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where a, v, and r denote the acceleration, velocity, and position of the ball, and v 0 and r 0 are the initial velocity and position of the ball, respectively. More specifically, if the ball is bounced at an angle θ with the ground, the motion in the x - and y -axes (representing horizontal and vertical motion, respectively) is described by [ 6 ]
The COR is a property of a pair of objects in a collision, not a single object. If a given object collides with two different objects, each collision has its own COR. When a single object is described as having a given coefficient of restitution, as if it were an intrinsic property without reference to a second object, some assumptions have been made – for example that the collision is with ...
The final x and y velocities components of the first ball can be calculated as: [5] ′ = () + + + (+) ′ = () + + + (+), where v 1 and v 2 are the scalar sizes of the two original speeds of the objects, m 1 and m 2 are their masses, θ 1 and θ 2 are their movement angles, that is, = , = (meaning ...
A bouncing ball captured with a stroboscopic flash at 25 images per second. Each impact of the ball is inelastic, meaning that energy dissipates at each bounce. Ignoring air resistance, the square root of the ratio of the height of one bounce to that of the preceding bounce gives the coefficient of restitution for the ball/surface impact.
Deflection is a change in a moving object's velocity, hence its trajectory, as a consequence of contact with a surface or the influence of a non-contact force field. Examples of the former include a ball bouncing off the ground or a bat; examples of the latter include a beam of electrons used to produce a picture , or the relativistic bending ...
Collision is short-duration interaction between two bodies or more than two bodies simultaneously causing change in motion of bodies involved due to internal forces acted between them during this. Collisions involve forces (there is a change in velocity). The magnitude of the velocity difference just before impact is called the closing speed.
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Of the initial velocity, 13% is imparted to the fourth ball (which can be seen as a 3.3-degree movement if the fifth ball moves out 25 degrees) and there is a slight reverse velocity in the first three balls, the first ball having the largest at −7% of the initial velocity. This separates the balls, but they come back together just before as ...