Exercise 3.1.105: suppose two masses on carts on frictionless surface are at displacements x1 and x2 as in the example of this section. suppose initial displacement is x1(0) = x2(0) = 0, and initial velocity is x0 1 (0) = x0 2 (0) = a for some number a. use your intuition to solve the system, explain your reasoning.

Which of the following statements is true? a. the irrational number system is not closed under multiplication, because the product of two irrational numbers is always a rational number. b. the irrational number system is not closed under multiplication, because the product of two irrational numbers is not always an irrational number. c. the irrational number system is closed under multiplication, because the product of two irrational numbers is always an irrational number. d. the irrational number system is closed under multiplication, because the product of two irrational numbers is always a rational numbers. reset submit