Julianne’s displacement from her origin is equal to 10.015 kilometers.
<u>Given the following data:</u>
- Distance B = 8.5 km, Northeast.
To calculate Julianne’s displacement from her origin:
<h3>How to calculate displacement.</h3>
We would denote the two (2) unit vectors along the East and Northeast directions by i and j respectively.
<u>Note:</u> Northeast is at angle of 45° with the East.
In terms of vectors, the distances becomes:
Distance A = 2i
![Distance\;B=8.5 [(cos 45i + sin 45j)]\\\\Distance\;B=(\frac{8.5}{\sqrt{2} } i \;+\;\frac{8.5}{\sqrt{2} } j)](https://tex.z-dn.net/?f=Distance%5C%3BB%3D8.5%20%5B%28cos%2045i%20%2B%20sin%2045j%29%5D%5C%5C%5C%5CDistance%5C%3BB%3D%28%5Cfrac%7B8.5%7D%7B%5Csqrt%7B2%7D%20%7D%20i%20%5C%3B%2B%5C%3B%5Cfrac%7B8.5%7D%7B%5Csqrt%7B2%7D%20%7D%20j%29)
<u>For the </u><u>resultant displacement</u><u>:</u>
D = 10.015 kilometers.
Read more on displacement here: brainly.com/question/13416288
Answer:
66.4 m
Explanation:
To solve the problem, we can use the length contraction formula, which states that the length observed in the reference frame moving with the object (the rocket) is given by
where
is the proper length (the length measured from an observer at rest)
v is the speed of the object (the rocket)
c is the speed of light
Here we know
v = 0.85c
L = 35.0 m
So we can re-arrange the equation to find the length of the rocket at rest:
Answer:
(a) 2.5 m/s
(b) 37.5 KJ
Explanation:
(a)
From the law of conservation of momentum, Initial momentum=Final momentum
and making 
the subject then
and since 
is initial velocity of car, value given as 4 m/s, 
is the initial velocity of the three cars stuck together, value given as 2 m/s and 
is the final velocity which is unknown. By substitution
(b)
Initial kinetic energy is given by
Final kinetic energy is given by
The energy lost is given by subtracting the final kinetic energy from the initial kinetic energy hence
Energy lost=350-312.5=37.5 KJ
His model was also called the Planetary model
