Answer:
52.9 N, 364.7 N
Explanation:
First of all, we need to resolve both forces along the x- and y- direction. We have:
- Force A (178 N)

- Force B (259 N)

So the x- and y- component of the total force acting on the block are:

 
        
             
        
        
        
Answer:
50 N
Explanation:
Let the natural length of the spring = L
so
100 = k(40 - L)       (1)
200 = k(60 - L)       (2)
(2)/(1):   2 = (60 - L)/(40 - L)
60 - L = 2(40 - L)
60 - L = 80 - 2L
2L - L = 80 - 60
L = 20
Sub it into (1):
100 = k(40 - 20) = 20k
k = 100/20 = 5 N/in
Now
X = k(30 - L) = 5(30 - 20) = 50 N
 
        
             
        
        
        
As the density of the unknown substance is 0.68g/0.8ml = 0.85g/ml, it is less dense than the maple syrup at 1.33g/ml and will float.