Answer:
Explanation:
We shall first calculate the velocity at height h = 575 m .
acceleration a = 2.2 m /s²
v² = u² + 2 a s 
u is initial velocity , v is final velocity , s is height achieved 
v² = 0 + 2 x 2.2 x 575 
v = 50.3 m /s 
After 575 m , rocket moves under free fall so g will act on it downwards 
If it travels further by height H 
from the relation 
v² = u² - 2 g H 
v = 0 , u = 50.3 m /s 
H = ?
0 = 50.3² - 2 x 9.8 H 
H = 129.08 m 
Total height attained by rocket 
= 575 + 129.08 
= 704.08 m .
 
        
             
        
        
        
Answer:
Explanation:
Force on a moving charge is given by the following relation
F = q ( v x B )
for proton 
q = e  ,   v = vi  , B = Bk 
F = e ( vi x Bk )
= Bev - j 
= - Bevj 
The direction of force is along negative of y axis or -y - axis. 
for electron 
q = - e  ,   v = vi  , B = Bk 
F = - e ( vi x Bk )
= - Bev - j 
=  Bevj 
The direction of force is along positive  of y axis or + y - axis. 
 
        
             
        
        
        
Answer:
The smallest diameter is 
Explanation:
From the question we are told that 
        The resolution of the telescope is 
            The wavelength is  
From the question we are told that 
         
So      
Therefore 
              
               
Now  
    So  
   =>    
            
The smallest diameter is mathematically represented  as
           
substituting values 
            
            
    
 
        
             
        
        
        
Answer:

Explanation:
Given that

From the diagram

By differentiating with time t

When x= 10 m

θ = 64.53°
Now by putting the value in equation



Therefore rate of change in the angle is 0.038\ rad/s
 
        
             
        
        
        
a) 32 kg m/s
Assuming the spring is initially at rest, the total momentum of the system before the collision is given only by the momentum of the bowling ball:

The ball bounces off at the same speed had before, but the new velocity has a negative sign (since the direction is opposite to the initial direction). So, the new momentum of the ball is:

The final momentum after the collision is the sum of the momenta of the ball and off the spring:

where  is the momentum of the spring. For the conservation of momentum,
 is the momentum of the spring. For the conservation of momentum,

b) -32 kg m/s
The change in momentum of bowling ball is given by the difference between its final momentum and initial momentum:

c) 64 N
The change in momentum is equal to the product between the average force and the time of the interaction:

Since we know  , we can find the magnitude of the force:
, we can find the magnitude of the force:

The negative sign simply means that the direction of the force is opposite to the initial direction of the ball.
d) The force calculated in the previous step (64 N) is larger than the force of 32 N.