(a) Conversion: 1 mile (mi) = 1.609344 kilometers (km) OR l kilometer (km) = 0.6

Question

(a) Conversion: 1 mile (mi) = 1.609344 kilometers (km) OR l kilometer (km) = 0.621371 mi The average distance from the center of the Earth to the center of the Moon is 238,857 miles. Convert miles to kilometers. Round your answer to the nearest mile (NO decimal places). Express your answer as a regular (aka floating point number); do NOT use scientific notation).

Ans. (a): ____________________________________________ km [4 pts]


(b) Conversion: 1 Astronomical Unit (AU) = 149,597,870 kilometers (1.49597870 × 108 km) The average distance to the planet Saturn is 9.529 AU. Convert AU’s to kilometers. Round your answer to 2 decimal places. Express your answer in SCIENTIFIC NOTATION (e.g., 2.52 106).

Ans. (b): ____________________________________________ km [4 pts]


(c) Conversion: K is Kelvin; °C is Celsius; °F is Fahrenheit Astronomers use the Kelvin scale. Note that the degree symbol is not used with Kelvin degrees. From Kelvin to Celsius: [°C] = [K] 273.15; From Celsius to Kelvin: [K] = [°C] + 273.15 From Kelvin to Fahrenheit: [°F] = [K] 95 459.67; From Fahrenheit to Kelvin From Celsius to Fahrenheit: [°F] = [°C] 95 + 32; From Fahrenheit to Celsius: [°C] = ([°F] 32) 59 Humans radiate heat energy in the infrared part of the electromagnetic spectrum at about 310 K. How many degrees is this in Celsius and Fahrenheit? [4 pts] Round each answer to 1 decimal place. Express each answer as a regular number.

Ans. (c): ________________________________________°C and ________________________________________°F


(d) Conversion: 1 parsec (pc) = 3.26 l-y = 3.085678 1013 km M4, the closest globular cluster to Earth is found in the constellation Scorpius. M4 is 7,000 l-y distant. Convert that distance in light-years to kilometers and parsecs. [6 pts] Round each answer to 2 decimal places. Express both answers in SCIENTIFIC NOTATION (e.g., 2.52 106). Hint: Convert light-years to parsecs first; then convert parsecs to kilometers.

Ans. (d): _______________________________________ km _______________________________________ pc



Use the conversion factors exactly as shown here
Be sure to convert your answer here to scientific notation.

Explanation / Answer

Given

(a)

1 mile (mi) = 1.609344 kilometers (km) OR l kilometer (km) = 0.621371 mi

The average distance from the center of the Earth to the center of the Moon is 238,857 miles.

so The average distance from the center of the Earth to the center of the Moon is 238,857 miles in km is

238857 miles= 238857*1.609344 km = 384403 km

(b)1 Astronomical Unit (AU) = 149597870 kilometers = 1.49597870*10^8 km

The average distance to the planet Saturn is 9.529 AU

so 9.529 AU = 9.529*1.49597870*10^8 km = 1425518103.23 km

1425518103.23 km = 1.43*10^9 km

(c)

From Kelvin to Celsius: [°C] = [K] 273.15

From Kelvin to Fahrenheit: [°F] = [K] 95 459.67

given temperature is T = 310 k

so

we know that 1 0C = 273.15 k ==>310 k = 310 - 273.15 0C = 36.85 0C

so 310 k = 36.9 0C ( rounded to one decimal point)

0F = K*9/5 - 459.67 = 310*9/5 - 459.67 = 98.33 0F

so 310 k = 98.3 0F (rounded to one decimal point)

(d)1 parsec (pc) = 3.26 l-y = 3.085678*10^13 km

so 3.26 l.y = 3.085678*10^13 km ==> 1 l.y = 3.085678*10^13 km/(3.26) = 9.4652699386503*10^12 km

and 1 pc = 3.085678*10^13 km

M4, the closest globular cluster to Earth is found in the constellation Scorpius. M4 is 7,000 l-y distant.

7000 ly = 7000*9.4652699386503*10^12 km = 6.6256889570552*10^16 km = 6.63*10^16 km

1 pc = 3.085678*10^13 km ===>6.63*10^16 km = 6.63*10^16 km *1p.c/3.085678*10^13 km = 2148.636377483328 p.c = 2.15*10^3 p.c

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.