Physics Rotational Mechanics Level: Misc Level
The truck, is initially at rest with a solid cylindrical roll of paper in the position shown, moves forward with a constant acceleration. Find the distance which the truck goes before the paper rools off the edge of its horizontal bed of length d=4 m. Friction is sufficient to prevent slipping. Give your answer in meters.
Physics Waves And Oscillations Level: Misc Level
The sound level 12.0 m from a loudspeaker, placed in the open, is 101 dB.What is the acoustic power output of the speaker, assuming it radiates equally in all directions?
Physics Waves And Oscillations Level: Misc Level
A bat at rest sends out ultrasonic sound waves at 44.0 kHz and receives them returned from an object moving directly away from it at 30.0 m/s. What is the received sound frequency?
Physics Waves And Oscillations Level: Misc Level
A cassette player is said to have a signal -to noise ratio of 63dB, whereas for a CD player it is 89 dB, What is the ratio of intensities of the signal and the background noise for each device?
Cassette player
CD player
Physics Waves And Oscillations Level: Misc Level
A 3.80-kg mass vibrates according to the equation x=0.710 cos 7.80 t, where x is in meters and t in seconds.
a. Determine the amplitude.
b. Determine the frequency .
c. Determine the total energy.
d. Determine the kinetic energy and potential energy when x=0.284 m.
Kinetic energy=
Potential energy=
Physics Waves And Oscillations Level: Misc Level
A fisherman notices that wave crests pass the bow of his anchored every 2.6 s. He measures the distance between two crests to be 7.2 m. How fast are the waves traveling?
Physics Waves And Oscillations Level: Misc Level
A pendulum has a period of 0.80 s on Earth. What is its period on Mars, where the acceleration of gravity is about 0.37 that on Earth?
Physics Waves And Oscillations Level: Misc Level
A pendulum makes 36 vibrations in exactly 60 s.
a. What is its period?----- s/cycle
b. What is its frequency?
Physics Waves And Oscillations Level: Misc Level
An object with mass 3.0 kg is attached to a spring with spring stiffness constant k=3.2 E2 N/m and is executing simple harmonic motion. When the object is 0.030 m from its equilibrium position, it is moving with a speed of 0.44 m/s.
a) Calculate the amplitude of the motion.
b) Calculate the maximum velocity attained by the object.
Physics Waves And Oscillations Level: Misc Level
An elastic cord vibrates with a frequency of 4.1 Hz when a mass of 0.67 kg is hung from it. What is its freqency if only 0.42 kg hangs from it?
Physics Vectors Level: Misc Level
Sum of Three Vectors
The figure below shows three vectors of lengths A=68.5, B=40.4, and C=44.4. The angles are 0a=27.9% and 0b=55%, and C points along the negative y-axis.(a) Determine the length of the vector A-B+C.
(b) Calculate the angle of this vector.
Mathematics Trigonometry Level: Misc Level
The corners of an equilateral triangle lie on a circle of radius 2.84 m. Calculate the length of side of the triangle.
Physics Vectors Level: Misc Level
The figure below shows three vectors of lengths A=63.9, B=38.4, and C=44.6.The angles are 0a=28.0% and 0b=54.9%, and Cpoints along the negative y-axis. (a) Determine the length of the vector A-C..
(b) Calculate the angle of this vector.
Mathematics Trigonometry Level: Misc Level
A lighthouse that rises h1=50.6 ft above the surface of the water sits on a rocky cliff that extends d =20.1 ft from its base, as shown in the figure below. A sailor on the deck of a ship sights the top of the lighthouse at an angle of 0= 31.5% above the horizontal.If the sailor,s eye level is h2=14.0 ft above the water, how far is the ship from the rocks?
Physics Vectors Level: Misc Level
A basketball player runs down the court, following the path indicated by the vectors A,B,and C in the figure below. The magnitudes of these three vectors are A=11.1 m,B=22.8 m,and C=6.95 m. And as shown, 01=45.8% and 02=27.7% (a) Calculate the magnitude of the net displacement of this player.
b) What is the direction of the displacement of this player? Give the angle counterclockwise relative to the right.
