a city government received a $1 million grant to build swimming pools and skating rinks for youth. based on the data provided in
1 answer:
We have that for the Question "A city government received a $1 million grant to build swimming pools and skating rinks for youth. based on the data provided in the graph, what is the opportunity cost of building one swimming pool?" it can be said that
OC=2
From the question we are told
A city government received a $1 million grant to build swimming pools and skating rinks for youth. based on the data provided in the graph, what is the opportunity cost of building one swimming pool?
Generally the equation for the Opportunity cost is mathematically given as
Therefore
From the graph of the question we can ascertain that Opportunity cost
OC=2
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Answer:
The rope must have a force of 10084,21 N
Explanation
Acceleration calculation
The car acceleration is equal to the acceleration of the truck
ac: car acceleration
at: truck acceleration)
equation(1)
Known information:
vi = Initial speed = 0, ti = initial time = 0
vf = Final speed = 13 , t = final time =5 s
We replaced the known information in the equation(1):
Dynamic analysis
The forces acting on the car are the following:
Wc: Car weight
N: normal force, road force on the car
Ff: Friction force
T: Force of tension
Car weight calculation:
mc = Car mass = 2230kg
g = Gravity acceleration=9.8
Normal force calculation:
Newton's first law
Friction force calculation (Ff):
We have the formula to calculate the friction force:
Ff = μk * N Equation (3)
μk kinetic coefficient of friction
We know that μk = 0.373and N= 21854N ,then:
Calculation of the tension force in the rope (T):
Newton's Second law
T=10084,21 N
Answer: The rope must have a force of 10084,21 N