a) PE + KE = TE From the figure from the left upto the top of the dip, the PE remains constant,thus KE also remains constant (as TE is constant). As it goes into the dip of the curve, its PE decreses, so KE must increase so that TE remains constant. So, the body speeds up from the start of the dip to the bottom of the dip. After reaching the bottom, the PE increases,so KE must decrease and thus the body speeds down in this period. After completing the dip, again the KE remains constant and continues with the same speed afterwards b) Here the same thing occurs,. As the body goes inside the dip, its PE decreases and thus the KE increases . After reaching the bottom, it agains speeds down and finally comes to rest at +2.5m c) Yes it is reasonable to have TE to be -ve. This happens when the PE is exessively negative than KE as is the case above d) She would need 10 units of KE as is evident from the curve e) Same analysis as in part (b) f) For far away points, the PE is greater than the value is possible from the points under the thick line. So, some energy must be provided so that the TE increases and thus can be separated So, energy must be put in <---- answer Solution a) PE + KE = TE From the figure from the left upto the top of the dip, the PE remains constant,thus KE also remains constant (as TE is constant). As it goes into the dip of the curve, its PE decreses, so KE must increase so that TE remains constant. So, the body speeds up from the start of the dip to the bottom of the dip. After reaching the bottom, the PE increases,so KE must decrease and thus the body speeds down in this period. After completing the dip, again the KE remains constant and continues with the same speed afterwards b) Here the same thing occurs,. As the body goes inside the dip, its PE decreases and thus the KE increases . After reaching the bottom, it agains speeds down and finally comes to rest at +2.5m c) Yes it is reasonable to have TE to be -ve. This happens when the PE is exessively negative than KE as is the case above d) She would need 10 units of KE as is evident from the curve e) Same analysis as in part (b) f) For far away points, the PE is greater than the value is possible from the points under the thick line. So, some energy must be provided so that the TE increases and thus can be separated So, energy must be put in <---- answer.