Hello!
a) Assuming this is asking for the minimum speed for the rock to make the full circle, we must find the minimum speed necessary for the rock to continue moving in a circular path when it's at the top of the circle. 
At the top of the circle, we have: 
- Force of gravity (downward) 
*Although the rock is still connected to the string, if the rock is swinging at the minimum speed required, there will be no tension in the string.
Therefore, only the force of gravity produces the net centripetal force: 

We can simplify and rearrange the equation to solve for 'v'. 

Plugging in values: 

b) 
Let's do a summation of forces at the bottom of the swing. We have:
- Force due to gravity (downward, -) 
- Tension force (upward, +)
The sum of these forces produces a centripetal force, upward (+). 

Rearranging for 'T":

Plugging in the appropriate values:

 
        
                    
             
        
        
        
Answer:
Explanation: relationship between the object and the observer's frame of reference. 
 
        
             
        
        
        
Answer: Double-decker buses have heavy weights attached to their undersides. b The crane has a heavy concrete block attached to one end of its arm, ant others placed around its base.
 
        
             
        
        
        
Answer:
F = 85.24 N
T = 30.84 N
Explanation:
The parameters given are
Mass of crates = m₁ = 3 kg and m₂ = 5 kg
Component of masses acting along the plane = mgsin(θ) 
Which gives;
F - (3×9.81×sin(30) + 10 + 5×9.81×sin(30) + 17) = m×a
So that we have;
2 = (F - 66.24)(3 + 5) 
F = 16 + 66.24 = 85.24 N
The tension T between the crates = F × m₁/(m₁+m₂) = 85.24 × 3/(3+5) = 30.84 N
 
        
             
        
        
        
Answer:
A.
Explanation:
A man using a microwave to boil water