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Collectible coins are sometimes plated with gold to enhance their beauty and value. Consider a commemorative quarter-dollar advertised for sale at $4.98. It has a diameter of 24.3 mm, a thickness of 1.78 mm, and is completely covered with a layer of pure gold 0.149 µm thick. The volume of the plating is equal to the thickness of the layer multiplied by the area to which it is applied. The patterns on the faces of the coin and the grooves on its edge have a negligible effect on its area. Assume the price of gold is $19.7 per gram.
(a) Find the cost of the gold added to the coin.
(b) Does the cost of the gold significantly enhance the value of the coin? (explain your answer)
An Airbus A310 is initially moving down the runway at 4.5 m/s preparing for takeoff. The pilot pulls on the throttle so that the engines give the plane a constant acceleration of 1.6 m/s2
The maximum gauge pressure in a hydraulic lift is 15.0atm. What is the largest size vehicle (kg) it can lift if the diameter of the output line is 30.1cm
a hoop is rolling without slipping along a horizontal surface with a speed of 4.5 m/s when it starts up a ramp that makes an angle 25 degrees with the horizontal. What is the speed of the hoop
A 50-m length of wire is stretched horizontally between two vertical posts, Find the magnitude of the earth's magnetic field at the location of the wire, assuming the field makes an angle of 67.0° with respect to the wire
On a drive from your home to town, you wishto average 33.6 mph. The distance from yourhome to town is 90miles. However, at 45miles(half way), you find you have averaged only25.2 mph.
A typical digital cell phone emits radio waves with a frequency of 1.9 GHz. how many photons are emitted each second
Two capacitors are identical, except that one is empty and the other is filled with a dielectric (k = 5.0). What must be the potential difference across the plates of the capacitor filled with a dielectric
The two most prominent wavelengths in the light emitted by a hydrogen discharge lamp are 656 nm(red) and 486 nm (blue). What is the distance between the first-order red and blue fringes? (d=)
The black hole at the center of the Milky way galaxy is estimated to contain about 4 million solar masses. (msun= 2 x 1030 kg), What is the Schwarzchild radius of our galaxy's black hole
A block of mass slides on a frictionless tabletop. It is connected to a string that passes over a pulley and suspends a mass (Figure 1) . Suppose that the mass on the frictionless tabletop has the value = 2.30 kg Find the value of that gives an ac..
q1. an electric circular saw is designed to reach its final angular speed starting from rest in 1.40 s. its average
A circus performer stretches a tightrope between two towers. He strikes one end of the rope and sends a wave along it toward the other tower. find the tension in the tightrope
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