If a force always acts perpendicular to an object's direction of motion, that force cannot change...
If a force always acts perpendicular to an object's direction of motion, that force cannot change the object's kinetic energy. True or False. Why?
Homework Answers
It is True that a force which is always acting perpendicular to an object's direction of motion cannot change its kinetic energy. We can explain this using the work-energy theorem: The change in the kinetic energy of an object is equal to the work done by the force on the object.
The work done by force 
to displace an
object by 
is
where 
is the angle
between and .
When the force is perpendicular to the displacement 
. Therefore,
The work done by a force acting perpendicular to the direction of motion is zero. By work-energy theorem, the change in its kinetic energy is also zero.
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