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

Explanation:

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

d₁ = displacement of tern from arctic to antarctic = 11000 miles

d₂ = displacement of tern from antarctic to arctic =   - 11000 miles

d = total displacement for the journey

total displacement for the journey is given as

d = d₁ + d₂

d = 11000 + (-11000)

d = 0 miles

t₁ = time of travel from arctic to antarctic = 3 months = 3 x 30 days = 90 days

t₂ = time of travel from antarctic to arctic = 3 months = 3 x 30 days = 90 days

t = total time of travel

total time of travel is given as

t = t₁ + t₂

t = 90 + 90

t = 180 days

average velocity is given as

average velocity = total displacement/ total time

v = d/t

v = 0/180

v = 0 miles/day