Answer:
right
Explanation:
think of a compass theres N.E.S.W north, east, south, west
Felicia** drove at 45 mph. After 1/3 of an hour, when her husband started out, she was (45/3) = 15 miles from home.
Husband drove at 55 mph. He gained (55-45) = 10 miles on Felicia each hour. That is, he closed 10 miles of the gap each hour.
It took him (15/10) = 1.5 hours to catch up to her.
That's <em>1hr 30min after HE started out</em>, and <em>1hr 50min after SHE left the house</em>.
** I've spelled the wife's name as 'Felicia' throughout my solution. I'm pretty sure there's a better chance of this being the correct spelling rather than 'Felecia', and I never trust anybody who can't spell their own name.
Answer:
12.99 Hz
Explanation:
Resonance is said to occur in an RLC circuit when maximum current is obtained from the circuit. Hence at resonance; XL=XC and Z=R.
XL= inductive reactance, XC= capacitive reactance, Z= impedance, R= resistance
The resonance frequency is given by;
fo= 1/2π√LC
L= 3×10^-3 H
C= 0.05 F
π= 3.142
Substituting values;
fo= 1/2×3.142√3×10^-3 × 0.05
fo= 12.99 Hz
Therefore the resonance frequency of the RLC circuit is 12.99 Hz
Answer:
0.4113772 s
Explanation:
Given the following :
Mass of bullet (m1) = 8g = 0.008kg
Initial horizontal Velocity (u1) = 280m/s
Mass of block (m2) = 0.992kg
Maxumum distance (x) = 15cm = 0.15m
Recall;
Period (T) = 2π√(m/k)
According to the law of conservation of momentum : (inelastic Collison)
m1 * u1 = (m1 + m2) * v
Where v is the final Velocity of the colliding bodies
0.008 * 280 = (0.008 + 0.992) * v
2.24 = 1 * v
v = 2.24m/s
K. E = P. E
K. E = 0.5mv^2
P.E = 0.5kx^2
0.5(0.992 + 0.008)*2.24^2 = 0.5*k*(0.15)^2
0.5*1*5.0176 = 0.5*k*0.0225
2.5088 = 0.01125k
k = 2.5088 / 0.01125
k = 223.00444 N/m
Therefore,
Period (T) = 2π√(m/k)
T = 2π√(0.992+0.008) / 233.0444
T = 2π√0.0042910
T = 2π * 0.0655059
T = 0.4113772 s
