Hello there.
<span>0 + ½ m v(i)² - µ m g d = 0 + 0 </span>
The book has potential energy and the bike has kinetic.
kinetic energy is energy possessed when a object is in motion. The bike is moving. Therefore, it has kinetic energy. The book isn't moving. Hopefully that helped
Answer:
The difference between Newtonian and Lagrangian mechanics is summarized below:
In Newtonian mechanics the fundamental thing of conceren is force that acts on a object. According to newton's laws of motion when a force acts on a body it produces acceleration and the acceleration is then related to velocity and position of the object. The basic equation of Newtonian mechanics are
where
'F' is the vector sum of all the forces that act on the object.
'a' is the acceleration that is produced in the body as a result of the forces.
The acceleration is related to the position of the body as
Thus we can know the position of any object if we know the acceleration of the object and the boundary condition of the object.
However in Lagrangian mechanics the basic parameter upon which the motion of the object is defined is the a mathematical definition of position and change in position, thus an object can take an arbitrary path while travelling between 2 positions but only that path is physically possible in which the change in potential energy is minimum or takes least amount of work to be done this is known as principle of least work.
Mathematically
and we try to minimize the work that needs to be done thus giving us the path taken by the particle.
The equations of motions can be derived from this basic premise of Lagrangian mechanics.
Answer:
0.89534 kgm²
Explanation:
= Final angular velocity = 12.9 rad/s
= Initial angular velocity = 5.5 rad/s
= Initial moment of inertia = 2.1 kgm²
= Final moment of inertia
As there is no external torque the angular momentum is conserved
The final moment of inertia is 0.89534 kgm²
Answer:
Explanation:
The package had the same velocity as the plane when it was dropped. Newton's 1st Law says that "an object in motion tends to stay in motion, at the same velocity, in a straight line unless acted on by an outside force".
There only outside force acting on the package was its weight -- that force is straight down. The horizontal velocity that the plane gave the package continued (as Newton said it would), so as it fell, horizontally it kept pace with the plane.