Physics Homework Solutions

Velocity of Propagation of Wave

A wave passes an observer who wishes to know its velocity of propagation. The observer experimentally determies that its wavelength is 2 meters and its frequency is 75Hz. What velocity of propagation does the observer infer?

Equation of motion

Find the equation of motion for a particle at x=6.1 for a transverse sine wave with frequency 208 Hz and amplitude .233 meters, if the wave propagates in the x directon at 68 m.s, provided the particle at x=0 has equation of motion y=A sin('omega t).

time dilation

Does time dilation mean that time actually passes more slowly in a moving inertial reference frame, or that it seems to move slower? Would a mechanical clock be affected by time dilation? If you are traveling away from Earth at 0.7c does your heart rate slow down?

relativity

Would it be valid, in accordance with relativity, to claim that the sun rotated around the earth instead of the earth rotating around the sun?

special theory of relativity

Suppose the speed of light were infinite, what would happen to the Special Theory of Relativity (length contraction, time dilation and Lorentz transforms)?

relativistic formulas

At what velocities do the relativistic formulas for length contraction and time dilation give a 1% difference from classical values?

doppler shift

A certain galaxy has a Doppler shift given by fo - f = 2/3 fo . How fast is it moving away from us?

relativistic problem

Two relativistic electrons are ejected simultaneously from a piece of potassium in opposite directions each is traveling with a speed of 0.5c with respect to the metal. a) what is the velocity of electron 1 with respect to electron 2? b) what is the velocity of electron 2 with respect to electron 1?

Scientific Measurement Question

Question: A thermocouple is a type of sensor which produces a voltage that increases as temperature increases. The table below gives voltage measurements for one type of thermocouple. Voltage (mV) 0 0.8 1.6 2.4 3.3 4.1 4.9 5.7 Temperature (degrees) 0 20 40 60 80 100 12 ...continues

An electric kettle is filled with ice water at 0 degrees celsius.

Question: An electric kettle is filled with ice water at 0 degrees celsius. and the heater switched on. The temp is recorded at 5 second intervals. Data is shown below. Temp T (degrees) 0 4.9 9.5 13.9 18.1 22.1 25.9 29.5 Time t (sec) 0 5 10 15 20 25 30 35 a) Plot ...continues

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