- #1
Pushoam
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Homework Statement
Homework Equations
The Attempt at a Solution
I want to ask whether there should be a constant in RHS of (5.8).
Should there be a constant in the RHS of (5.8)?
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AI Thread Summary
The discussion centers on whether a constant should be included on the right-hand side (RHS) of equation (5.8). The user notes that the previous step contains a proportionality symbol (##\propto##), indicating a relationship rather than an equality. They express uncertainty about the necessity of a constant in the context of the equation involving the exponential term. The conversation confirms the user's understanding of the relationship between the variables and the exponential function. Ultimately, the need for a constant in the RHS remains a point of inquiry.
I want to ask whether there should be a constant in RHS of (5.8).
- #2
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There is a ##\propto## in the previous step.
- #3
Pushoam
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So, ##g(v_x) ~g(v_y)~g(v_z) ~dv_x ~dv_y ~dv_z ∝ e^{(\frac{-~½mv^2}{k_BT})} ~dv_x ~dv_y ~dv_z ##. Right?Orodruin said:
- #4
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Yes
- #5
Pushoam
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Thank you for helping me.
Neglect gravity other than that of water; neglect friction.
F1=ρgsh=1000*10*1*(1+4)=50000 N;
F1=ρgsh=1000*10*0.1*4=4000 N;
F3=50000-4000=46000 N?
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook.
Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water.
I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system
$$M(t) = M_{C} + m(t)$$
$$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$
$$P_i = Mv + u \, dm$$
$$P_f = (M + dm)(v + dv)$$
$$\Delta P = M \, dv + (v - u) \, dm$$
$$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$
$$F = u \frac{dm}{dt} = \rho A u^2$$
from conservation of momentum , the cannon recoils with the same force which it applies.
$$\quad \frac{dm}{dt}...
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