Answer:
The complete question and the solution is given in the explanation box below.
Step-by-step explanation:
Knowing lots of physics, Tom decides to estimate whether the haystack is good enough to break his fall.
He estimates the height of the haystack to be 1 meter. He presses down on top of the stack and discovers that to compress the stack by 25 cm, he has to exert a force of about 50 N. The barn door is 6 meters above the ground. Solve the problem by breaking it into pieces as follows:
A) Model the haystack by a spring. What is its spring constant?
B) Is the haystack tall enough to bring his speed to zero? (Estimate using conservation of energy)
C) If he does come to a stop before he hits the ground, what will the average force exerted on him be?
a.) -Kx = F { K is spring constant, x is displacement , F is force
K = F/x
= 50 /0.25 = 200 N/m
B.)
velocity of Tom before impact
vf^2 = vi^2 - 2*a*s
= 0 - 2*9.81*6
v= 10.849
K.E of Tom = 0.5 * m*v^2
now,{ K.E of Tom = P.E of HAy }
-0.5 K x^2 = 0.5 mv^2
x^2=(m*v^2)/K
if x>1 then the haystack is not tall enough to bring his speed zero else it will bring down its speed zero.
c.) avergae force would -kx