If a resident accidentally causes a chunk of ice to fall from the roof, how fast would the ice be moving when it hits the ground? Neglect air resistance.

Answer:

v = √2gh

v = 7 m / s

Explanation:

For this exercise we can use the law of conservation of energy

starting point. In the roof

Em₀ = U = m g h

final point. On the floor

Em_f = K = ½ m v²

as there is no friction, the energy is conserved

Em₀ = Em_f

m g h = ½ m v²

v = √2gh

In the exercise the height of the ceiling is not indicated, but in general the height of the ceiling of a house is h = 2.5 m

Answer:v = √2gh

v = 7 m / s

Explanation:For this exercise we can use the law of conservation of energy

starting point. In the roof

Em₀ = U = m g h

final point. On the floor

Em_f = K = ½ m v²

as there is no friction, the energy is conserved

Em₀ = Em_f

m g h = ½ m v²

v = √2gh

In the exercise the height of the ceiling is not indicated, but in general the height of the ceiling of a house is h = 2.5 m

v = √ (2 9.8 2.5)

v = 7 m / s