The climber move 0.19 m/s faster than surfer on the nearby beach.
Since both the person are on the earth, and moves with the constant angular velocity of earth, however there linear velocity is different.
Number of seconds in a day, t=24*60*60=86400 sec
The linear speed on the beach is calculated as
V1=
Here, t is the time
Plugging the values in the above equation
V1=
=465.421 m/s
Velocity on the mountain is calculated as
V2=
Plugging the values in the above equation
V2=
=465.61 m/s
Therefore person on the mountain moves faster than the person on the beach by 465.61-465.421=0.19 m/s
Answer:

Explanation:
The density of an object is given by

where
m is the mass of the object
V is its volume
In this problem,
m = 42 kg
V = 22 m^3
Substituting into the equation, we find the object's density:

We will have the following:
First, the equation to use is the following:

Now, we transform the total distance the cat would need to travel:

So, the cat would need to travel 1.5 meters. ("d" in the equation).
Now, using the speed given we determine the time it would take the cat to traverse the 1.5 meters:

So, the time it would take the cat to traverse the distance will be approximately 3.33 seconds.
Now, we know that the acceleration will be given by Earth's gravity, so:


So, the initial vvelocity the cat must leave the floor in order to arrive at the butterfly with the optimum pouncing speed of 0.45 m/s is approximately 16.78 m/s or exactly 1007/60 m/s.
The thermal energy keeps these two changing their temperature over time.
The surrounding temperature (environment) clearly effects the cold water AND the boiling water.
Eventually, both would reach an equilibrium in temperature. <span />
Answers:
a) 9.035 s
b) -88.543 m/s
Explanation:
The described situation is related to vertical motion (especifically free fall) and the equations that will be useful are:
(1)
(2)
Where:
is the final height of the steel ball
is the initial height of the steel ball
is the initial velocity of the steel ball (it was dropped)
is the final velocity of the steel ball
is the time it takes to the steel ball to reach the ground
is the acceleration due to gravity
<u>Knowing this, let's begin with the answers:</u>
<h2>a) Time it takes the steel ball to reach the ground</h2>
We will use equation (1) with the conditions listed above:
(3)
Isolating
:
(4)
(5)
(6)
<h2>b) Final velocity of the steel ball</h2>
We will use equation (2) with the conditions explained above and the calculaated time:
(7)
(8)
(9) The negative sign indicates the direction of the velocity is downwards