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Speed according to the force and the distance traveled, when a force is applied horizontally to an object

ÀÛ¼ºÀÚ Uploader : ÀÚÀ¯³«ÇÏ ÀÛ¼ºÀÏ Upload Date: 2019-08-19º¯°æÀÏ Update Date: 2019-09-04Á¶È¸¼ö View : 304

When a force is applied to an object with mass m (kg) in a frictionless plane, the relationship between force and travel distance is shown in the fogure.

The force increases from zero to a constant up to a (N) and then decreases again to zero when the object is at b (m).

The speed v when the object is at b (m) can be obtained as follows.

W (J) : the work the object received up to b (m) W (J)

W = F*S = (1/2)*a*b

Kinetic energy of the object Ek (J)

Ek = (1/2)*m*v^2

Since W = Ek,

m*v^2 = a*b

v = (a*b/m)^(1/2)

*** Âü°í¹®Çå[References] ***

v = (a*b/m)^(1/2)
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