Answer:
h = 38.41 m
Explanation:
Given that,
A ball is thrown horizontally from the top of a building and strikes the sidewalk after 2.8 s.
We need to find the height of the building. Let it is h.
Initial speed of the ball, u = 0
Using second equation of motion to find h as follows :

So, the building is 38.41 m tall.
The volume of the diluted (i.e the new) solution given the data is 147 mL
<h3>Data obtained from the question </h3>
- Molarity of stock solution (M₁) = 1.85 M
- Volume of stock solution (V₁) = 84 mL
- Molarity of diluted solution (M₂) = 1 M
- Volume of diluted solution (V₂) = ?
<h3>How to determine the volume of diluted solution </h3>
M₁V₁ = M₂V₂
1.75 × 84 = 1 × V₂
V₂ = 147 mL
Thus, the volume of the new solution is 147 mL
Learn more about dilution:
brainly.com/question/15022582
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Complete Question
The spaceship Intergalactica lands on the surface of the uninhabited Pink Planet, which orbits a rather average star in the distant Garbanzo Galaxy. A scouting party sets out to explore. The party's leader–a physicist, naturally–immediately makes a determination of the acceleration due to gravity on the Pink Planet's surface by means of a simple pendulum of length 1.08m. She sets the pendulum swinging, and her collaborators carefully count 101 complete cycles of oscillation during 2.00×102 s. What is the result? acceleration due to gravity:acceleration due to gravity: m/s2
Answer:
The acceleration due to gravity is
Explanation:
From the question we are told that
The length of the simple pendulum is 
The number of cycles is 
The time take is
Generally the period of this oscillation is mathematically evaluated as

substituting values


The period of this oscillation is mathematically represented as

making g the subject of the formula we have
![g = \frac{L}{[\frac{T}{2 \pi } ]^2 }](https://tex.z-dn.net/?f=g%20%3D%20%5Cfrac%7BL%7D%7B%5B%5Cfrac%7BT%7D%7B2%20%5Cpi%20%7D%20%5D%5E2%20%7D)

Substituting values

Answer: 6.45 s
Explanation:
We have the following equation:
(1)
Where:
is the height when the rock hits the ground
the height at the edge of the cilff
the initial velocity
acceleration due gravity
time
(2)
Rearranging the equation:
(3)
At this point we have a quadratic equation of the form
, and we have to use the quadratic formula if we want to find
:
(4)
Where
,
, 
Substituting the known values and choosing the positive result of the equation:
(5)
This is the time it takes to the rock to hit the ground
Speed is calculated by distance divided by time