I do not agree with her. The theory of planetary motion was a group effort between Johannes Kepler and Sir Isaac Newton. I don't feel as if Tycho Brahe had much to do with it seeing as it was really Kepler who figured it all out.
(this is my own answer which worked)
Answer:
24.348mm
Explanation:
NB: I'll be attaching pictures so as to depict missing mathematical expressions or special characters which are not easily found on keyboards
K = d / €^n
Note : d represents the greek alphabet epsilion.
K = 345 / 0.02⁰.²² = 816mPa
The true strain based upon the stress of 414mPa =
€= (€/k)^1/n = (414/816)¹/⁰.²² = 0.04576
However the true relationship between true strain and length is given by
€ = ln(Li/Lo)
Making Li the subject of formula by rearranging,
Li = Lo.e^€
Li = 520e⁰.⁰⁴⁵⁷⁶
Li = 544.348mm
The amount of elongation can be calculated from
Change in L = Li - Lo = 544.348 - 520 change in L = 24.348mm.
Answer:
2.98 second
Explanation:
The severity index is defined by :

a is dimensionless constant that equals the number of multiples of g
Conditions are given as :
Initial velocity, u = 0
Acceleration, a = 34 m/s²
Final velocity, v = 16.4 km/h = 4.56 m/s
We can find t from the above data as follows :

As a is the acceleration that is multiple of g.
So,

So,
Severity index,

Hence, the severity index for the collision is 2.98 seconds.
B.
The child is too old to be gaining something from the screen time.
Answer:
t = 6,485 s
, t_step = 25.94 s
the elephant gives 2.3 step very minute
Explanation:
Let's approximate this system to a simple pendulum that has angular velocity
w = √L / g
Angular velocity and period are related
w = 2π / T
T = 2π √g / L
Let's find the period
T = 2π √9.8 / 2.3
T = 12.97 s
Stride time is
t = T / 2
t = 12.97 / 2
t = 6,485 s
Frequency is inversely proportional to period
f = 1 / t
f = 1 / 6,485
f = 0.15 Hz
Since the elephant has 4 legs and each uses a time t, the total time for one step is
t_step = 4 t
t_step = 4 6.485
t_step = 25.94 s
f_step = 1/t_step =0.0385 s-1
Now let's use a proportion rule to find the number of steps in 60 s
#_step = 60 / t_step
#__step = 60 / 25.94
#_step = 2.3 steps
So the elephant gives 2.3 step very minute