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1) A rectangular plate has a length of (24.0 ± 0.2) cm and a width of (9.4 ± 0.1) cm. Calculate the area of the plate, including its uncertainty?
2) Carry out the following arithmetic operations. (Give your answers to the correct number of significant figures.)
(a) the sum of the measured values 756, 37.2, 0.83, and 2
(b) the product 0.003 2 ? 356.3
(c) the product 5.620 ? π
3) A rectangular building lot has a width of 69.0 ft and a length of 123 ft. Determine the area of this lot in square meters.
4) Suppose your hair grows at the rate 1/31 in. per day. Find the rate at which it grows in nanometers per second. Because the distance between atoms in a molecule is on the order of 0.1 nm, your answer suggests how rapidly layers of atoms are assembled in this protein synthesis.
a cube is located with one corner situated at the origin of an x y z coordinate system. one of the cubes faces lies in
a woman stands on a scale in a moving elevator. her mass is 70.5 kg and the combined mass of the elevator and scale is
Consider an ideal gas contained in a confined volume. How would the pressure of the gas change if..The number of molecules of the gas was double, without changing the container or the temperature?
You attach a meter stick to an oak tree, such that the top of the meter stick is 2.67 meters above the ground. how high above the ground was the acorn before it fell
Using a highly sensitive parabolic sound collector, Amy records the frequency of a tuning fork as it drops into the Grand Canyon. She drops the vibrating tuning fork from rest at t=0. She records a frequency of 1657.0 Hz at t=6.400 s. What is the ..
A potential energy function for a two-dimensional force is of the form U = 3.89x3 y - 5.96x. Calculate the force that acts at the point (1.28m,1.17m). Enter the x-component first and then the y-component.
A solar collector that can provide 1.0W of power forcharging the 3.0V batteries. What is the maximum charging current the solar collector could supply to fully discharged 3.0V bateries.
A 75-W, 110-V bulb is connected in parallel with a 40-W, 110-Vbulb. What is the net resistance
For a step-down transformer, the input voltage is 120V (rms) and output is to be 6v (rms). What should be the number of turns on the secondary side of the transformer, if the number of turns on the primary side is 200
Gas is enclosed in a cylinder with a movable piston on top of it. Find how much work is done on the gas as the temperature of 0.240 mol of the gas is raised from 24.0°C to 350°C
A man heats up a can of soup on a stove. If he does 200 Joule of work on the soup by stirring it as the burner adds 950 Joule of heat, find what the change in its internal energy
A particle of mass 0.5 gram charge of 2.5 x 10-8 C and a speed 6 x 10-4 meter per second, find the magnitude and direction the magnetic field capable of maintaining minimum particle moving horizontally
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