Answer:
speed of the spaceship is 0.495251 c
Time T = 1.4982 hr
Explanation:
given data
length L1 = 1600 m
length L2 = 1390 m
to find out
speed of the spaceship and time
solution
we know here
L2 = L1 × 
so we find V by put L1 and L2
1390 = 1600 × 
V = 0.495251 c
speed of the spaceship is 0.495251 c
and
we know T1 = 1.95 hr
so we find T2
T1 = T2 
put here V and T1 so we get T2
1.95 = T2 
Time T = 1.4982 hr
Answer:
30.22 hours
Explanation:
Given data:
A= l² = (2 x
)² = 4 x
m²
Length 'L' = 5m
current '
' = 2 A
density of free electrons 'n'= 8.5 x
/m³
Current Density 'J' =
/ A
J= 2/4 x
J= 5 x
A/m²
We can determine the time required for an electron to travel the length of the wire by
T= L/ Vd
Where,
L is length and Vd is drift velocity.
Vd can be defined by J/ n|q|
where,
n is the charge-carrier number density
|q| is is the charge carried by each charge carrier
=>1.6 x
C
T= L/ Vd
Therefore,
T= L . n|q| / J
T= (4 x 8.5 x
x |1.6 x
|)/5 x
T= 108800 seconds =>1813.33 minutes
Converting minute into hours:
T= 30.22 hours
Thus, time that is required for an electron to travel the length of the wire is 30.22 hours
The ducks' flight path as observed by someone standing on the ground is the sum of the wind velocity and the ducks' velocity relative to the wind:
ducks (relative to wind) + wind (relative to Earth) = ducks (relative to Earth)
or equivalently,

(see the attached graphic)
We have
- ducks (relative to wind) = 7.0 m/s in some direction <em>θ</em> relative to the positive horizontal direction, or

- wind (relative to Earth) = 5.0 m/s due East, or

- ducks (relative to earth) = some speed <em>v</em> due South, or

Then by setting components equal, we have


We only care about the direction for this question, which we get from the first equation:



or approximately 136º or 224º.
Only one of these directions must be correct. Choosing between them is a matter of picking the one that satisfies <em>both</em> equations. We want

which means <em>θ</em> must be between 180º and 360º (since angles in this range have negative sine).
So the ducks must fly (relative to the air) in a direction 224º relative to the positive horizontal direction, or about 44º South of West.