Answer:
Explanation:
Given the absence of non-conservative force, the motion of the coin is modelled after the Principle of Energy Conservation solely.
The moment of inertia of the coin is:
After some algebraic handling, an expression for the maximum vertical height is derived:
Answer:
U = 1000 J
Explanation:
By the conservation of energy, potential energy is converted into kinetic energy when the ball falls from a height.
U = Energy (in Joules)
m = mass (in kg)
v = velocity in (m/s)
g = acceleration due to gravity (in m/s^2)
h = height (in m)
Let's use as we have the values given.
Answer:
Explanation:
Given that,
Initial velocity, u = 10 m/s
Final velocity, v = 0 (stops)
Time, t = 30 s
We need to find the acceleration of the lion.
We know that,
Acceleration = rate of change of velocity
So, the acceleration of the lion is .
The <em>estimated</em> displacement of the center of mass of the olive is .
In this question we should apply the definition of center of mass and difference between the coordinates for <em>dynamic</em> () and <em>static</em> conditions (
) to estimate the displacement of the center of mass of the olive (
):
(1)
Where:
If we know that ,
,
,
,
,
and
, then the displacement of the center of mass of the olive is:
The <em>estimated</em> displacement of the center of mass of the olive is .
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