If you make multiple measurements of your height, you are likely to find that the results vary by nearly half an inch in either direction due to measurement error and actual variations in height. You are slightly shorter in the evening, after gravity has compressed and reshaped your spine over the course of a day. One measurement of a man's height is 6 feet and 1 inch. Express his height in meters, using the appropriate number of significant figures.
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- The speed v of an object is given by the equation v = A * t ^ 3 - Bt where I refers to time. (a) What are the dimensions of A and B? (b) What are the SI units for the constants A and B?Each of the following equations was given by a student during an examination 1/2 mv^2=1/2 mv_0^2+√mgh v=v_0+at^2 ma=v^2 Do a dimensional analysis of each equation and explain why the equation can’t be correct. (Hint: Determine the dimensions on each side of the equation and compare them.)The length and width of a rectangular room are measured to be 3.885 ± 0.0065 m and 3.2 ± 0.0045 m. In this problem you can approximate the error on a product or quotient of quantities by the sum of the percent error on each quantity.Calculate the floor area of the room in square meters.
- The base of a pyramid covers an area of 12.8 acres (1 acre = 43,560 ft²) and has a height of 471 ft. If the volume of a pyramid is given by the expression V = bh/3, where b is the area of the base and h is the height, find the volume of this pyramid in cubic meters. m³ ⒸSylvain Grandadam/Photo Researchers, Inc.The micrometer (1 um) is often called the micron. (a) How many microns make up 3.8 km? (b) How many centimeters equal 3.8 um? (c) How many microns are in 3.8 yd? (a) Number 3.8x10^9 Units microns or um (b) Number 3.8x10^-4 Units cm (c) Number 3474720 Units mmAcre-feet (af) is a unit that some non-scientists unwisely use to measure volume of liquids. By definition 1 acre foot is one foot multiplied by 1 acre. 1 acre is equal to about 4 × 104 ft2 . 1. How many cubic feet are in an acre-foot?
- 3.Newton's law of universal gravitation can be expressed by the equation F = G Mm r2 , where F is the gravitational force, M and m are masses, and r is a length. Force has the SI units kg · m/s2. What are the SI units of the proportionality constant G?A rectangle has a length of (5.1 ± 0.2) m and a width of (2.3 ± 0.1) m. Calculate: (a) the area and (b) the perimeter of the rectangle, Give the uncertainty in each value.
- U.S. football field is 120 yards long (including the end zones). How long is the field in the following units of measurement? (a) meters (b) millimeters mm (c) feet ft (d) inches inIn 1999, NASA lost the Mars Climate Orbiter because one group of engineers used metric units in their calculations while another group used English units. Consequently, the orbiter descended too far into the Martian atmosphere and burned up. Suppose that the orbiter was to have established orbit at 157 km and that one group of engineers specified this distance as 1.57 x 10³ m. Suppose further that a second group of engineers programmed the orbiter to go to 1.57 x 10³ ft. The $125 million Mars Climate Orbiter was lost in the Martian atmosphere in 1999 because two groups of engineers failed to communicate with each other about What was the difference in kilometers between the two altitudes? Express your answer with the appropriate units. Value Submit HA Provide Feedback Part B Complete previous part(s) Units Request Answer ?A person walks 4 m to the park, then he walks 8200 km in the park then he returns back to home after grocery shopping and covers 720 cm, how much total distance that person covers in m?