When three people with a total mass of 2.00 x 102 kg step into their 1.200 x 103 kg car, the car’s springs are compressed by 3.0 cm.

1.2.a. What is the spring constant of the car’s springs assuming they act as a single spring?
1.2.b. How far will the car lower if loaded with 3.00 x 102 kg rather than 2.00 x 102 kg

a

b

Explanation:

From the question we are told that

    The total mass of  three people is  

     The mass of the car is  

     The compression of the car spring is  

Generally the spring constant is mathematically represented as

Here F is the force exerted by the mass of three people and that of the car , this is mathematically represented as        

=>      

=>      

=>      

So

=>    

Generally if the mass which the car is loaded with is  

Then the force experienced by the spring is  

         =>      

         =>      

         =>      

Generally from the above formula the compression is  

=>    

=>          

current and voltage can both be different in different parts of a circuit so it matters where you place the ammeter and voltmete

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .