건축 Architecture

The force applied by object collided on the floor.

작성자 Uploader : prove 작성일 Upload Date: 2017-11-29변경일 Update Date: 2017-11-29조회수 View : 226

When a object collide on the floor in elastic collsion condition, the average force applied by object to the floor can be calculated as follows. Refer to figure.

■ Basic condition
- Mass of the object: m (kg)
- Speed of the object: V1 (m / s)
- Angle to the floor: θ (deg)
- Elapse time of collision: t (sec)

▷ Change of momentum: ΔP = m * ΔV
- Since only the velocity in the y direction has changed,
 ΔV = |-V1y-V2y|
 V1y = V1*sin(θ) = -V2y
 ΔV = 2*V1*sin(θ)
 ∴ ΔP = 2*m*V1*sin(θ)

▷ The force applied by the object to the floor
  F = ΔP / t = 2*m*V1*sin(θ) / t

*** 참고문헌[References] ***

F = 2*m*V1*sin(θ) / t
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