Question

A mirror faces a cliff located some distance away. Mounted on the cliff is a second mirror, directly opposite the first mirror a distance 1,772.35 away and facing toward it. A gun is fired very close to the first mirror. The temperature on the day is 26.88 oC. How many times does the muzzle flash of the gun travel the round trip distance between the mirrors before the echo of the the gunshot is heard?

Answer 1

Here is what I solved before, please modify the figures as per your question. Please let me know if you have further questions. Ifthis helps then kindly rate 5-stars.

A mirror faces a cliff located some distance away.  Mounted on the cliff is a second mirror, directly opposite the first mirror a distance 1,901.67 away and facing toward it.  A gun is fired very close to the first mirror.  The temperature on the day is 16.86 ^oC.  How many times does the muzzle flash of the gun travel the round trip distance between the mirrors before the echo of the the gunshot is heard?

answer

velocity of sound at 16.86 degrees selsius is

V = Vo + 0.6*T

vo = 331 m/s


v = 331 + 0.6*16.86

= 341.116 m/s

time taken to hear sound

t = d/v = 1901.67/341.116 = 5.5748 s

distance travelled by light in this time


d' = c*t = 3*10^8*5.5748 = 1.67245*10^9 m


let the flash is tavels n times

n = d'/d

= 1.67245*10^9/1901.67


= 8.7946*10^5 times