Answer:
Force constant will be 1195.85 N/m
Work done will be 1.6859 J
Explanation:
We have given the force, F = 63.5 N
Spring is stretched by 5.31 cm
So x = 0.0531 m
Force is given , F = 63.5 N
We know that force is given by 
So 
k = 1195.85 N/m
Now we have to find the work done
We know that work done is given by

We don't know how many of ANY color are in the bag right now, so there's no way to calculate an answer.
What Tom has to do is make sure that the number of marbles that are NOT blue is NINE TIMES the number of blue ones in the bag.
When an object absorbs an amount of energy equal to Q, its temperature raises by

following the formula

where m is the mass of the object and

is the specific heat capacity of the material.
In our problem, we have

,

and

, so we can re-arrange the formula and substitute the numbers to find the specific heat capacity of the metal: