The mass in the figure below slides on a frictionless surface.
When the mass is pulled out, spring 1 is stretched a distancex1from its equilibrium position and spring 2 is stretched a distancex2. The spring constants arek1andk2, respectively. The force pulling back on the mass is
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?
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A.
B.
C.
D.
.E.
.Answer: B
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The dimensionless ratio U?/?Lg , called Froude number, is a measure of similarity between an ocean-going ship and a scale model of the ship to be tested in a laboratory water channel. A 150 m long cargo ship is designed to run at 36 km/h, and a 1.5 m geometrically similar model is towed in a water channel to study wave resistance. What should be the towing speed in m s–1?
A ship model and its prototype
Froude number = U? /?Lg is a measure of similarity
Ship length (Ls) = 150 m
Ship speed (U?s) = 20 knots
Model length (Lm) = 1.5 m
FIND
Model towing speed (U?m)
SKETCH
An object moving in simple harmonic motion has an amplitude of 0.0450 m and a maximum acceleration of 40.0 m/s2 . What is the frequency of the system?
a. 14.9 Hz b. 187 Hz c. 4.75 Hz d. 11.9 Hz e. 1.80 Hz
A solenoid with 400 turns has a radius of 0.040 m and is 40 cm long. If this solenoid carries a current of 12 A, what is the magnitude of the magnetic field at the center of the solenoid?
A) 16 mT B) 4.9 mT C) 15 mT D) 6.0 mT E) 9.0 mT
Internal human body temperature is often stated to be normal at 98.6°F. What is this temperature on the Kelvin scale?
A) 346 K B) 393 K C) 310 K D) 296 K E) 418 K