IF FORMULAS ARE USED PLEASE LIST THOSE FIRST!!! A 40.0-kg child stands at one en
ID: 1773637 • Letter: I
Question
IF FORMULAS ARE USED PLEASE LIST THOSE FIRST!!!
A 40.0-kg child stands at one end of a 70.0-kg boat that is 4.00 m long. The boat is initially 3.00 m from the pier. The child notices a turtle on a rock beyond the far end of the boat and proceeds to walk to that end to catch the turtle. (a) Neglecting friction between the boat and water, describe the motion of the system (child plus boat). (b) Where will the child be relative to the pier when he reaches the far end of the boat? (c) Will he catch the turtle? (Assume that he can reach out 1.00 m from the end of the boat.)
Explanation / Answer
a] Here the position of center of mass will be conserved because here is no external horizontal force acting on boat child system. So as the child moves, boat moves in opposite durection.
b] position of center of mass will be conserved, so
40*3 + 70*(3+4/2) = 40*(3+4 -x) + 70*(3+4/2 -x)
x = 1.4545 m at
Hence child will be at 3+4-1.4545 = 5.55 m from pier answer
c] location of turtle was 3+4 = 7m, which is more than 5.55+1 m, so he will not be able to catch turtle