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Chapter 1: 40P (page 1)
A can of sardines is made to move along an x axis from to by a force with a magnitude given by with x in meters and Fin newtons. (Here exp is the exponential function.) How much work is done on the can by the force?
The work done on the can by the force is, 0.21 J.
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The cubit is an ancient unit of length based on the distance between the elbow and the tip of the middle finger of the measurer. Assume that the distance ranged from , and suppose that ancient drawings indicate that a cylindrical pillar was to have a length of and a diameter of . For the stated range, what are the lower value and the upper value, respectively, for (a) the cylinder鈥檚 length in meters, (b) the cylinder鈥檚 length in millimeters, and (c) the cylinder鈥檚 volume in cubic meters?
An object is tracked by a radar station and determined to have a position vector given byin meters and tin seconds. The radar station鈥檚 xaxis points east, its yaxis north, and its zaxis vertically up. If the object is a 250 kg meteorological missile, what are (a) its linear momentum, (b) its direction of motion, and (c) the net force on it?
A cord is a volume of cut wood equal to a stack 8 ft long, 4 ft wide, and 4 ft high. How many cords are in?
Time standards are now based on atomic clocks. A promising second standard is based on pulsars, which are rotating neutron stars (highly compact stars consisting only of neutrons). Some rotate at a rate that is highly stable, sending out a radio beacon that sweeps briefly across Earth once with each rotation, like a lighthouse beacon. Pulsar PSR 1937 + 21 is an example; it rotates once every 1.557 806 448 872 753 ms, where the trailing3 indicates the uncertainty in the last decimal place (it does not mean3 ms). (a) How many rotations does PSR 1937 + 21 make in 7.00 days? (b) How much time does the pulsar take to rotate exactly one million times and (c) what is the associated uncertainty?
Question: The fastest growing plant on record is a Hesperoyucca whipplei that grew 3.7 m in 14 days. What was its growth rate in micrometers per second?
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