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Velocities of objects when a moving object collides to a stationary object

작성자 Uploader : atom 작성일 Upload Date: 2018-08-29변경일 Update Date: 2018-08-29조회수 View : 328

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Assuming as shown in figure that a moving object A, having its mass and velocity of m and V, collides to a stationary object B, having its mass of M, and that after collision these objects moves at angles α and β with respect to the moving direction before collision,
the velocity of each object can be calculated as follows:

By momentum conservation, momentums before and after collision are equal.

The momentum in the direction before collision is:

m*V = m*VA*cos(α) + M*VB*cos(β)

Meanwhile, the momentum perpendicular to the direction before collision is zero:

0 = m*VA*sin(α) - M*VB*sin(β)

Combining the above two equations,

VB = m*VA*sin(α) / (M*sin(β))

m*V = m*VA*cos(α) + m*VA*sin(α)*cos(β)/sin(β)

VA = V / (cos(α)+sin(α)*cos(β)/sin(β))

▶ Input data
- m : mass of A (kg), V : velocity of A (m/s), M : mass of B (kg)
- α, β : angle (deg)

■ VA

■ VB

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현재 위치

Velocities of objects when a moving object collides to a stationary object

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