{"id":185358,"date":"2025-01-22T12:53:48","date_gmt":"2025-01-22T12:53:48","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=185358"},"modified":"2025-01-22T12:53:50","modified_gmt":"2025-01-22T12:53:50","slug":"a-robot-probe-drops-a-camera-off-the-rim-of-a-330m-high-cliff-on-mars","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/01\/22\/a-robot-probe-drops-a-camera-off-the-rim-of-a-330m-high-cliff-on-mars\/","title":{"rendered":"A robot probe drops a camera off the rim of a 330m high cliff on Mars"},"content":{"rendered":"\n<p>A robot probe drops a camera off the rim of a 330m high cliff on Mars, where the free-fall acceleration is 3.7m\/s2. find the velocity with which it hits the ground.<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Given Data:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Height of the cliff (( h )): ( 330 \\, \\text{m} )<\/li>\n\n\n\n<li>Acceleration due to gravity on Mars (( g )): ( 3.7 \\, \\text{m\/s}^2 )<\/li>\n\n\n\n<li>Initial velocity (( u )): ( 0 \\, \\text{m\/s} ) (as it is dropped from rest)<\/li>\n<\/ul>\n\n\n\n<p>We can use the equation of motion:<br>[<br>v^2 = u^2 + 2gh<br>]<br>Since ( u = 0 ):<br>[<br>v^2 = 2gh<br>]<br>Taking the square root:<br>[<br>v = \\sqrt{2gh}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Substituting the values:<\/h3>\n\n\n\n<p>[<br>v = \\sqrt{2 \\cdot 3.7 \\cdot 330}<br>]<br>[<br>v = \\sqrt{2442}<br>]<br>[<br>v \\approx 49.42 \\, \\text{m\/s}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<p>The velocity with which the camera hits the ground is approximately ( 49.42 \\, \\text{m\/s} ).<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation (300 Words):<\/h3>\n\n\n\n<p>The scenario involves a camera dropped off a cliff on Mars, where the gravitational acceleration is different from Earth\u2019s ( 9.8 \\, \\text{m\/s}^2 ). Since the camera is dropped from rest, its initial velocity (( u )) is ( 0 ). The motion occurs under constant acceleration due to gravity, allowing us to use the kinematic equation:<br>[<br>v^2 = u^2 + 2gh<br>]<\/p>\n\n\n\n<p>The equation relates the final velocity (( v )), initial velocity (( u )), gravitational acceleration (( g )), and height (( h )). Here, ( u^2 ) drops out because ( u = 0 ). The acceleration (( g )) and height (( h )) are known, so substituting these values simplifies the computation. The term ( 2gh ) calculates the square of the velocity the object gains after falling a distance ( h ) under acceleration ( g ).<\/p>\n\n\n\n<p>The square root of ( 2gh ) gives the final velocity. On Mars, the lower gravity means the camera falls more slowly than it would on Earth. The value calculated, ( 49.42 \\, \\text{m\/s} ), represents the speed at which the camera impacts the Martian ground.<\/p>\n\n\n\n<p>This example illustrates the influence of planetary gravity on free-fall motion, which engineers and scientists consider when designing equipment for extraterrestrial exploration. The lower gravity on Mars results in gentler impacts for dropped objects compared to Earth.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A robot probe drops a camera off the rim of a 330m high cliff on Mars, where the free-fall acceleration is 3.7m\/s2. find the velocity with which it hits the ground. The Correct Answer and Explanation is : Given Data: We can use the equation of motion:[v^2 = u^2 + 2gh]Since ( u = 0 [&hellip;]<\/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-185358","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/185358","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=185358"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/185358\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=185358"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=185358"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=185358"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}