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2 answers:
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The speed of the mass : <em><u>v = 0.316 m/s</u></em>
<h3>Further explanation</h3>The energy used to press a spring is included as the potential energy
Can be formulated:
Ep= potential energy
k = spring constant
x = change in spring length
If the spring is released from its pressure, this potential energy will turn into kinetic energy
so applies the law of conservation of mechanical energy (Em)
Ek = Ep
A mass of 2 kg is attached to a spring, a spring constant of 20 N/m, and the spring is compressed 0.1 m past its natural length.
m = 2 kg
k = 20 N/m
x = 0.1 m
Hooke's law
Keywords : spring,mass, spring constant,compressed position
Answer:
$1,105.69
Explanation:
For this question we use the Present value formula that is shown on the attachment. Kindly find it below:
Given that,
Future value = $1,000
Rate of interest = 8.4% ÷ 2 = 4.2%
NPER = 20 years × 2 = 40 years
PMT = $1,000 × 9.5% ÷ 2 = $47.50
The formula is shown below:
= -PV(Rate;NPER;PMT;FV;type)
So, after solving this, the maximum price pay for the bond is $1,105.69
To solve this problem it is necessary to apply the concepts related to the adiabatic process that relate the temperature and pressure variables
Mathematically this can be determined as
Where
Temperature at inlet of turbine
Temperature at exit of turbine
Pressure at exit of turbine
Pressure at exit of turbine
The steady flow Energy equation for an open system is given as follows:
Where,
m = mass
= mass at inlet
= Mass at outlet
= Enthalpy at inlet
= Enthalpy at outlet
W = Work done
Q = Heat transferred
= Velocity at inlet
= Velocity at outlet
= Height at inlet
= Height at outlet
For the insulated system with neglecting kinetic and potential energy effects
Using the relation T-P we can find the final temperature:
From this point we can find the work done using the value of the specific heat of the air that is 1,005kJ / kgK
So:
Therefore the maximum theoretical work that could be developed by the turbine is 678.248kJ/kg