A10 g toy car moving to the right at 20 cm/s has a head-on nearly elastic collision with a 24 g toy car moving in the opposite direction at 35 cm/s. after colliding, the 10 g car moves with a velocity of 58 cm/s to the left. find the speed of the second car after the collision. answer in units of cm/s.

v' = -2.5 cm/s

Explanation:

given,

mass of toy car, m = 10 g

speed of right, u= 20 cm/s

mass of toy car, M = 24 g

speed opposite, u' = 35 cm/s

after collision

10 g car moves to left, v = 58 cm/s

    v' = ?

using conservation of momentum

m u + M u' = m v + M v'

10 x 20 - 24 x 35 = - 10 x 58  + 24 x  v'

24 x v' = -60

v' = -2.5 cm/s

speed of second car after collision = -2.5 cm/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

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