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The length of a simple pendulum is 0.55 m and the mass of the particle (the "bob") at the end of the cable is 0.32 kg. The pendulum is pulled away from its equilibrium position by an angle of 5.1 ° and released from rest. Assume that friction can be neglected and that the resulting oscillatory motion is simple harmonic motion. (a) What is the angular frequency of the motion? (b) Using the position of the bob at its lowest point as the reference level, determine the total mechanical energy of the pendulum as it swings back and forth. (c) What is the bob's speed as it passes through the lowest point of the swing? A stone has a mass of 3.41 g and is wedged into the tread of an automobile tire, as the drawing shows. The coefficient of static friction between the stone and each side of the tread channel is 0.972. When the tire surface is rotating at 16.6 m/s, the stone flies out of the tread. The magnitude FN of the normal force that each side of the tread channel exerts on the stone is 1.58 N. Assume that only static friction supplies the centripetal force, and determine the radius r of the tire (in terms of m). Two newly discovered planets follow circular orbits around a star in a distant part of the galaxy. The orbital speeds of the planets are determined to be 43.0 km/s and 62.9 km/s. The slower planet's orbital period is 6.87 years. (a) What is the mass of the star? (b) What is the orbital period of the faster planet, in years? A roller coaster at an amusement park has a dip that bottoms out in a vertical circle of radius r. A passenger feels the seat of the car pushing upward on her with a force equal to 2.22 times her weight as she goes through the dip. If r = 25.9 m, how fast is the roller coaster traveling at the bottom of the dip?
A 400 g baseball thrown with a velocity of 40 m/s is hit straight back at the pitcher with a velocity of -50m/s. What is the change in momentum of the ball? What is the impulse exerted on the ball by the bat?
A car has its 0.45m long radio antenna oriented vertically upward and is traveling at highway speeds of 70 mph. Calculate the range of induced emf on the antenna
an airplane flies 200 km due west from city a to city b and then 285 km in the direction of 32.5deg north of west from
a child tosses a stick into a stream. the stick moves downstream at a rate of 1.5 ms. how fast is the stick moving
q1. an antelope moving with constant acceleration covers the distance 79.0 m between two points in time 6.70 s. its
In a particular beta-minus decay of a free neutron (that is, one not part of an atomic nucleus), the emitted electron has exactly the same kinetic energy as the emitted electron antineutrino. What is the value, in MeV, of that kinetic energy? Assume ..
A two meter long string is wrapped around the outside edge and the ring is dropped allowing the string to unwind as the ring falls. Find the speed of the ring after it reaches the end of the string
If an R = 1.0-k? resistor, a C= 1.0-µF capacitor, and an L = 0.20-H inductor are connected in series with a V = 150 sin (377t) volts source
A diverging lens has a focal length of 40.7 cm. If an object is 31 cm from the lens, what is the image distance? Answer in units of cm. Also, What is the magnitude of the magnification for this lens?
In a defribrillator, which delivers the electric energy stored in the 175x10^-6F capacitor to restore the heart's regular beating, find the energy stored in the charged-up defribrillator
steam enters a turbin operating at steady state with a mass flow rate of 4600kg hr-1 . the turbin develops a power
A 1.0 µF capacitor is connected in parallel with a 2.4 µF capacitor, What is the equivalent capacitance of this combination
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