Question

prove that f=ma& Ek= 1/2 mv2​

Answer 1

Answer:

First up it’s K.E. = 1/2 m (v^2) ; the squared only applies to the v.

Here’s the way I do it, but there are other ways:

Using work done = force x distance (in the direction of the force)

f = m a

and v^2 = u^2 + 2as from the equations of motion.

Rearrange for s, substitute f/m for a into the equation of motion, then substitute into work = f s.

Explanation:

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Answer 2

Answer:

First up it’s K.E. = 1/2 m (v^2) ; the squared only applies to the v.

Here’s the way I do it, but there are other ways:

Using work done = force x distance (in the direction of the force)

f = m a

and v^2 = u^2 + 2as from the equations of motion.

Rearrange for s, substitute f/m for a into the equation of motion, then substitute into work = f s.

Explanation:

@darksoul