A stone is dropped from the top of a tower 500m high into a pond of water at the base of the tower. when is the splash heared at the top ? given g = 10m/s^2 and speed of sound = 340 m/s.
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Answered by
44
the height=500m
h=ut+0.5gt²
we initial velcity is zero
500=0.5 * 10 * t²
t=10 seconds
speed of the sound is 340 m/s
so time taken to travel 500m upwards is 500/340=1.47 sec
TIME TAKEN IS 10+1.47=11.47 sec
h=ut+0.5gt²
we initial velcity is zero
500=0.5 * 10 * t²
t=10 seconds
speed of the sound is 340 m/s
so time taken to travel 500m upwards is 500/340=1.47 sec
TIME TAKEN IS 10+1.47=11.47 sec
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Answered by
30
Solution ➣ When you will hear sound? Obviously, when stone will hit the pond and then the sound produced will reach to our ears.
So, Time taken by sound to reach us is sum of time taken by stone to reach pond and sound rebounded back to our ears.
Time taken by stone to reach pond,
s = ut + ½ at²
500 m = (0)(t) + ½ × 10 × t²
500 m = 5t²
√100 s = t
10 s = time
Now, time taken by sound produced to reach our ears,
t = d / s = 500 m / 340 m/s
= 1.47 s
Total Time Taken = 10 s + 1.47 s = 11.47 s
✪ Answer : 11.47 seconds
So, Time taken by sound to reach us is sum of time taken by stone to reach pond and sound rebounded back to our ears.
Time taken by stone to reach pond,
s = ut + ½ at²
500 m = (0)(t) + ½ × 10 × t²
500 m = 5t²
√100 s = t
10 s = time
Now, time taken by sound produced to reach our ears,
t = d / s = 500 m / 340 m/s
= 1.47 s
Total Time Taken = 10 s + 1.47 s = 11.47 s
✪ Answer : 11.47 seconds
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