how escape speed is related to the mass of the object
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ɪɴ ᴘᴀʀᴛɪᴄᴜʟᴀʀ, ɪɴ ɢᴏᴠᴇʀɴꜱ ᴛʜᴇ ꜱᴘᴇᴇᴅ ᴛʜᴀᴛ ꜱᴏᴍᴇᴛʜɪɴɢ ᴍᴏꜱᴛ ᴛʀᴀᴠᴇʟ ɪɴ ᴏʀᴅᴇʀ ᴛᴏ ᴇꜱᴄᴀᴘᴇ ᴛʜᴇ ᴏʙᴊᴇᴄᴛ'ꜱ ɢʀᴀᴠɪᴛʏ. ᴛʜᴀᴛ ꜱᴘᴇᴇᴅ ɪꜱ ᴄᴀʟʟᴇᴅ ᴛʜᴇ ᴇꜱᴄᴀᴘᴇ ᴠᴇʟᴏᴄɪᴛʏ . ᴡʜᴇʀᴇ ɢ ɪꜱ ᴛʜᴇ ɢʀᴀᴠɪᴛᴀᴛɪᴏɴᴀʟ ᴄᴏɴꜱᴛᴀɴᴛ, ᴍ ɪꜱ ᴛʜᴇ ᴏʙᴊᴇᴄᴛ'ꜱ ᴍᴀꜱꜱ, ᴀɴᴅ ʀ ɪꜱ ɪᴛꜱ ʀᴀᴅɪᴜꜱ. ... ᴛʜᴇ ᴍᴀꜱꜱ ᴅᴏᴇꜱɴ'ᴛ ᴀꜰꜰᴇᴄᴛ ᴛʜᴇ ᴇꜱᴄᴀᴘᴇ ᴠᴇʟᴏᴄɪᴛʏ.
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In particular, in governs the speed that something most travel in order to escape the object's gravity. That speed is called the escape velocity . where G is the gravitational constant, M is the object's mass, and R is its radius. The mass doesn't affect the escape velocity.
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