From the top of a tower is an object of mass 25 kg lowered at constant speed, 4 m / s with a rope to the ground. After 10 seconds of the rope breaks, and the object falls freely. From the moment (the rope breaks) there is 12 seconds to those standing on top of the tower and let down the object hear the sound of the shot towards the ground.

Question

From the top of a tower is an object of mass 25 kg lowered at constant speed, 4 m / s with a rope to the ground. After 10 seconds of the rope breaks, and the object falls freely. From the moment (the rope breaks) there is 12 seconds to those standing on top of the tower and let down the object hear the sound of the shot towards the ground.

The speed of sound is 334 m / s

Answer 1

I don't see a question here. Do they want to know the height of the tower? For that, you have to add up two time intervals:

(1) Time to fall after rope breaks and (2) time for sound to reach top of tower

The sum of those intervals is 12 seconds

Solve the resulting equation for the building height.

Remember that the object is already 40 m below the top when the rope breaks.

Answer 2

Jeg ser ikke et spørsmål her. Vil de vite høyden på tårnet? For dette har du til å legge opp to tidsintervaller:

(1) Tid til å falle etter tau pauser og (2) tid for lyden å nå toppen av tårnet

Summen av disse intervallene er 12 sekunder

Løs den resulterende ligningen for byggehøyde.

Husk at objektet er allerede 40 meter under toppen når tauet pausene.

Answer 3

To find the height of the tower from which the object was dropped, we can use the equation of motion for free fall. The equation is:

h = (1/2) * g * t^2

Where:
- h is the height of the tower
- g is the acceleration due to gravity (approximately 9.8 m/s^2)
- t is the time it takes for the object to fall

First, let's find the time it takes for the object to fall freely. We know that the object was lowered at a constant speed of 4 m/s for 10 seconds. Therefore, it will take 10 seconds for the object to fall freely.

Now, we can calculate the height of the tower using the equation of motion:

h = (1/2) * g * t^2
h = (1/2) * 9.8 * (10^2)
h = 490 m

So, the height of the tower is 490 meters.

To calculate the time it takes for the sound to travel from the top of the tower to the ground, we can use the equation of motion for sound:

distance = speed * time

Given that the speed of sound is 334 m/s and the distance is the same as the height of the tower (490 m), we can rearrange the equation to solve for time:

time = distance / speed
time = 490 / 334
time ≈ 1.465 seconds

Therefore, it will take approximately 1.465 seconds for the sound of the shot to reach the ground from the top of the tower.