Answer:
a) 
b) 
c) 
Explanation:
From the question we are told that
Distance to Betelgeuse 
Mass of Rocket 
Total Time in years traveled 
 Total energy used by the United States in the year 2000 
Generally the equation of speed of rocket v mathematically given by


where 




Therefore


b)
Generally the equation of the energy E required to attain prior speed mathematically given by


c)Generally the equation of the energy 
 required to accelerate the rocket mathematically given by



 
        
             
        
        
        
To solve this problem we will apply the concepts related to energy conservation. From this conservation we will find the magnitude of the amplitude. Later for the second part, we will need to find the period, from which it will be possible to obtain the speed of the body.
A) Conservation of Energy,


Here,
m = Mass
v = Velocity
k = Spring constant
A = Amplitude 
Rearranging to find the Amplitude we have,

Replacing, 


(B) For this part we will begin by applying the concept of Period, this in order to find the speed defined in the mass-spring systems.
The Period is defined as

Replacing, 


Now the velocity is described as,


We have all the values, then replacing,


 
        
             
        
        
        
Show us the pictures I don't see it
        
             
        
        
        
Answer:
304.86 metres
Explanation:
The x and y cordinates are 
 and 
 respectively
The horizontal distance travelled, 
Making t the subject, 
Since 
, we substitute t with the above and obtain

Making d the subject we obtain


d=304.8584
d=304.86m
 
        
             
        
        
        
Answer:
The magnitude of electric force is  
Explanation:
Coulomb's Law:
The force of attraction or repletion is 
- directly proportional to the products of charges i.e 

 
- inversely proportional to the square of distance i.e 

 

    [ k is proportional constant=9×10⁹N m²/C²]
 There are two types of force applied on Q=+2.5 μC=2.5×10⁻⁶ C
Let F₁ force be applied on Q =+2.5 μC by q₁= -5.0 μC = - 5.0×10⁻⁶ C
and F₂ force  be applied on Q=+2.5 μC by q₂= 5.0 μC= 5.0×10⁻⁶ C
Since the magnitude of F₁ and F₂ are same. Therefore their y component cancel.
If we draw a line from q₁ to Q .
The it forms a triangle whose base = 4.0 cm and altitude =3.0 cm.
Let hypotenuse = r
Therefore, 
we know,


Total force 
                          
                          
                          
     [ r=5]
                          
   N
The magnitude of electric force is  