In graphing enthalpy entropy and state changes the two
variables that are included are amount of heat added and pressure. The answer
is letter D. The rest of the choices do not answer the question above.
As Rene Descartes - french mathematician of Cartesian graphs - said "Cogito ergo sum". I think, therefore I am.
This can be adapted to I think therefore I am, I think ... as a "geeky joke".
Answer:
y = 12.82 m
Explanation:
We can solve this exercise using the energy work theorem
W = ΔEm
friction force work is
W = fr . s = fr s cos θ
the friction force opposes the movement, therefore the angle is 180º
W = - fr s
we write Newton's second law, where we use a reference frame with one axis parallel to the plane and the other perpendicular
N -Wy = 0
N = mg cos θ
the friction force remains
fr = μ N
fr = μ mg cos θ
work gives
W = - μ mg s cos θ
initial energy
Em₀ = ½ m v²
the final energy is zero, because it stops
we substitute
- μ m g s cos θ = 0 - ½ m v²
s = ½ v² / (μ g cos θ)
let's calculate
s = ½ 20² / (0.55 9.8 cos 20)
s = 39.49 m
this is the distance it travels along the plane, to find the vertical distance let's use trigonometry
sin 20 = y / s
y = s sin 20
y = 37.49 sin 20
y = 12.82 m
Answer:
In a collision, the velocity change is always computed by subtracting the initial velocity value from the final velocity value. If an object is moving in one direction before a collision and rebounds or somehow changes direction, then its velocity after the collision has the opposite direction as before.
Answer:
The angular velocity is 
Explanation:
From the question we are told that
The mass of each astronauts is 
The initial distance between the two astronauts 
Generally the radius is mathematically represented as 
The initial angular velocity is 
The distance between the two astronauts after the rope is pulled is 
Generally the radius is mathematically represented as 
Generally from the law of angular momentum conservation we have that
Here 
is the initial moment of inertia of the first astronauts which is equal to 
the initial moment of inertia of the second astronauts So
Also 
is the initial angular velocity of the first astronauts which is equal to 
the initial angular velocity of the second astronauts So
Here 
is the final moment of inertia of the first astronauts which is equal to 
the final moment of inertia of the second astronauts So
Also 
is the final angular velocity of the first astronauts which is equal to 
the final angular velocity of the second astronauts So
So
=> 
=> 
=> 
=>
