help explaining please a 3.92 N block, attached to the end of an ideal spring(ho
ID: 1299068 • Letter: H
Question
help explaining please
a 3.92 N block, attached to the end of an ideal spring(horizontal) with unknown force constant k, undergoes simple harmonic motion. The position from the equilibrium position is given by.
a. the amplitude of oscillations?
b. compute the max speed of block
c. compute the magnitude of the max acceleration of the block?
d. compute the inknown force constant k?
e. compute the angular frequency of the oscillations?
f. compute the total mechanical energy?
g. write velovity as a function of time or v(t)=?
Explanation / Answer
A) A = 0.2 m
B) Vmax = A*w = 0.2*250 = 50 m/sec...
C)amax= A*w^2 = 0.2*250^2 = 12500 m/s^2
D) mg= 3.92 N
m = 3.92/9.8 =0.4 kg
k = m*w^2 = 0.4*250^2 = 25000 N/m
E) w = 250 rad/sec....
F) E = 0.5*m*w^2*A^2 = 0.5*0.4*250^2*0.2^2 = 500 J
g) v(t) = -(0.2*250)*sin(wt+pi/3)
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