- #1
EricPowell
- 26
- 0
Homework Statement
Time tries to crush a 0.85kg basketball, but is only able to compress it by 1.5cm when a force of 50N in applied
a) What is the spring constant of the ball?
b) When he throws it against the floor, it is compressed by 3.4cm. How high will the ball bounce?
Homework Equations
##F=kx## where k is the spring constant, and x is the length of the compression.
The Attempt at a Solution
The first part was easy enough.
a)##
F=3333\frac{N}{m}*0.034m
\\
=113.322N
##
b) I thought that maybe I could find two forces, the one due to gravity and the other due to the compression of the ball, and add those two forces together.
##
F_g=mg
\\
=0.58kg*(-9.81\frac{m}{s^2})
\\
=-5.6898N##
##
F_c=3333\frac{N}{m}*0.034m
\\
=113.322N
##
where Fc is the force due to compression.
##F_{Net}=113.322N-5.6898N
\\
=107.6322N
##
##
F=ma
\\
107.6322N=0.58kg*a
\\
a=185.57\frac{m}{s^2}
##
Could somebody push me in the right direction here?