a stone is dropped into a well is heard to strike the water after 4 seconds. Find the depth of the well if the velocity of the stone is 350 metre/second
Question
a stone is dropped into a well is heard to strike the water after 4 seconds. Find the depth of the well if the velocity of the stone is 350 metre/second
Solution
To find the depth of the well, we can use the equation of motion for free fall:
h = (1/2) * g * t^2
where h is the depth of the well, g is the acceleration due to gravity, and t is the time taken for the stone to strike the water.
Given that the stone takes 4 seconds to strike the water, we can substitute the values into the equation:
h = (1/2) * g * (4)^2
Now, we need to find the value of g, which is the acceleration due to gravity. On Earth, the approximate value of g is 9.8 m/s^2.
Substituting the value of g into the equation:
h = (1/2) * 9.8 * (4)^2
Simplifying the equation:
h = (1/2) * 9.8 * 16
h = 78.4 meters
Therefore, the depth of the well is approximately 78.4 meters.
Similar Questions
A stone is dropped into a well in which the level of water is h below the top of the well. If v is velocity of sound, the time T after which the splash is heard is given byT = 2h/v
A stone is dropped from the top of a tower 500 m high into a pond of water at the base of the tower. When is the splash heard at the top? Given, g = 10 m s−2 and speed of sound = 340 m s−1.
A stone is dropped from the top of an overhead water tank and at the same time another stone is thrown vertically upwards from the ground level with a velocity of 20 ms^-1. If the stones met exactly 2 seconds after their release, determine the height of the overhead tank.
6 The water surface in a deep well is 78.0 m below the top of the well. A person at the top of thewell drops a heavy stone down the well.Air resistance is negligible. The speed of sound in the air is 330 m s –1.What is the time interval between the person dropping the stone and hearing it hitting the water?A 3.75 s B 3.99 s C 4.19 s D 4.22 s7 Which statement is not a requirement of a pair of forces that obey Newton’s third law of motion?A The forces act in opposite directions.B The forces act on different objects.C The forces act on objects in contact.D The forces are of equal magnitude.
A stone is projected horizontally with a velocity of 10m/s from the top of a building 39.2 m high. How long will the stone take to hit the ground.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.