Chapter 17. Newton’s law of universal gravitation (10-2)

Question

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{"title":"Any two objects (1 and 2) exert equally strong gravitational forces on each other.","description":"Correct!","type":"correct","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"2,24,19,48\"},{\"shape\":\"rect\",\"coords\":\"99,22,128,51\"}]"} {"title":"Gravitational constant (same for any two objects)","description":"Wrong","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"206,4,230,30\"}]"} {"title":"Masses of the two objects","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"230,8,254,29\"},{\"shape\":\"rect\",\"coords\":\"263,7,289,31\"}]"} {"title":"Center-to-center distance between the two objects","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"237,52,256,72\"}]"} {"title":"The gravitational forces are attractive: F sub 1-on-2 pulls object 2 toward object 1 and F sub 2-on-1 pulls object 1 toward object 2.","description":"Incorrect","type":"incorrect","color":"#ff00ff","code":"[{\"shape\":\"rect\",\"coords\":\"119,39,172,61\"},{\"shape\":\"rect\",\"coords\":\"15,41,74,58\"}]"}

Question

YAedzCq0ZEOgMZeOeDspHoKP+DmzwlVk7RClNP60f6QuCE/8/krMzPawIDNhzlJk5WntdkR8J0c=
{"title":"Any two objects (1 and 2) exert equally strong gravitational forces on each other.","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"2,24,19,48\"},{\"shape\":\"rect\",\"coords\":\"99,22,128,51\"}]"} {"title":"Gravitational constant (same for any two objects)","description":"Correct!","type":"correct","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"206,4,230,30\"}]"} {"title":"Masses of the two objects","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"230,8,254,29\"},{\"shape\":\"rect\",\"coords\":\"263,7,289,31\"}]"} {"title":"Center-to-center distance between the two objects","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"237,52,256,72\"}]"} {"title":"The gravitational forces are attractive: F sub 1-on-2 pulls object 2 toward object 1 and F sub 2-on-1 pulls object 1 toward object 2.","description":"Incorrect","type":"incorrect","color":"#ff00ff","code":"[{\"shape\":\"rect\",\"coords\":\"119,39,172,61\"},{\"shape\":\"rect\",\"coords\":\"15,41,74,58\"}]"}

Question

tfDBnh/BepSwtrb1e/2zgz5IuSepnnA6sPKyVRXnm+k=
{"title":"Any two objects (1 and 2) exert equally strong gravitational forces on each other.","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"2,24,19,48\"},{\"shape\":\"rect\",\"coords\":\"99,22,128,51\"}]"} {"title":"Gravitational constant (same for any two objects)","description":"Incorrect","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"206,4,230,30\"}]"} {"title":"Masses of the two objects","description":"Correct!","type":"correct","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"230,8,254,29\"},{\"shape\":\"rect\",\"coords\":\"263,7,289,31\"}]"} {"title":"Center-to-center distance between the two objects","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"237,52,256,72\"}]"} {"title":"The gravitational forces are attractive: F sub 1-on-2 pulls object 2 toward object 1 and F sub 2-on-1 pulls object 1 toward object 2.","description":"Incorrect","type":"incorrect","color":"#ff00ff","code":"[{\"shape\":\"rect\",\"coords\":\"119,39,172,61\"},{\"shape\":\"rect\",\"coords\":\"15,41,74,58\"}]"}

Question

LMP4MOB8r+d1yzLOdKTbwj8EPGomhMh072hoe+Pt4/SBRA8v+KTdcrL4JifJtIPqbbJ+CaI4CXo=
{"title":"Any two objects (1 and 2) exert equally strong gravitational forces on each other.","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"2,24,19,48\"},{\"shape\":\"rect\",\"coords\":\"99,22,128,51\"}]"} {"title":"Gravitational constant (same for any two objects)","description":"Incorrect","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"206,4,230,30\"}]"} {"title":"Masses of the two objects","description":"Wrong","type":"incorrect","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"230,8,254,29\"},{\"shape\":\"rect\",\"coords\":\"263,7,289,31\"}]"} {"title":"Center-to-center distance between the two objects","description":"Correct!","type":"correct","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"237,52,256,72\"}]"} {"title":"The gravitational forces are attractive: F sub 1-on-2 pulls object 2 toward object 1 and F sub 2-on-1 pulls object 1 toward object 2.","description":"Incorrect","type":"incorrect","color":"#ff00ff","code":"[{\"shape\":\"rect\",\"coords\":\"119,39,172,61\"},{\"shape\":\"rect\",\"coords\":\"15,41,74,58\"}]"}

Question

WJQs29h1CvKJPi6P0l0yJBGmguAbqCItVt8sBNckPvKD4ioZU7EeQJsc5augfZe2k5vJWgf0zKacs4yJiz+DsFbM3iqixIL4oonRH/QWifwsvtsrrM7GQWvXxXCpk2CZTr0Hg8QdCT0drkbW4Z8u8kx1+JsWQCdv1oSAMTeS/dfMg5wRIW78wCmTxAREuBXyo42SW52lgzKx/Fp9k9bP5/Ii67ebH+DT7gXVdPdDxwdOlLCY
{"title":"Any two objects (1 and 2) exert equally strong gravitational forces on each other.","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"2,24,19,48\"},{\"shape\":\"rect\",\"coords\":\"99,22,128,51\"}]"} {"title":"Gravitational constant (same for any two objects)","description":"Incorrect","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"206,4,230,30\"}]"} {"title":"Masses of the two objects","description":"Wrong","type":"incorrect","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"230,8,254,29\"},{\"shape\":\"rect\",\"coords\":\"263,7,289,31\"}]"} {"title":"Center-to-center distance between the two objects","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"237,52,256,72\"}]"} {"title":"The gravitational forces are attractive: F sub 1-on-2 pulls object 2 toward object 1 and F sub 2-on-1 pulls object 1 toward object 2.","description":"Correct!","type":"correct","color":"#ff00ff","code":"[{\"shape\":\"rect\",\"coords\":\"119,39,172,61\"},{\"shape\":\"rect\",\"coords\":\"15,41,74,58\"}]"}

Review

Just as for a charge moving in a uniform electric field, we can use our knowledge of gravitation to find an expression for the electric potential energy of two point charges \(q_1\) and \(q_2\) separated by a distance \(r\). In Section 10-2 we saw the following expression for the attractive gravitational force between two objects with masses \(m_1\) and \(m_2\) separated by a distance \(r\):