Given:
mass of the spike is

initial speed od the spike is

if the tie and spike together absorb 22 percent of the spike's initial kinetic energy.
Required:
calculate the increase in internal energy of the tie and spike.
Step-by-step explanation:
here we apply conservation of energy.

total change in energy is zero.
here potential energy is not given so neglect that part. we have only


Here,

K1 is initial kinetic energy and K2 is final kinetic energy that is equal to zero.
now we have

we know that kinetic energy is

then

plugging all the values in the above relation. we get

Thus, the change in internal energy is
