F = k *stretch for each
each supports 7.35 * 9.81/3
= 24 N
24 = k (.21)
k = 115 N/m agree except you use 9.8 for g I suspect
K = 3 k from part a = 343
omega = 2 pi f = sqrt(K/m)
= 6.83 radians/s
f = omega/2pi = 1.09 Hz
T = 1/f = .919 seconds agree
V = A omega sin (omega t)
max of sin is 1
Vmax = A omega = .210*6.83
= 1.44 m/s
A child bounces in a harness suspended from a door frame by three elastic bands.
(a) If each elastic band stretches 0.210 m while supporting a 7.35-kg child, what is the force constant for each elastic band?
114.33 N/m
(b) What is the time for one complete bounce of this child?
0.9198s
(c) What is the child's maximum velocity if the amplitude of her bounce is 0.210 m?
1 answer
1 answer