So, the time needed before you hear the splash is approximately <u>2.06 s</u>.
<h3>Introduction</h3>
Hi ! In this question, I will help you. This question uses two principles, namely the time for an object to fall freely and the time for sound to propagate through air. When moving in free fall, the time required can be calculated by the following equation:
With the following condition :
- t = interval of the time (s)
- h = height or any other displacement at vertical line (m)
- g = acceleration of the gravity (m/s²)
Meanwhile, for sound propagation (without sound reflection), time propagates is the same as the quotient of distance by time. Or it can be formulated by :
With the following condition :
- t = interval of the time (s)
- s = shift or displacement (m)
- v = velocity (m/s)
<h3>Problem Solving</h3>
We know that :
- h = height or any other displacement at vertical line = 19.6 m
- g = acceleration of the gravity = 9.8 m/s²
- v = velocity = 343 m/s
What was asked :
- = ... s
Step by step :
- Find the time when the object falls freely until it hits the water. Save value as
- Find the time when the sound propagate through air. Save value as
- Find the total time
<h3>Conclusion</h3>
So, the time needed before you hear the splash is approximately 2.06 s.
To solve this problem we will apply the concepts related to the Force of gravity given by Newton's second law (which defines the weight of an object) and at the same time we will apply the Hooke relation that talks about the strength of a body in a system with spring.
The extension of the spring due to the weight of the object on Earth is 0.3m, then
The extension of the spring due to the weight of the object on Moon is a value of , then
Recall that gravity on the moon is a sixth of Earth's gravity.
We have that the displacement at the earth was , then
Therefore the displacement of the mass on the spring on Moon is 0.05m
The layers have different ages with the youngest layers on top.
Explanation:
Geologic records can be analyzed by merely looking at different layers because, the layers have different ages with the youngest layers on top and the oldest at the bottom.
- Layers of rocks that can be analyzed this way are the sedimentary rocks.
- Sedimentary rocks are formed by the lithificatiion and compaction of sediments in their basin of deposition.
- According to one of the fundamental principles in geology, "in an undisturbed sequence of sediments, the oldest rock layer is at the bottom and the youngest is on top".
- This principles is the principle of superposition of sedimentary strata.
- It helps in relative dating of sedimentary rocks.
Learn more:
Sedimentary rocks brainly.com/question/9131992
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PART a)
Force of friction on the box is given by formula
now the component of weight along the inclined
now by force balance the force required to hold the block
Part b)
to slide the block upwards the friction force will be upwards along the plane
Part c)
Kinetic friction on the block is given by
now in order to move it up
Part d)
now to accelerate upwards by 0.65 m/s^2 we can use
The point midway between the two charges is located 15.0 cm from one charge and 15.0 from the other charge. The electric field generated by each of the charges is
where
ke is the Coulomb's constant
Q is the value of the charge
r is the distance of the point at which we calculate the field from the charge (so, in this problem, r=15.0 cm=0.15 m).
Let's calculate the electric field generated by the first charge:
While the electric field generated by the second charge is
Both charges are positive, this means that both electric fields are directed toward the charge. Therefore, at the point midway between the two charges the two electric fields have opposite direction, so the total electric field at that point is given by the difference between the two fields: