23. A 0.50-kg box is attached to an idea

Question

23. A 0.50-kg box is attached to an ideal spring of force constant (spring constant) 20 N/m on a horizontal,
frictionless floor. The box oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium
position.
(a) What amplitude of vibration?
(b) At whal cance from the equilibrium position are the kinetic energy and the potential energy the same?
B.
i
U Font Family
Aa' A eV = E E
IJ
(

Kunduz · Accepted Answer

(@) Energy of the mass spring systems
E- Utk =
Į kaze 1 m ²
4
2
At point of main displacement;
XEA
cystem
only
i and v=0 so, the
will have
potentiale
ene.
E
1/2 KAZ
-O
Now, when the
system
crowes the equm pontion,
x=0; Nmay so,
Va
K.
I only ICA
2
E = 1/2 muna
E
Total Energy must be conserved se,
1 k namor
2
KA² - 1
2
A =
= 0.24m
0.50x1.5
numai
e
2022

23. A 0.50-kg box is attached to an ideal spring of force constant (spring constant) 20 N/m on a horizontal, frictionless floor.