A pebble is dropped freely in a well from its top . It takes 20 seconds for the pebble to reach the after surface in the well . Taking gravity as 10 m/s^2 and speed of sound =330m/s , find the depth of after surface and the time when echo is heard after the pebble is dropped
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Explanation:
the pebble is freely dropped, so its initial speed will be 0
i.e, u=0
time taken is 20 s, therefore t=20s
acceleration due to gravity is 10m/s^2, therefore a=10m/s^2
we know that,
S=ut+1/2 at^2, but u=0
so s=1/2at^2
s=1/2 x 10 x 20 x 20= 2000m
Therefore , the depht of the well is 2000m, (which is ridiculous)
and the time taken for the sound of the pebble dropping will be
t=d/s
t=2000/330= 6.06s
hope it helps and have a nice day!
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