Answer:
The distance between the lighthouse and the ship
from the start position A = 5.08 miles
from the Final point B = 7.23 miles
Explanation:
Note: Refer the figure
Let the position of the lighthouse be 'L'
Given:
When the ship is at the position A, ∠DAL=37°
Now, when the ship sails through a distance of 2.5 i.e at position B
mathematically,
AB=2.5 miles
∠ABL=25°
Now,
∠DAL + ∠LAB = 180°
or
37° + ∠LAB = 180°
or
∠LAB = 180° - 37° = 143°
Also, In ΔLAB
∠LAB + ∠ABL + ∠ALB = 180°
or
143° + 25° + ∠ALB = 180°
or
∠ALB = 180° - 143° - 25° = 12°
Now using the concept of the sin law
In ΔLAB

or
AL = 5.08 miles
and,

or
BL = 7.23 miles
hence,
The distance between the lighthouse and the ship
from the start position A = 5.08 miles
from the Final point B = 7.23 miles
Answer:
957.4845 m
Explanation:
t = Time taken
u = Initial velocity
v = Final velocity
s = Displacement
a = Acceleration


Time taken by the thunderbird to stop is 6.993 seconds
Time the thunderbird was at the pit is 5 seconds


Time taken to accelerate back to 71.5 m/s is 9.79 seconds
Total time to this point is 6.993+5+9.79 = 21.783 seconds
The Mercedes Benz is moving at a constant velocity hence it has no acceleration and we use the formula
Distance = Speed × Time
⇒Distance = 71.5 × 21.783 = 1557.4845 m
The thunderbird has covered 250+350 = 600 m
So, the distance between them is 1557.4845-600 = 957.4845 m
The rest energy of the proton will be 938 MeV. The rest energy is related to the rest mass of the proton.
<h3>What is rest energy?</h3>
The rest energy is the rest mass times the square of the speed of light of a particle at rest in an inertial frame of reference.
The rest energy is found as;

Convert into the mega electron volt;

Hence, the rest energy of the proton will be 938 MeV
To learn more about the rest energy, refer to the link;
brainly.com/question/15047418
#SPJ4
Answer:
V = 6.81
Explanation:
Data:
k = 200 N/m
mass = 2.0 kg
x = 4.0 cm => 0.04m
There will only be vertical force, using 2nd Newton's law:
Fe - P = -m
the minus sign we use to indicate that the object is going down
Using the Hooke's law:
Fe = k*x where x is the spring compression
k*x - m*g = m
= 
= 
= 5.8

Vo = o
Xo = 0m


V = 6.81