The distnace from earth to the moon is 239,000 miles.<\/p>\n\n\n\n
a. how many kilometers are in 239000 miles?<\/p>\n\n\n\n
b. given that the light travels at 3.00*10^8 m\/s , how many minutes does it take for light to travel to the moon ?<\/p>\n\n\n\n
c. The apollo 10 mission holds the record for the highest speed by a manned vehicle at 11080 m\/s . How many minutes would it take for the apollo 10 mission to reach the moon assuming the rocket travels ina straight line at that top speed?<\/p>\n\n\n\n
d. The apollo 11 mission took 73.45 hours to reach lunar orbit once it left earths orbit. The avergae speed duirng that time was 5500km\/hr. How many miles did the apollo 11 mission actually travel in space ?<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n Let’s break this down step by step.<\/p>\n\n\n\n To convert miles to kilometers, we use the conversion factor: So, for 239,000 miles: The speed of light is given as (3.00 \\times 10^8) m\/s. First, we need to convert the distance from kilometers to meters since the speed of light is in meters per second.<\/p>\n\n\n\n We know: Now, we calculate the time it takes for light to travel this distance: The Apollo 10 mission traveled at a top speed of 11,080 m\/s. To calculate how long it would take for the mission to travel to the moon at this speed, we first need to use the distance in meters:<\/p>\n\n\n\n The distance from Earth to the Moon is: Now, we use the formula for time: To convert seconds into minutes: We are told that the Apollo 11 mission took 73.45 hours to reach lunar orbit and traveled at an average speed of 5500 km\/hr. To find the distance traveled, we use the formula:<\/p>\n\n\n\n [ Converting the time into hours: Now, to convert kilometers to miles: Thus: The distnace from earth to the moon is 239,000 miles. a. how many kilometers are in 239000 miles? b. given that the light travels at 3.00*10^8 m\/s , how many minutes does it take for light to travel to the moon ? c. The apollo 10 mission holds the record for the highest speed by […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-189040","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/189040","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=189040"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/189040\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=189040"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=189040"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=189040"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}a. Convert the distance from miles to kilometers.<\/h3>\n\n\n\n
1 mile = 1.60934 kilometers.<\/p>\n\n\n\n
[
239,000 \\, \\text{miles} \\times 1.60934 = 384,405.66 \\, \\text{kilometers}
]
Thus, the distance from Earth to the Moon is approximately 384,406 kilometers<\/strong>.<\/p>\n\n\n\nb. Time for light to travel to the moon<\/h3>\n\n\n\n
[
1 \\, \\text{km} = 1000 \\, \\text{m}
]
So, the distance to the moon in meters is:
[
384,406 \\, \\text{km} \\times 1000 = 384,406,000 \\, \\text{m}
]<\/p>\n\n\n\n
[
\\text{Time} = \\frac{\\text{Distance}}{\\text{Speed}} = \\frac{384,406,000 \\, \\text{m}}{3.00 \\times 10^8 \\, \\text{m\/s}} = 1.281 \\, \\text{seconds}
]
To convert seconds to minutes, we divide by 60:
[
\\text{Time in minutes} = \\frac{1.281 \\, \\text{seconds}}{60} = 0.02135 \\, \\text{minutes}
]
Thus, it takes approximately 0.02135 minutes<\/strong> (or about 1.28 seconds<\/strong>) for light to travel from Earth to the Moon.<\/p>\n\n\n\nc. Time for the Apollo 10 mission to reach the moon<\/h3>\n\n\n\n
[
384,406,000 \\, \\text{m}
]<\/p>\n\n\n\n
[
\\text{Time} = \\frac{\\text{Distance}}{\\text{Speed}} = \\frac{384,406,000 \\, \\text{m}}{11,080 \\, \\text{m\/s}} = 34,696.5 \\, \\text{seconds}
]<\/p>\n\n\n\n
[
\\text{Time in minutes} = \\frac{34,696.5 \\, \\text{seconds}}{60} = 578.27 \\, \\text{minutes}
]
So, it would take 578.27 minutes<\/strong> (or about 9.64 hours<\/strong>) for Apollo 10 to reach the Moon traveling at its top speed.<\/p>\n\n\n\nd. Distance traveled by Apollo 11 mission<\/h3>\n\n\n\n
\\text{Distance} = \\text{Speed} \\times \\text{Time}
]<\/p>\n\n\n\n
[
\\text{Distance} = 5500 \\, \\text{km\/hr} \\times 73.45 \\, \\text{hr} = 403,975 \\, \\text{km}
]<\/p>\n\n\n\n
[
1 \\, \\text{km} = 0.621371 \\, \\text{miles}
]<\/p>\n\n\n\n
[
403,975 \\, \\text{km} \\times 0.621371 = 251,888.52 \\, \\text{miles}
]
Therefore, the Apollo 11 mission traveled approximately 251,889 miles<\/strong>.<\/p>\n\n\n\nSummary of Results:<\/h3>\n\n\n\n
\n