A penny is dropped from the 102nd floor observation deck of

A penny is dropped from the 102^nd floor observation deck of the Empire State Building. Acquire the following information (in SI base units) that may be relevant to analyze the scenario: The height from the observation deck to E 34^th St below, h The mass of an average penny, m The radius of an average penny, R This average thickness of a penny, w Based on the height of the fall, and assuming there is no wind resistance, determine the amount of time it takes the penny to fall, t, and the momentum the penny would have once it reaches the street, L.

Solution

Using Newton\'s law of motion

s=ut + (1/2)(at²) , Putting values

h= 0 + (1/2)(gt²)

t= (2h/g)^1/2 Time taken by penny to fall.

Using Newtons law of motion again

v² = u² + 2as

v² = 0 + 2 (gh)

v= (2gh)^1/2

Momentum of penny would have once it reaches street = m * v

=m ( 2gh)^1/2