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You can use the radio waves generated by a hydrogen maser as a standard of frequency. The frequency of these waves is 1,420,405,751.786 Hertz. (A Hertz is another name for one cycle per second.) A clock controlled by a hydrogen maser is off by only 1 s in 100,000 years. For the following questions, use only three significant figures. (The large number of significant figures given for the frequency simply illustrates the remarkable accuracy to which it has been measured.)
(a) What is the time for one cycle of the radio wave?
(b) How many cycles occur in 1 h?
(c) How many cycles would have occurred during the age of the earth, which is estimated to be 4.6 × 109 years?
(d) By how many seconds would a hydrogen maser clock be off after a time interval equal to the age of the earth?
A 1.50 kg box (position is given in meters and time is given in seconds) slides on ice for 1.5 seconds and then encounters a rough surface. Find out the momentum at the start of the animation. Is momentum conserved during the first 1.5 seconds? Is..
A 10.2-g bullet is fired into a stationary block of wood having mass m = 4.92 kg. The bullet imbeds into the block. What was the original speed of the bullet
Write down the original position of the system
A drug prepared for a patient is tagged with 9943Tc, which has a half-life of 6.05 h. What is the decay constant of this isotope
A mass is oscillating on a spring with a period of 4.6s. At t=0s the mass has zero speed and its x = 8.3 cm. What is the acceleration at t=2.5s
A woman holds a tube of lipstick 2.3 cm from a spherical mirror and notices that the image of the tube is upright and one fifth its normal size, Determine the position of the image. Is it in front of or behind the mirror
A cannonball is shot (from ground level) with an initial horizontal velocity of 41.0 m/s and an initial vertical velocity of 21.0 m/s. find the initial angle of the cannonball with respect to the ground
A particle of charge Q is fixed at the origin of an xy coordinate system. At t = 0 a particle (m = 0.897 g, q = 3.51 µC is located on the x axis at x = 15.4 cm, moving with a speed of 72.2 m/s in the positive y direction. For what value of Q (in ?..
Suppose the cloud of atoms is cooled to one micro-Kelvin. Calculate the root mean square speed of the rubidium atoms. [The atoms are at such low density that they remain in a (metastable) gas phase].
When a rectangular metal tank is filled to the top with an unknown liquid, observer O, with eyes level with the top of the tank, can just see corner E. what is the index of refraction of the liquid
A parallel plate capacitor has a potential difference between the plates of 80 V. If the charge on one of the plates of the capacitor is +8.0 ?C, what is the electrical energy stored by this capacitor
a moving 4.30 kg block collides with a horizontal spring whose spring constant is 346 nm. the block compresses the
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