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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.
Find the acceleration due to gravity of a steel ball in water and in mercury. Density of steel ball is 7.86 g.cm3, density of water is 1 g/cm3 and density of mercury is 13.6 g/cm3.
Two spherical objects with a mass of 5.89 kg each are placed at a distance of 2.16 m apart. How many electrons need to leave each object
If the mass of a wheel is increased by a factor of 6, by what factor is the moment of inertia increased
In an experiment designed to measure the speed of light, a laser isaimed at a mirror that is 59.0 km due north. A detector is placed138 m due east of the laser. The mirror is to be aligned so that light from the laser refelects into the detector.
A rod is 2.40 m long and has a diameter of 2.50 mm. A force of 2000 N is applied to the end to stretch the rod by 1.40 mm. What is the Young's modulus for this rod
A baseball has a velocity of 43.6 m/s (97.5 mi/h), directed horizontally, as it is released by a pitcher. Calculate the ball's instantaneous acceleration just before it is released
A 5 kilogram mass attached to a horizontal spring is pulled from its equilibrium position by 2 meter and let go. find what is the maximum velocity of the mass
A rifle bullet with mass 8.00 g strikes and embeds itself in ablock with mass 0.992 kg that rests on a frictionless, What was the initial speed of the bullet
An aircraft performs a maneuver called an aileron roll. During thismaneuver, the plan turns like a screw as it maintains a straightflight path, but using its ailerons to set the wings in circularmotion.
A car drives north at 32mi/h for 10 min and then turns east and goes 5.0 mi at 56mi/h. Finally, it goes southwest at 40mi/h for 6.0 min. Determine its average velocity for this trip
A hot-air balloon is ascending at the rate of 11 m/s and is 68 m above the ground as a package is dropped over the side. How long does it take to reach the ground.
High voltage power lines are a familiar sight throughout the country. Find the resistance of ten kilometers of this wire
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