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WINSTONCH [101]
3 years ago
8

A flowerpot falls off a windowsill and falls past the window below. You may ignore air resistance It takes the pot 0.420 s to pa

ss from the top to the bottom of this window, which is 1.90 m high.1. How far is the top of the window below the windowsill from which the flowerpot fell?
Physics
1 answer:
eduard3 years ago
6 0

Answer:

the distance of the top of the window below the windowsill from which the flowerpot fell is 0.31 m

Explanation:

given information:

time, t = 0.420 s

height, h = 1.9 m

the the vertical motion equation:

h = v_{0}t + \frac{1}{2} gt^{2}

where

h = height (m)

v_{0} = initial velocity (m/s)

t = time (s)

g = gravitational force (9.8 m/s^{2})

first we calculate the velocity of the flowers pot when it reaches top window

h = v_{0}t + \frac{1}{2} gt^{2}

1.9 = v_{0}(0.42) + (\frac{1}{2} 9.8 0.42^{2})

v_{0} = (1.9 - (\frac{1}{2} 9.8 0.42^{2}))/0.42

   = 2.47 m/s

now we can find the distance of the windowsil

v^{2} =v_{0} ^{2} + 2gh

v = 0, thus

2gh = - v_{0}^{2}

h = -v_{0}^{2}/2g

  = (- 2.47^{2} ) / (2 x 9.8)

  = 0.31 m

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