The time elapsed when the ball reaches the window is 1.55s
As per the question:
Final velocity, v = 11 m/s
Height, h = 29m
Acceleration, a = g = -9.8 m/s
From the third equation of motion:
v² = u² +2as
u² = v² - 2as
u² = (11)² - 2 × (-9.8) × (29)
u² = 689.4
u = √689.4
u = 26.25 m/s
Now, from the first equation of motion:
v = u + at
t = 1.55 s
Therefore, the time elapsed when the ball reaches the window is 1.55s.
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Answer: 20.73 m/s
Explanation:
The centripetal force is given by the following equation:
(1)
Where:
is the centripetal force
is the mass of the car
is the centripetal acceleration
Isolating :
(2)
(3)
(4)
Now, there is a relation between the centripetal acceleration and the tangential velocity:
(5)
Where is the tangential velocity and is the radius of the circular path, which can be found if we know its length :
(6)
(7)
(8)
(9)
Substituting (4) and (8) in (5)
(5)
Finding :
The wavelength of the interfering waves is 3.14 m.
<h3>Calculation:</h3>
The general equation of a standing wave is given by:
y = 2A sin (kx) cos (ωt) ......(1)
The given equation represents the standing wave produced by the interference of two harmonic waves:
y = 3 sin (2x) cos 5t .......(2)
Comparing equations (1) and (2):
k = 2
We know that,
k = 2π/λ
λ = 2π/k
λ = 2 (3.14)/ 2
λ = 3.14 m
Therefore, the wavelength of the interfering waves is 3.14 m.
I understand the question you are looking for is this:
Two harmonic waves traveling in opposite directions interfere to produce a standing wave described by y = 3 sin (2x) cos 5t where x is in m and t is in s. What is the wavelength of the interfering waves?
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Answer:
False
Explanation:
The potential energy of a body increases by increasing the distance or elevation from a reference level (ground). This energy can be easily calculated by means of the following equation.
where:
m = mass [kg]
g = gravity acceleration [m/s²]
h = elevation [m]
As we can see the potential energy is proportional to height, that is, as the body increases its elevation, its potential energy increases.