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Consider a pendulum suspended at some location on the Earth. The length of the pendulum can be taken to be much shorter than the radius of the Earth. Approximate the Earth as a sphere. Find an equation for the angle, alpha , that the pendulum makes with the radial direction to the center of the Earth. Solve the equation assuming that alpha is small. At what theta is alpha maximum? What is the numerical value of the maximum alpha?
Suppose you're building a scale model of the hydrogen atom, and the nucleus is represented by a ball of radius 3.2 cm (about the radius of a baseball)
The mass of a star is 1.75·1031 kg and it performs one rotation in 37.3 days. Find its new period (in /days) if the diameter suddenly shrinks
A particle with a mass of 3.5 × 10-20 kg is oscillating with simple harmonic motion with a period of 1.9 × 10-5 s and a maximum speed of 3.9 × 103 m/s. estimate the maximum displacement of the particle
An electric vehicle starts from rest and accelerates at a rate a1 in a straight line until it reaches a speed of v. How much time elapses from start to stop
Two converging lenses having focal lengths of f1 = 10.5 cm and f2 = 20.0 cm are placed d = 50.0 cm apart. Is the final image upright or inverted
A sinusoidal force with an amplitude of 1.70 N drives the system. At what frequency will the force make the object vibrate with an amplitude of 0.440 m
Three electrons are located at the vertices of an equilateral triangle, one at each vertex, find the magnitude of the net electrostatic force on each electron
When a guitar string is sounded along with a 441-Hz tuning fork, a beat frequency of 4.00 Hz is heard. When the same string is sounded along with a 437-Hz tuning fork, beat frequency is 8.00 Hz. What is the frequency of the string.
A capacitor is made from two hollow, coaxial, iron cylinders, one inside the other. The inner cylinder is negatively charged and the outer is positively charged; the magnitude of the charge on each is 10.0pCpC .
The mass of a newborn baby's brain has been found to increase by about 1.6 mg per minute. How much does the brain's mass increase in one day
When the concave side is used as a mirror, the magnification is +2.9. What is the magnification when the convex side is used as a mirror, the object remaining the same distance from the mirror
A sound wave with intensity 39 mW/m2 interferes constructively with a sound wave that has an intensity of 12 mW/m2. What is the intensity of the superposition of the two
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