HP, rev) = 7.5
The power necessary to operate the heat pump is given by
Wnet, in = QH/COP(HP, rev)
Wnet, in = 1000/7.5
Wnet, in = 133.333J. QED
Thus, the 133.33J represents the initial work input during the heat transfer process.
<padditionally...><pbased on="" the="" first="" law="" rate="" at="" which="" heat="" is="" extracted="" from="" lower="" temperature="" reservoir="" calculated="" as="">
QL=QH-Wnet, in
QL=1000-133.333
QL=866.67J
</pbased></padditionally...>
Answer:
K = 1.525 10⁻⁹ x⁴ + 4.1 10⁶ x
Explanation:
To calculate the kinetic energy variation, we can utilize the work-energy theorem.
W = ΔK
∫ F .dx = K - K₀
If the object starts from rest, then K₀ = 0.
So, ∫ F dx cos θ = K.
As the force and displacement directions align, the angle is zero, and hence the cosine is 1.
Now we can substitute and perform integration:
α ∫ x³ dx + β ∫ dx = K.
Thus, α x⁴ / 4 + β x = K.
Next, we evaluate from the limits F = 0 to F:
α (x⁴ / 4 - 0) + β (x - 0) = K.
Consequently, K = αX⁴ / 4 + β x.
This results in K = 1.525 10⁻⁹ x⁴ + 4.1 10⁶ x.
To finalize the computation, we need to ascertain the displacement.
Answer:
11109.825 N
Explanation:
Provided Information:
mass = m = 1510 kg
initial acceleration (a) = 0.75g (where g = 9.81 m/s²)
Using the formula F=ma
= (1510)*(0.75*9.81)
= 11109.825 N
