Answer:
1. v = 6.67 m/s
2. d = 9.54 m
Explanation:
1. To find the horizontal velocity of the rock we need to use the following equation:
 
    
<u>Where</u>:
d: is the distance traveled by the rock
t: is the time
The time can be calculated as follows:
 
 
<u>Where:</u>
g: is gravity = 9.8 m/s²
 
 
Now, the horizontal velocity of the rock is:
 
       
Hence, the initial velocity required to barely reach the edge of the shell below you is 6.67 m/s.            
2. To calculate the distance at which the projectile will land, first, we need to find the time:

So, the distance is:
 
     
Therefore, the projectile will land at 9.54 m of the second cliff.
I hope it helps you!         
 
        
             
        
        
        
Answer:
Explained
Explanation:
following are characteristics of scientific thinking and investigating
1. Critical thinking
2. A curious mind
3. Possessing a Skeptical attitude
4. Problem solving attitude
5.A obervant of empirical evidences
A scientific theory is a unifying and self-consistent explanation of fundamental natural processes or phenomena that is totally constructed of corroborated hypotheses
 
        
             
        
        
        
Answer:
R = 710.7N
L = 67.689 N
During gravity fall L = R = 0 N
Explanation:
So the acceleration that the elevator is acting on the woman (and the package) in order to result in a net acceleration of 0.15g is
g + 0.15g = 1.15g
The force R that the elevator exerts on her feet would be product of acceleration and total mass (Newton's 2nd law):
a(m + M) = 1.15g(57 + 6) = 1.15*9.81*63 = 710.7N
The force L that she exerts on the package would be:
am = 1.15g *6 = 1.15*9.81*6 = 67.689N
When the system is falling, all have a net acceleration of g. So the acceleration that the elevator exerts on the woman (and the package) is 0, and so are the forces L and R.
 
        
             
        
        
        
Answer:
3.1 m/s
Explanation:
First, find the time it takes for the cat to land.  Take down to be positive.
Given:
Δy = 0.61 m
v₀ = 0 m/s
a = 9.81 m/s²
Find: t
Δy = v₀ t + ½ at²
(0.61 m) = (0 m/s) t + ½ (9.81 m/s²) t²
t = 0.353 s
Now find the horizontal velocity needed to travel 1.1 m in that time.
Given:
Δx = 1.1 m
a = 0 m/s²
t = 0.353 s
Find: v₀ 
Δx = v₀ t + ½ at²
(1.1 m) = v₀ (0.353 s) + ½ (0 m/s²) (0.353 s)²
v₀ = 3.1 m/s
 
        
             
        
        
        
Given that the rope is not moving (acceleration is zero), by the second Law of Newton (F=m*a), the net force acting on the rope is zero.
Then, the force applied by the team B equals the force applied by the tema A: 103 N.