Physics Rotational Mechanics Level: High School
Apparent Weight
Objects that are at rest relative to the Earth’s surface are in circular motion due to Earth’s rotation .a) What is the centripetal acceleration of an object at the equator ?
b) Is the object’s apparent weight greater or less that its weight ?
c) By what percentage does the apparent weight differ from the weight at the equator ?
Physics Force & Laws Of Motion Level: High School
Tension in a String
A pendulum (see the figure at “click here”) is 0.800 m long and the bob has a mass of 1.00 kg . When the string makes an angle of theta = 15.0 degree with the vertical , the bob is moving at 1.40 m/s . Let g = 9.80 m/s^2 . Find the tangential and centripetal acceleration components and the tension in the string . [Draw an FBD for the bob . Choose the x-axis to be tangential to the motion of the bob and y-axis to be centripetal. Apply Newton’s second law.]
Physics Force & Laws Of Motion Level: High School
Banking of roads
A curve in a stretch of a highway has radius R , The road is banked at angle theta , to the horizontal . The coefficient of static friction between the tires and road is micro s . What is the fastest speed that a car can travel through the curve ?
Physics Kinematics Level: High School
Projectile Motion
The range R of a projectile is defined as the magnitude of the horizontal displacement of the projectile when it returns to its original altitude . In other words, the range is the distance the projectile will travel on flat ground . A projectile is launched at t = 0 which initial speed v theta at an angle theta , above the horizontal .a) Find the time t at which the projectile returns to its original altitude
b) What value of theta , gives the maximum range ? what is this maximum range ?
Physics Kinematics Level: High School
Relative Velocity
A pilot starting from Athens, New York , wishes to fly to Sparta , New York , which is 320 km from Athens in the direction 20.0 degree N of E . The pilot heads directly for Sparta and flies at an airspeed of 160 km/h . After flying for 2.0 h , the pilot expects to be at Sparta , but instead he finds himself 20 km due west of Sparta . He has forgotten to correct for the wind .a) What is the velocity of the plane relative to the air ?
b) Find the velocity (magnitude and direction) of the plane relative to the ground .
c) Find the wind speed and direction .
Physics Kinematics Level: High School
Projectile Motion
A marble is rolled so that it is projected horizontally off the top landing of a staircase . The initial speed of the marble is 3.0 m/s . Each step is 0.18 m high and 0.30 wide . Which step does the marble strike first ?
Physics Force & Laws Of Motion Level: High School
Tension in a string
A 45-N lithograph is supported by two wires . One wire makes a 25 degree angle with the vertical and the other makes a 15 degree angle with the vertical . Find the tension in each wire .
Physics Force & Laws Of Motion Level: High School
Tension in a string
A pulley is hung from the ceiling by a rope. A block of mass M is suspended by another rope that passes over the pulley and is attached to the wall (the figure below) . The rope fastened to the wall makes a right angle with the wall . Neglect the masses of the rope and the pulley . Find ,a) The tension in the rope from which the pulley hangs and
b) The angle theta , that the rope makes with the ceiling .
Physics Properties Of Matter Level: High School
Fluids-Torricelli’s Theorem The water level in a 15.0 cm diameter cylinder is maintained at a constant height of 0.45 m . If the diameter of the spout pipe is 0.50 cm , how high is the vertical stream of water ? (Assume that water is an ideal fluid.)
Physics Rotational Mechanics Level: High School
Torque
A projected space station consists of a circular tube that is set rotating about its center (like a tubular bicycle inner tube) . The circular formed by the tube has a inner diameter of 1.5 km and an outer diameter of 1.6 km. Where will the people inhabit this space station ? What must the rotation speed be if an effect to Earth’s gravity at the surface is to be felt by its occupants ? What torque must be applied to the space if it is to attain this speed from rest in two hours and the mass of the rotation is 187,016 kg ?
Physics Waves And Oscillations Level: High School
A wave traveling along a string is described by y (x,t) = (0.00327m) sin[72.1 rad/m) x- (2.72 rad/s)t] where y(x,t) represents the transverse displacement from equilibrium of a small piece of string with a horizontal location of x at a time t .a) What are the amplitude , wavelength, period, and frequency of this wave ?
b) What is the velocity of this wave in the x direction ?
c) What is the displacement y of the small piece of string located at x = 0.225 m, at t = 18.9 s ?
d) What is the transverse component of acceleration at 18.9 s ?
Physics Waves And Oscillations Level: High School
Doppler Effect
A French submarine and a U.S . submarine move toward each other during maneuvers in motionless water in the North Atlantic . The French sub moves at 50.0 km/h and the U.S. sub at 70.0 km/h . The French sub sends out a sonar signal (sound wave in water) at 1000 Hz . Sonar wave travel at 5470 km/h .a) What is the signal’s frequency as detected by the U.S. sub ?
b) What is the frequency detected by the French sub in the signal reflected back to it by the U.S. sub ?
Physics Waves And Oscillations Level: High School
SHM
A mass of 0.100 kg oscillates in simple harmonic motion as shown in the drawing . Its vertical displacement from the equilibrium position is described by the expression y = 0.040 cos (omega t) .If the period T of the oscillations is 0.11 s and the mass of the spring is very much smaller than the attached mass .a) What is the total energy of the oscillating system ?
b) At what times during the first complete oscillation is the total mechanical energy equal to the potential energy ?
Physics Waves And Oscillations Level: High School
Intensity of sound
In 1976 , the “Who” set a record for loudest concert- the sound level 46m in front of a speaker was beta 2 = 120 dB . What is the ratio of the intensity I2 of the band at that spot to the intensity I1 of a jackhammer operating at a sound level beta 1 = 92 dB ?
Physics Waves And Oscillations Level: High School
Standing waves in a string
Oscillation of a 600 Hz tuning fork sets up standing waves in a string clamped at both ends . The wave speed for the string is 400 m/s . The standing wave has four loop and an amplitude of 2.0 mm .a) What is the length of the string ?
b) What is the equation of the displacement of the string as a function of position and time ?
