A body moving with velocity V can be stopped by a force F in direction of it. The same body moving with velocity 5 V can be stopped by a force 5F in distance equal to:
NUMS Mock 4
Physics
Forces and Motion
Elimination Tool:
Energy or work done = F x d
Moreover, Energy = ½ mv²
Thus, combining them: F x d = ½ mv²
d = mv²/ 2F
Given the constants m and ½, d ∝ v²/F
d=v²/F
When force is 5F and velocity is 5v, then d:
d’=(5v)²/(5F)
d’=25v²/5F=5v²/F
contrasting these two: d’=5d
Energy or work done = F x d
Moreover, Energy = ½ mv²
Thus, combining them: F x d = ½ mv²
d = mv²/ 2F
Given the constants m and ½, d ∝ v²/F
d=v²/F
When force is 5F and velocity is 5v, then d:
d’=(5v)²/(5F)
d’=25v²/5F=5v²/F
contrasting these two: d’=5d