Question

it is moving day and you are in a hurry! you drop a fridge from a height of 75.0m out a window. a stool is thrown down from the same height 0.091s later if both objects hit the ground at the same time what was the initial

Answer 1

Step-by-step explanation:

Given:

H = 75 m

Δt = 0.091 s

g =9.81 m/s²

_________

V₀ - ?

Assume that the stool fell freely, then the time of its fall:

H = g·t²/2

t = √ (2·H / g) = √ (2*75 / 9.81) ≈ 3.910 s

The refrigerator was thrown down with initial speed and fell:

t₁ = t - Δt = 3.910 - 0.091 ≈ 3.82 s

Find the initial chip of the refrigerator:

H = V₀·t₁ + g·t₁²/2

V₀·t₁ = H - g·t₁²/2

V₀ =H / t₁ - g·t₁ / 2

V₀ = 75 / 3.82 - 9.81·3.82 / 2 ≈ 0.90 m/s

So, at first, the stool is simply released from the hands, and the refrigerator is thrown down with the initial speed 0.90 m/s