For three moles of an ideal gas are taken around the eye, the total work for the cycle is mathematically given as
Wt=1945.475J
<h3>What is the total work F for the cycle.(R=8.31J/molK)?</h3>
Generally, the equation for work is mathematically given as
Wt=wac+Wc+Wba
Therefore
Wac=Pa(Vc-Va)=nR(Tc-Ta)
Wac=3(8.314*192)
Wac=4788.864J
Wcb=P1v1-p2v2/v-1
Wcb-3*8.34*108/0.4
Wcb=-6734.34J
Wab=0
In conclusion,
Wt=wac+Wc+Wba
Wt=4788.864J+0+(-6734.34J)
Wt=+1945.475J
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Answer:
8.9
Explanation:
We can start by calculating the initial elastic potential energy of the spring. This is given by:
(1)
where
k = 35.0 N/m is the initial spring constant
x = 0.375 m is the compression of the spring
Solving the equation,
Later, the professor told the student that he needs an elastic potential energy of
U' = 22.0 J
to achieve his goal. Assuming that the compression of the spring will remain the same, this means that we can calculate the new spring constant that is needed to achieve this energy, by solving eq.(1) for k:
Therefore, Tom needs to increase the spring constant by a factor:
The power delivered by the motor lift in elevating the 10 passengers at the speed of 16.8 m/s is 205800 Watts
<h3>What is power? </h3>
Power is simply defined as the rate at which energy is consumed. It can be expressed mathematically as
Power (P) = Force (F) × velocity (v)
P = Fv
<h3>How to determine the force </h3>
- Mass (m) = 1250 Kg
- Acceleration due to gravity (g) = 9.8 m/s²
F = ma
F = 1250 × 9.8
F = 12250 N
<h3>How to determine the power </h3>
- Velocity (v) = 16.8 m/s
- Force (F) = 12250 N
P = Fv
P = 12250 × 16.8
P = 205800 Watts
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Answer:
333 N
Explanation:
The weight of an object is given by:
where
m is the mass of the object
g is the acceleration of gravity
For the mower in the problem,
m = 34 kg
Also
So, the weight of the mower is
