At a height of 3.2 meters, the final speed of the model rocket is 26.05 m/s.
Given the following data:
To find the final speed of the model rocket, we would use the third equation of motion;
Where:
Substituting the given parameters into the formula, we have;
Final velocity, V = 26.05 m/s
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We can solve the problem by using the following equation:
where
vf is the final speed of the rocket
vi=0 is the initial speed of the rocket (it starts from rest)
is the rocket's acceleration
S=3.2 m is the distance covered by the rocket
Re-arranging the equation, we find the velocity of the rocket after 3.2 m:
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The time period of the crystal motion is equal to 1.06 ×10⁻⁵ seconds.
The time period of oscillation of a wave can be defined as the time taken by any element to complete one oscillation.
The time period for a wave can be represented as follows:
T = 2π/ω
The frequency defines as the number of completeoscillations made by any wave element per unit of time. The frequency can be defined as a parameter that explains the rate of oscillation and vibration.
The relation between the frequency and the time period can be written as:
f = 1/T
Where f is the frequency of the wave and T is the time period of the wave.
Given, the frequency with which the crystalvibrates, f = 93621 Hz
The time period (T) of the crystals motion can be determined as:
T = 1/f = 1/ 93621
T = 1.06 ×10⁻⁵ sec
Learn more about the time period, here:
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Answer:0.0000107s
Explanation:
f=1/T
T=1/f
f=93621 1/s
t=1/93621
T=0.00001068 s
Considering the definition of density, the density of the old coin is 8.92 .
It is neccesary to know that density is defined as the property that matter, whether solid, liquid or gas, has to compress into a given space.
In other words, Density is a quantity that allows us to measure the amount of mass in a certain volume of a substance, that is, density is the relationship between the mass of a substance and the volume it occupies.
Mathematically, the expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:
In this case, you know:
Replacing in the definition of density:
Solving:
density= 8.92
The density of the old coin is 8.92 .
Learn more about density:
Density = mass/volume
26.76/3 = 8.92
The density is 8.92