OK here goes...
arthur wrote:--------you can swing a sledge hammer and apply a larger force to the nail than the force you put into the lift/swing.
(given you lifted the hammer from the same height as the nail).
this is true!!!!!!
Let's think about this.
transfer a weight's horizontal velocity into a vertical velocity.
the weight will lose force if
horizontal velocity is transferred
upwards,
...or gain force if
horizontal velocity is transferred
downwards.
>this extra force gained when a weight changes direction of velocity from horizontal to downward
is
independent of the force it gains from the drop in the curve used to change it's horizontal direction.
for example,
--weight (z) is on the rim of a wheel at 12:00 traveling clockwise at the speed (x).
this
horizontal velocity will automatically transfer into downward
vertical velocity at 3:00.
The force of an impact of weight (z) at 3:00
= the sum of:
[the force of weight (z) traveling at speed (x)
downward
+
the force weight (z) would obtain after simply dropping the distance of the radius of the wheel.
]
SO, this force of weight (z)'s impact at 3:00
- (force applied to the nail)
is greater than:
[the force required to lift weight (z) the distance of the radius of the wheel (distance it dropped)
+
the force required to bring weight (z)
horizontally to speed (x).
]
=
(force put into the lift/swing)
the difference here between:
the force put into the lift/swing -
vs.
- the force applied to the nail
is the same as the difference between:
the force of weight (z) moving at speed (x)
horizontally -
vs.
- the force of weight (z) moving at speed (x)
downwards.
- the force of weight (z) moving moving at speed (x)
downwards - (force applied to the nail)
...
is clearly greater.
thank you gravity!!!
......I was never taught this in physics class but it is common sense
energy is free