A 1200 kg frictionless roller coaster starts from rest at a height of 19 m. What is its kinetic energy when it goes over hill th
1 answer:
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<h2>Answer: 26,8 s</h2>
Explanation:
If we are talking about an acceleration at a constant rate , we are dealing with constant acceleration, hence we can use the following equations:
(1)
(2)
Where:
is the final velocity of the plane (the takeoff velocity in this case)
is the initial velocity of the plane (we know it is zero because it starts from rest)
is the constant acceleration of the plane to reach the takeoff velocity
is the distance of the runway
is the time
Knowing this, let's begin with (1):
(3)
(4)
(5)
Substituting (5) in (2):
(6)
Finding :
This is the time needed to take off
Answer: the force increases as the angle increases
Explanation:
If we assume the incline plane is frictionless, the only force acting on an object on the incline plane is the force of gravity:
where m is the mass and g the acceleration due to gravity.
However, the actual force that makes the object sliding down along the incline is not the gravity itself, but the component of the force of gravity parallel to the surface of the incline, which is given by
where is the angle of the incline.
Therefore, we see that as the angle of the incline increases, the force on the object increases.