If a girl makes a homemade sling shot that requires a force of 14 N to pull it's pebble (.08kg) into place at 0.1 m from the resting position of the sling shot, the maximum velocity of the pebble will be

Givent that,

The required force to pull the peddle is

F = 14N,

The peddle has a mass of

m = 0.08kg

To a distance of 0.1m

d = 0.1m

Using conservation of energy

The workdone by pulling the peddle to a certain distance is equal to the kinectic energy of the peddle

Work done = K. E

F * d = ½ mv²

14 * 0.1 = ½ * 0.08 * v²

1.4 = 0.04 v²

v² = 1.4 / 0.04

v² = 35

v = √35

v = 5.92 m/s

The velocity of the peddle is 5.92 m/s