Question

A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 6.40 N is applied. A 0.520-kg particle rests on a frictionless horizontal surface and is attached to the free end of the spring. The particle is displaced from the origin to x = 5.00 cm and released from rest at t = 0. (Assume that the direction of the initial displacement is positive. Use the exact values you enter to make later calculations.)

(a) What is the force constant of the spring?
ANSWER IN N/m

(b) What are the angular frequency ω, the frequency, and the period of the motion?

ω =	ANSWER IN rad/s
f =	ANSWER IN Hz
T =	ANSWER IN  s

(c) What is the total energy of the system?
ANSWER IN  J

(d) What is the amplitude of the motion?
ANSWER IN  cm

(e) What are the maximum velocity and the maximum acceleration of the particle?

vmax =	ANSWER IN  m/s
amax =	ANSWER IN  m/s2

(f) Determine the displacement x of the particle from the equilibrium position at t = 0.500 s.
ANSWER IN  cm

(g) Determine the velocity and acceleration of the particle when t = 0.500 s. (Indicate the direction with the sign of your answer.)

v =	ANSWER IN  m/s
a =	ANSWER IN  m/s2

Answer 1

K(0 O3) 64 0.0る IM-213, 33 )m 3 640 3 (0.S2) メ640メ(0.05)--0. 267丁 2 2 3 2 つに0.05 co scot - o.oSC0 --o.osuo sinco t--. 0.05 co sindo.i 225sa d 0 127 S A1 dt t1s 643 mld adv