Answer:
An apple hanging at a branch has potential energy due its position. It can be written as PE= mgh where m is the mass of the apple h is the distance between the apple and the ground and g is the acceleration due to gravity.
as the apple falls from the tree it loses its potential energy and gains kinetic energy due to the movement of the apple. Its kinetic energy will be given by KE= 1/2mv²  where m is the mass of the apple and v is the speed with which the apple falls. 
As the apple falls the height or the distance reduces and PE becomes reduces. But it gains Kinetic energy due to its speed.
But when the apple falls to the ground and comes to rest its kinetic energy is converted to potential energy. 
thus the total energy remains the same. it changes from one form to the other but remains unaltered. 
 
        
             
        
        
        
Answer:
 a_total = 2 √ (α² + w⁴)
,   a_total = 2,236 m
Explanation:
The total acceleration of a body, if we use the Pythagorean theorem is
           a_total² = a_T²2 +  ²
²
where
the centripetal acceleration is
   a_{c} = v² / r = w r²
tangential acceleration
    a_T = dv / dt
angular and linear acceleration are related
          a_T = α  r
we substitute in the first equation
        a_total = √ [(α r)² + (w r² )²]
        a_total = 2 √ (α² + w⁴)
Let's find the angular velocity for t = 2 s if we start from rest wo = 0
         w = w₀ + α t
         w = 0 + 1.0 2
         w = 2.0rad / s
        
we substitute
         a_total = r √(1² + 2²) = r √5
         a_total = r 2,236
In order to finish the calculation we need the radius to point A, suppose that this point is at a distance of r = 1 m
          a_total = 2,236 m
 
        
             
        
        
        
Answer: 3.75 joules
Explanation:
Given that:
Mass of acorn = 0.300 kilograms 
velocity = 5.oo m/s
Kinetic energy = ?
Since, kinetic energy is the energy possessed by a moving object, its value depends on the mass M and velocity V of the acorn. 
Thus, Kinetic energy = 1/2 x mv^2
= 1/2 x 0.300kg x (5.00m/s)^2
= 0.5 x 0.3kg x (5.00m/s)^2
= 0.15 x (5.00m/s)^2
= 3.75 joules
Thus, the kinetic energy of the falling acorn is 3.75 joules
 
        
             
        
        
        
Answer:
C
Explanation:
 becauase i just tooke the test