How might the industrial revolution and the birth of capitalism motivate countries to dominate other countries a claim ?

To secure natural resources and labour force. Wealth resulting from industry empowers the wealthy to seduce, buy and/or corrupt the elite of other nations. In Victorian Britain there was a genuine belief among some that other nations benefited from being annexed. Whilst the British elite were terrible imperialists they also built infrastructure such as transport, sewers etc, everywhere they went. Brits arent evil but we do always think we know best...unfortunately.

the right answer for the question that is being asked and shown above is that: "their policy of "divide and rule" pitted political groups against each other to keep any one group from becoming too powerful.  " the  participant in european imperialism is being described below is that  their policy of "divide and rule" pitted political groups against each other to keep any one group from becoming too powerful. 

an interest group is an organization whose members share common concerns, and try to influence government policies that impact those concerns. elected officials frequently complain about the influence of "special interests" on american politics.