Answer:
potential energy is the ability to do work
Water gets to the leaves in the tops of the tallest trees by something called the cohesion-tension theory. Water has two very unique properties called adhesion and cohesion. Cohesion is the tendency of water molecules to stick together with one another. The water sticks together, leaving no room for air, strengthening the "force" of the water going up the tree. The water also sticks to the sides of the xylem inside the tree. In addition to these properties, there are also the factors of negative and positive water potential. For more information, look up more details of the cohesion-tension theory.
The statement shows a case of rotational motion, in which the disc <em>decelerates</em> at <em>constant</em> rate.
i) The angular acceleration of the disc (
), in revolutions per square second, is found by the following kinematic formula:
(1)
Where:
- Initial angular speed, in revolutions per second.
- Final angular speed, in revolutions per second.
- Time, in seconds.
If we know that
,
y
, then the angular acceleration of the disc is:


The angular acceleration of the disc is
radians per square second.
ii) The number of rotations that the disk makes before it stops (
), in revolutions, is determined by the following formula:
(2)
If we know that
,
y
, then the number of rotations done by the disc is:

The disc makes 3.125 revolutions before it stops.
We kindly invite to check this question on rotational motion: brainly.com/question/23933120
Answer:
t=2.10 s
u= 47.40 m/s
Explanation:
given that
h= 21.8 m
x= 101 m
g=9.8 m/s²
Lets take horizontal speed of ball = u m/s
The vertical speed of the car at initial condition is zero ( v= 0).
We know that

v= 0 m/s

now by putting the values
21.8 = 1/2 x 9.8 x t²
t=2.10 s
This is time when ball was in motion.
Now in horizontal direction
x = u .t
101 = u x 2.1
u= 47.40 m/s
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
The effect of a change in the price of a new pair of headphones on the equilibrium price of replacement tips ( dp/dpN) is

b
The value of Q and p at equilibruim is
and
5
The consumer surplus is 
The producer surplus is 
Explanation:
From the question we are told that
The inverse market demand is 
The inverse supply function is 
a
The effect of change in the price is mathematically given as

Now differntiating the inverse market demand function with respect to 
We get that

b
We are told that
$30
Therefore the inverse market demand becomes

At equilibrium

So we have

Where
is the quantity at equilibrium



Substituting the value of Q into the equation for the inverse market demand function

5
Looking at the equation for
we see that
For Q = 0


And for Q = 250


Hence the consumer surplus is mathematically evaluated as

Substituting value


And
The producer surplus is mathematically evaluated as

