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1-A swimmer wants to swim straight across a river with current flowing at a speed of v1 = 0.27 km/h. If the swimmer swims in still water with speed v2 = 0.81 km/h, at what angle should the swimmer point upstream from the shore and at what speed v will the swimmer swim across the river?
2-In the 1887 experiment by Michelson and Morley, the length of each arm was 11 m. The experimental limit for the fringe shift was 0.005 fringes. If sodium light was used with the interferometer ( λ = 589 nm), what upper limit did the null experiment place on the speed of the Earth through the expected ether?
3-Astronomers discover a planet orbiting around a star similar to our sun that is 15 light years away. How fast must a rocket ship go if the round trip is to take no longer than 30 years in time for the astronauts aboard? How long will the trip take as measured on Earth?
4-A spaceship is moving at a speed ot 0.7c away from an observer at rest. A boy in the spaceship shoots a proton gun with protons having a speed of 0.8c.
(a) What is the speed of the protons measured by the observer at rest when the gun is shot away from the observer? (b) What is the speed of the protons measured by the observer at rest when the gun is shot toward the observer?
A woman who can row a boat at 7.3 km/h in still water faces along, straight river with a width of 6.8 km and a current of 3.3km/h. Let point directly across the river and point directly downstream. If she rows in astraight line to a point directly..
Friction and air resistance are negligible. Illustrate what speed does the ball have when the cable makes an angle of 30 degrees with respect to the vertical?
a 5.00-kg object is hung from the bottom end of a vertical spring fastened to an overhead beam. the object is set into
Two forces are applied to a block of mass M = 14.0 kg that sits on a horizontal, frictionless table. One force Fs 1 has a magnitude of 10.0 N and is directed at an angle u1 equal to 37.0° from the x direction as labelled in Figure 4-27. As a result o..
Suppose you are looking down at the earth from inside a jetliner flying at a cruising altitude of 10,000m. The pupil of your eye has a diameter of 2.0mm, and the average refractive index of the material in the eye is 1.36.
An ideal battery of emf = 16 V, a resistor of resistance R = 4.4 Ω, and an uncharged capacitor of capacitance C = 6.1 μF. After switch S is closed, what is the current through the resistor when the charge on the capacitor is 8.8 μC?
An 8 Ohm speaker is connected across the output terminals of a power amplifier that delivers 72 W. What is the current supplied to the speaker
A mass m = 6.3 kg hangs on the end of a massless rope L = 1.98 m long. The pendulum is held horizontal and released from rest. How fast is the mass moving at the bottom of its path
a sinusoidal sound wave is described by the displacement sxt sm coskx - omegat where sm 4.89 mum k 12.4 radm and
The position of a particle is given by x = 3.9 cos pi t , where x is in meters and t is in seconds. Discover the speed and acceleration of the particle when x = 2.3 m. Discover the maximum speed and maximum acceleration of the particle.
Three spheres, each with a negative charge of 4.0 X 10^-6 C, are fixed at the vertices of an equilateral triangle whose sides are 0.20 m long. Compute the magnitude and direction of the net force on each sphere.
a cloud that is about to unleash a lightning bolt has a charge of 24 coulombs. in stormy weather powerful updrafts of
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