ya..... mungkin sebagian besar ilmuwan akan mempunyai ide itu adalah konsep energi potensial yang bisa menyebabkan energi kinetik.
Laluuuuu......
Apa yang bisa anda lakukan???
oke .... ini berdasarkan Penilaian penulis.....(Karena setiap penilaian orang terhadap suatu obyek berbeda beda)
Langsung saja >>>>
1.Lintasan menurun merupakan jalan yang memiliki suatu ketinggian, tentunya sebagai sumber energi potensial gravitasi.
2. Ketika ada sebuah kendaraan yang berjalan dengan kecepatan awal sebesar V pada lintasan menurun maka kendaraan tersebut akan mengalami peningkatan kecepatan atau mengalami peningkatan energi kinetik akibat adanya energi potensial gravitasi.
Lebih jelasnya kita bisa melihat perhitungan energi kinetik dari mas Bro Steven Holzner
Calculating Rotational Kinetic Energy on a
Ramp
In physics, objects can have both linear and rotational kinetic
energy. This can occur when an object rolls down a ramp instead of sliding, as
some of its gravitational potential energy goes into its linear kinetic energy,
and some of it goes into its rotational kinetic energy.
A solid cylinder and a
hollow cylinder ready to race down a ramp.
Look at the preceding figure, where you’re pitting a solid
cylinder against a hollow cylinder in a race down the ramp. Each object has the
same mass. Which cylinder is going to win? In other words, which cylinder will
have the higher speed at the bottom of the ramp? When looking only at linear
motion, you can handle a problem like this by setting the potential energy
equal to the final kinetic energy (assuming no friction!) like this:
where m is the mass of the object, g is the acceleration due to gravity, and h is the height at the top of the ramp. This equation would let
you solve for the final speed. Since the mass, m, cancels out from both sides
of the equation, the final speed for linear motion without rotation is
independent of mass.
But the cylinders are rolling in this case, which means that the
initial gravitational potential energy becomes both linear kinetic energy
and rotational kinetic energy. You can now write the equation as
You want to solve for v, so try grouping things
together. You can factor (1/2)v2 out of the two terms on the right:
Isolating v, you get the following:
For the hollow cylinder, the moment of inertia equals mr2. For a solid
cylinder, on the other hand, the moment of inertia equals (1/2)mr2.
Substituting for I for the hollow cylinder gives you the hollow
cylinder’s final velocity:
Substituting for I for the solid cylinder gives you the solid
cylinder’s velocity:
Now the answer becomes clear.
1.15 times as fast, so the solid cylinder will win.
The hollow cylinder has as much mass concentrated at a large
radius as the solid cylinder has distributed from the center all the way out to
that radius, so this answer makes sense. With that large mass way out at the
edge, the hollow cylinder doesn’t need to go as fast to have as much rotational
kinetic energy as the solid cylinder. In fact, since the moment of inertia, I,
always depends on the mass of the object, the mass term cancels out from top
and bottom of our expression above for the final velocity of the object after
it has rolled down the ramp. This means that the final velocity does not depend
upon the mass at all, but only upon how that mass is distributed around the
rotational axis. For all shapes that roll, can you guess which one would always
win in a race where they roll down a ramp?
Suppose that a car traveled up
three different roadways (each with varying incline angle or slope) from the
base of a mountain to the summit of the mountain. Which path would require the
most gasoline (or energy)? Would the steepest path (path AD) require the most
gasoline or would the least steep path (path BD) require the most gasoline? Or
would each path require the same amount of gasoline?
Observe in the animation that
each path up to the seat top (representing the summit of the mountain) requires
the same amount of work. The amount of work done by a force on any object is
given by the equation
Work =
F * d * cosine(Theta)
where F is the force, d is the displacement and Theta is the angle between the force and the displacement vector.
The least steep incline
(30-degree incline angle) will require the least amount of force while the most
steep incline will require the greatest amount of force. Yet, force is not the only variable affecting the amount
of work done by the car in ascending to a certain elevation. Another variable
is the displacement which is caused by this force. A look at the animation above
reveals that the least steep incline would correspond to the largest
displacement and the most steep incline would correspond to the smallest
displacement. The final variable is Theta - the angle between the force and the
displacement vector. Theta is 0-degrees in each situation. That is, the force
is in the same direction as the displacement and thus makes a 0-degree angle
with the displacement vector. So when the force is greatest (steep incline) the
displacement is smallest and when the force is smallest (least steep incline)
the displacement is largest. Subsequently, each path happens to require the
same amount of work to elevate the object from the base to the same summit
elevation.
Another perspective from which
to analyze this situation is from the perspective of potential and kinetic
energy and work. The work done by an external force (in this case, the force
applied to the cart) changes the total mechanical energy of the object. In
fact, the amount of work done by the applied force is equal to the total
mechanical energy change of the object. The mechanical energy of the cart takes
on two forms - kinetic energy and potential energy. In this situation, the cart
was pulled at a constant speed from a low height to a high height. Since the
speed was constant, the kinetic energy of the cart was not changed. Only the
potential energy of the cart was changed. In each instance (30-degree,
45-degree, and 60-degree incline), the potential energy change of the cart was
the same. The same cart was elevated from the same initial height to the same
final height. If the potential energy change of each cart is the same, then the
total mechanical energy change is the same for each cart. Finally, it can be
reasoned that the work done on the cart must be the same for each path.