A mirror faces a cliff located some distance away. Mounted on the cliff is a sec
ID: 2252744 • Letter: A
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 1,901.67 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? please show all work. thank you. 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? please show all work. thank you.Explanation / 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