How does force relate to kinetic energy?

Answer 1

The force will determine how much energy the body will acquire.

From Newtons 1st law of motion, if a body is at rest and is subjected to a force which accelarates it at #a# m/#s^2#, then its velocity after t secs is:

#v=a*t#

The force needed to accelerate a body, according to Newton's second law of motion, is f= given by:

#F=m*a#

The body in motion will receive kinetic energy from

#K.E= (1/2) * m *v^2#

Do some substitutions: #K.E= (1/2) * m *v^2#

# (1/2) * m *(a*t)^2#

# (1/2) * m *a^2*t^2#

# (1/2) * F*a t ^2#

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Answer 2

Elena Albarran

Force is directly related to kinetic energy through the work-energy principle, which states that the work done on an object by a force is equal to the change in kinetic energy of the object. In simpler terms, when a force is applied to an object and causes it to move, the object gains kinetic energy proportional to the magnitude of the force and the distance over which it is applied. Therefore, the greater the force exerted on an object, the more kinetic energy it will gain, assuming no other factors such as friction or air resistance are present.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.