3. An astronaut is standing on an unknown planet. If he estimates the planet is 2.505 x 10°m in radius and he can drop a ball of mass 0.250kg and it falls from a height of 8.00m in 1.71s, what is the mass of the planet?
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- A Texas rancher wants to fence off his four-sided plot of flat land. He measures the first three sides, shown as A, B, and C in the figure below, where A = 4.20 km and 0 10c = 19⁰. 0 + D = ? km D = y + A + B + C + D = 0 C e= ? 7.5⁰ A = 4.20 km C = 3.02 km 19⁰ A X km X ° west of south B 16° W ZA N He then correctly calculates the length in kilometers and orientation in degrees west of south of the fourth side D. What is his result in kilometers and degrees west of south? D = S X B = 2.48 km ECalculate the mass (in SI units) of a 140 lblb human being. Express your answer with the appropriate units.2.
- T The total surface area, A, of the cylinder can be expressed as A = (a) Find the value of k. (b) Find the value of that makes the total surface area a minimumIn 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 ?The Statue of Liberty in New York City is approximately 305 ft305 ft tall. How many U.S. dimes would be in a stack of the same height? Each dime is 1.35 mm1.35 mm thick. number of dimes: Each dime has a mass of 2.268 g.2.268 g. How much would the stack of dimes from the previous question weigh? mass: g What is the value, in dollars, of the same stack of dimes? value: dollars The 2017 U.S. gross domestic product (GDP) was valued at 19,390,604,000 dollars.19,390,604,000 dollars. How many Statue of Liberty‑height stacks of dimes are needed to match the GDP in value? number of stacks: