a stone is falled from a tower of height of 500 m into a pond water. When did we hear the sound of the stone, contact with water from the tower. If velocity of sound is 340m/s and accelaration of gravity is 10 m/s2
h = 0.5g*t1^2 = 500 m.
5t1^2 = 500.
t1^2 = 100.
t1 = 10 s. = Fall time.
h = Vs*t2 = 500.
340*t2 = 500.
t2 = 1.47 s. To travel 500 m.
t1+t2 = 10 + 1.47 = 11.47 s. To hear the
sound of the stone.
The ques seems not to be so complicated as henry did but it needs to some mind work and smartness oh well i got answer it's approx. 11.5
To find out when we hear the sound of the stone hitting the water from the tower, we need to calculate the time it takes for the stone to fall from the tower to the water's surface.
We can use the equation of motion to find the time it takes for the stone to fall:
s = ut + (1/2)at^2
where:
s = distance (500 m)
u = initial velocity (0 m/s, as the stone is dropped)
a = acceleration due to gravity (10 m/s^2)
t = time
Rearranging the equation, we have:
t^2 = (2s)/a
Substituting the values:
t^2 = (2 * 500 m) / 10 m/s^2
t^2 = 100 s^2
t = √100 s
t = 10 s
Therefore, it takes 10 seconds for the stone to fall from the tower to the water.
Now, to find when we hear the sound, we need to consider the speed of sound. Since the speed of sound is 340 m/s, we can calculate the distance traveled by sound in 10 seconds:
Distance = Speed × Time = 340 m/s × 10 s = 3400 m
So, we will hear the sound of the stone hitting the water after it reaches a distance of 3400 meters from the tower.