To be careful towards what you do.
Given:
Applied stress, 
Critical Resolved Stress, 
Solution:
a). According to the question, orientation of tensile load is along [1 1 1],

Now, for resolved shear stress,
along [1 0 1] within (1 1 T)
let '
' be the angle between [1 1 1] and [1 0 1], then by coordinate formula:
= 
= 
let '
' be the angle between [1 1 1] and [1 1 1], then by coordinate formula:
= 1
Now, for the resolved components along [1 0 1]
= 
=
= 0.3673 MPa
b). For required tensile stress to produce
:



Answer:
0.9Ns
Explanation:
Impulse formula is expressed as;
Impulse = Ft = m(v-u)
Impulse = m(v-u)
m is the mass of football = 0.45kg
v is the final velocity = 22m/s
u is the initial velocity = 0m/s
Impulse = 0.45(22-0)
Impulse = 0.45 * 22
Impulse = 0.9Ns
Hence the magnitude of the impulse imparted to the receiver by the ball is 0.9Ns
If the force is in the right range ... not too strong and not too
weak ... then a bathroom scale can be used to measure it.
If the force is huge, then you'd need a truck scale.
If the force is small, then you'd need a laboratory balance.