Answer: Velocity terminal = 0.093m/s
Explanation:
1. We start by evaluating the gap distance between the two cylinders as h = R(sleeve) - R(cylinder)
= (0.0604/2 - 0.06/2)m
= 2×10^-4
Surface are of the cylinder in the drop, which is required in order to evaluate the shearing stress can be expressed as A(cylinder) = π.d.L
= (π×0.06×0.4)m²
= 0.075m²
Since the force of the cylinder's weight is going to balance the shearing force on the walls, we can express the next equation and derive terminal velocity from it.
Shearing stress = u×V.terminal/h = 0.86×V/0.0002
= 4300Vterminal
Therefore, Fw = shearing stress × A
30N = 4300Vterminal × 0.075
V. terminal = 30/4300 m.s
V. terminal = 0.093m/s
Answer:
P = 0.25 W
Explanation:
Given that,
The emf of the battry, E = 2 V
The resistance of a bulb, R = 16 ohms
We need to find the power delivered to the bulb. We know that, the formula for the power delivered is given by :

So, 0.25 W power is delivered to the bulb.
Answer
It will stay the same!
Explanation:
If you so happen to move something from left to right, the size of it is not being shrunk or expanded in any type of way, shape, or form.
Answer:
a)
b)
Explanation:
a) Let's use the constant velocity equation:

- v is the speed of the muon. 0.9*c
- c is the speed of light 3*10⁸ m/s


b) Here we need to use Lorentz factor because the speed of the muon is relativistic. Hence the time in the rest frame is the product of the Lorentz factor times the time in the inertial frame.


v is the speed of muon (0.9c)
Therefore the time in the rest frame will be:



No we use the value of Δt calculated in a)

I hope it helps you!
Answer:


Explanation:
the maximum speed is reached when the drag force and the weight are at equilibrium, therefore:




To calculate the velocity after 100 meters, we can no longer assume equilibrium, therefore:



(1)
consider the next equation of motion:

If assuming initial velocity=0:
(2)
joining (1) and (2):




(3)





To plot velocity as a function of distance, just plot equation (3).
To plot velocity as a function of time, you have to consider the next equation of motion:

as stated before, the initial velocity is 0:
(4)
joining (1) and (4) and reducing you will get:

solving for v:

Plots: