What is an example of each of the principles, Complimentary, Correspondence, Equivalence, Uncertainty and Exclusion?

An oscillator consists of a block attached to a spring (k = 490 N/m). At some time t, the position (measured from the system's equilibrium location), velocity, and acceleration of the block are x = 0.107 m, v = -16.6 m/s, and a = -103 m/s2. Calculate (a) the frequency of oscillation, (b) the mass of the block, and (c) the amplitude of the motion.

Roughly how much plutionium-238 would be needed to run a Radioisotope thermoelectric generator for a mars rover that weighs 4000 lbs with a range of 500 mi? what would be the voltage output and the power needed? These calculations can be rough and any needed assumptions can be made. I'm just trying to get a general idea of how this could be calculated.

how is the counter movement jump related to the ground reaction force required to jump upwards?

A hollow ball of diameter D is suspended from a string of negligible mass whose length is equal to the ball’s diameter. The string is attached to the surface of the ball. Find an expression for the period of this physical pendulum in the small-amplitude approximation.

An ancient club is found that contains 150 g of pure carbon and has an activity of 5.5 decays per second. Determine its age assuming that in living trees the ratio of 14C/12C atoms is about 1.00 x 10^-12 . Note that the half life of carbon-14 is 5700 years and the Avogadro number is 6.02 x 10^23 .

A helicopter has two blades (see figure), each of which has a mass of 220 kg and can be approximated as a thin rod of length 6.7 m. The blades are rotating at an angular speed of 43 rad/s. (a) What is the total moment of inertia of the two blades about the axis of rotation? (a) Determine the rotational kinetic energy of the spinning blades.

Problem 1. In the distant future, a physics student is rushing to her final exam traveling in a spaceship at relativistic speed. She passes a policeman at rest a distance 9 km from a traffic signal (measured in his rest frame).

a) The policeman monitors the student’s tail lights (red light with λ=650 nm in her rest frame) with a spectroscope, viewing directly along her motion away from him. He observes a wavelength λ=1300 nm (infrared). What is her speed relative to the policeman?

b) How long, according to her, does it take to reach the traffic signal?

c) When the policeman stops her for running a red light she claims that she saw the traffic signal as green (i.e., λ=520 nm). Compute the wavelength she would have seen. Is she telling the truth?

20. Energy in waves. As a sine-shaped wave moves along a stretched string, each coil os the spring will execute the simple harmonic motion. Suppose that a spring with linear density µ= 0.40 kg/m has a tension T=1.6N in it and that a sine-shaped wave of amplitude 10cm and wavelength of 1.5 is moving along the sprig. Consider a 1cm segment of the spring.

a. What is the mass of the 1cm segment of the spring?

b. What is the speed of the wave along the spring?

c. What is the period of the simple harmonic motion executed by this segment of the spring?

d. Knowing the mass of the segment and the period of its simple harmonic motion, find the effective spring constant of the coil spring for transverse displacements away from its equilibrium.

e. What is the total energy of the simple harmonic oscillator of the segment?

f. There are 150 1cm segments within the 1.5-meter wavelength. What will be the total harmonic oscillation energy in one wavelength of the wave?

g. At what rate in joules/seconds (or with what power in watts) will this energy be transferred past a given point on the spring?

Compare and contrast the following pairs of rocks and explain what is the same and different, and why.

(a) Granite and Rhyolite

(b) Rhyolite and Basalt

(c) Granite and granitic gneiss

(d) Limestone and marble

An electron with a speed of 7.61 × 10⁸ cm/s in the positive direction of an x axis enters an electric field of magnitude 1.14 × 10³ N/C, traveling along a field line in the direction that retards its motion. (a) How far will the electron travel in the field before stopping momentarily, and (b) how much time will have elapsed? (c) If the region containing the electric field is 7.36 mm long (too short for the electron to stop within it), what fraction of the electron’s initial kinetic energy will be lost in that region?

A 500-loop circular armature coil with a diameter of 6.0 cm rotates at 190 rev/s in a uniform magnetic field of strength 0.60 T . What is the rms voltage output of the generator?

What would you do to the rotation frequency in order to double the rms voltage output?

A parallel plate capacitor with a plate area of 2.00cm^2, separated by a distance of 2.00mm is connected to a power supply with a potential difference of 240V. Find the capacitance and charge on each plate.