An astronomer of 65 kg of mass hikes from the beach to the observatory atop the mountain in Mauna Kea, Hawaii (altitude of 4205 m). By how much (in newtons) does her weight change when she goes from sea level to the observatory?

Answers

Answer 1

Answer:

[tex]0.845\ \text{N}[/tex]

Explanation:

g = Acceleration due to gravity at sea level = [tex]9.81\ \text{m/s}^2[/tex]

R = Radius of Earth = 6371000 m

h = Altitude of observatory = 4205 m

Change in acceleration due to gravity due to change in altitude is given by

[tex]g_h=g(1+\dfrac{h}{R})^{-2}\\\Rightarrow g_h=9.81\times(1+\dfrac{4205}{6371000})^{-2}\\\Rightarrow g_h=9.797\ \text{m/s}^2[/tex]

Weight at sea level

[tex]W=mg\\\Rightarrow W=65\times 9.81\\\Rightarrow W=637.65\ \text{N}[/tex]

Weight at the given height

[tex]W_h=mg_h\\\Rightarrow W_h=65\times 9.797\\\Rightarrow W_h=636.805\ \text{N}[/tex]

Change in weight [tex]W_h-W=636.805-637.65=-0.845\ \text{N}[/tex]

Her weight reduces by [tex]0.845\ \text{N}[/tex].


Related Questions

Determine the size of memory needed for CD recording of a piece of music, which lasts for 26 minutes, is done with a 20-bit Analog-to-Digital Converter (ADC) in stereo (2 channels), at the rate of 44.1 kSa/s, with the compression factor 6 (allow 10% error margin).

Answers

Answer: the size of memory needed for the CD recording is 28.7 MB

Explanation:

so in the case of stereo, the bitrate is;

⇒ 26 × 60 × 44.1 × 10³ × 2

=   137592 × 10³  

for 10 bit

⇒ 137592 × 10³ × 10

= 1375920 × 10³ bits

now divide by 8 (convert to bytes)

⇒ (1375920 × 10³) / 8

= 171,990,000 BYTE

divide by 1000 (convert to kilobytes)

= 171,990,000 / 1000

= 171,990 KILOBYTES

now Given that, the compression ratio is 6      

so  

171,990 / 6

= 28665 KB

we know that. 1 MB = 1000 KB

x MB = 28665 KB

x MB = 28665 / 1000

⇒ 28.665 MB ≈ 28.7 MB

Therefore the size of memory needed for the CD recording is 28.7 MB

How many flip-flop values are complemented in an 8-bit binary ripple counter to reach the next count value after: 0110111 and 01010110?

Answers

Answer:

- Four (4) flip-flop values will complemented

- one (1) flip-flop value will complemented

Explanation:

To find how many flip flop number of bits complemented, we just need to figure out what the next count in the sequence is and find how many bits have changed.

taking a look at the a) 00110111

we need to just 1 to the value,

so

00110111 +  0000001  = 00111000        

So here, only the first four bits are complemented.

Therefore Four (4) flip-flop values will complemented

Next

b) 01010110

we also add 1 to the value

01010110  + 00000001  = 01010111

only the first bit is complemented.

Therefore one (1) flip-flop value will complemented

It is desired to produce and aligned carbon fiber-epoxy matrix composite having a longitudinal tensile strength of 630 MPa. Calculate (a) the critical fiber length, and (b) the volume fraction of fibers necessary if (1) the average fiber diameter is 0.030 mm, (2) the average fiber length is 2.4 mm, (3) the fiber fracture strength is 5100 MPa, (4) the fiber-matrix bond strength is 17 MPa, (5) the matrix stress at fiber failure is 17.5 MPa.

Answers

Answer:

The answer is below

Explanation:

Given that:

Diameter (D) = 0.03 mm = 0.00003 m, length (L) = 2.4 mm = 0.0024 m, longitudinal tensile strength [tex](\sigma_{cd})=630\ MPa = 630*10^6\ Pa[/tex], Fracture strength

[tex](\sigma_f)=5100\ MPa=5100*10^6\ Pa,fiber-matrix\ stres(\sigma_m)=17.5\ MPa=17.5*10^6\ Pa,matrix\ strength=\tau_c=17\ MPa=17 *10^6\ Pa[/tex]

a) The critical length ([tex]L_c[/tex]) is given by:

[tex]L_c=\sigma_f*(\frac{D}{2*\tau_c} )=5100*10^6*\frac{0.00003}{2*17*10^6}=0.0045\ m=4.5\ mm[/tex]

The critical length (4.5 mm) is greater than the given length, hence th composite can be produced.

b) The volume fraction (Vf) is gotten from the formula:

[tex]\sigma_{cd}=\frac{L*\tau_c}{D}*V_f+\sigma_m(1-V_f)\\\\V_f=\frac{\sigma_{cd}-\sigma_{m}}{\frac{L*\tau_c}{D}-\sigma_{m}} \\\\Substituting:\\\\V_f=\frac{630*10^6-17.5*10^6}{\frac{0.0024*17*10^6}{0.00003} -17.5*10^6} \\\\V_f=0.456[/tex]

eggzOG43199



:) it has to be more than 20 characters so I'm just saying this

Answers

Answer:

giberishgiberishgiberishgiberishgiberishgiberishgiberishgiberishgiberish

Explanation:

i have no idea what the question is but do u 4 real need help?

Which of the following terms describes the path from an electrical source to a switch or plug?
transmitter
circuit breaker
raceway
breaker panel

Answers

Answer:

transmitter hope thus helped!

Explanation:

Raceway is the answer

"A raceway is an enclosed conduit that forms a physical pathway for electrical wiring."

1. Discuss how products incorporate aesthetic design and why this appeals to target markets 2. Discuss how the universal design process has impacted engineering design and the impact these expectations will have on the future of product design.

Answers

Explanation:

Remember, to say a product is incorporated with aesthetic design implies that its overall appearance is designed to look beautiful to the eyes of the user/buyer. For example, a clothing company whose target market is mainly focused on women's clothing would need to take into consideration that certain colors like pink, blue, etc are attractive to women more than men. So they'll have to ensure the colors of their clothing are suitable to the needs of their target market.

The Universal Design process involves building products that can be used by a wide range of users at ease. For example, you may ask yourself: Is my product/service easily accesible to those with disabilities?

Other processes include;

Defining who the users (or universe) are of the products. Involve consumers in the design.Follow the existing standards of product designEvaluate and review your universal design methods
Other Questions
A space probe is launched from a platform that is just above 100 meters below sea level. The probe is expected to travel into deep space indefinitely. Write an equality showing the altitude of the probe after it is launched. Which of the following statements about the rise of democracy is true? PLEASEE HELP AND SHOW WORK IF YOU CAN ASAP AND HURRY PLEASE! (10 pts) .....................................hi Is this statement true or false?Evaluating the context of an artwork requires research about the conditions of a society, such as wars that occurred, the form ofgovernment in place, and cultural attributes of the society.-true-false As soon as Bobby heard that the math test was going to be worth 30% of his grade, he began studying. He studied in class. He studied on the bus ride home. He even tried to study while walking home from the bus but stopped after bumping into a lamppost. When he got home, he didn't watch any TV because he was studying so intensely. He completed the study guide that Mr. Morris gave him and then he completed one that he had made himself. Bobby refused to quit. He stayed awake all night finding and completing extra problems on the Internet. By the time the sun rose, Bobby had mastered the content. As he entered the classroom, he felt prepared. He sharpened his pencil, sat at his desk, put his head down, fell asleep, and failed his test. Which type of irony is used? A.Situational.B.Verbal.C.Dramatic. ANSWER ASAPwhat are some Compare & Contrast of the black cat and tell-tale heart that I can put in a essay Based on the text, what was the relationship between the American Revolution and the worldwide movement to expand political independence? A The American Revolution slowed the challenge to monarchies throughout Europe. B. The American Revolution discouraged colonized nations from seeking independence. C. The American Revolution encouraged governments to limit the individual liberties of their citizens. D. The American Revolution served as a revolutionary framework for other nations seeking political change. discuss advantages of intrapersonal communication What is a solute?A material that is dissolved in another material.O A material in which another material is dissolved.An area of space surrounding the nucleus.O Chemical formulas on the left side of an equation. In HIJ, h = 450 cm, i = 210 cm and j=640 cm. Find the measure of I to the nearest degree. 20 point question pls help Based on your knowledge of the universal appeal of Shakespeare, what might make the theme of control appealing or interesting to people of different ages, genders, ethnicities, etc. 3. What things does your body do automatically to cool down or warm up? The Devils Hole pupfish is one of the world's rarest fishes, spending most of its life in the top few meters of very warm waters of a cavern located in the middle of the Mojave Desert. Devils Hole,a geologic pool, is the only naturally occurring habitat for the endangered Devils Hole pupfish. This fish's habitat is one of the smallest natural ranges known for any vertebrate. Devils Hole is anextreme environment, with water temperatures and dissolved oxygen concentrations near the lethal limits for most fish species.Which of the following statements best explains why the Devils Hole pupfish are able to live in this environment? Only answer if you have an answer to the question. Thank you. (-5,-3) (5,-4) slope = . All things everywhere in the universe have an invisible pulling force between them. What is this invisible force called?frictionpositiongravitymotion I WILL GIVE YOU 10 POINTS FOR A SIMPLE QUESTION!What is the funniest thing you have seen, heard, or done. I will mark brainliest to the first person that answers.MAKE SURE THEY ARE CLEAN.