The Kinetic Energy of a moving mass can be described by the equation KE = 1 2 mv 2 , where KE is the kinetic energy of the object (in Joules), m is the mass of the object (in kilograms), and v is the velocity of the moving object. (a) Determine how much the Kinetic Energy changes if the velocity is quadrupled.

(b) Determine how much the Kinetic Energy changes if the mass is decreased by a factor of two.

7 (c) Determine how much the Kinetic Energy changes if the mass is doubled and the velocity is reduced by a factor of four.

(d) Use the method of Literal Equations to isolate the velocity and determine the dimensions (units) of the velocity. [Note that 1 J = 1 kg ? m2 s 2 ]

5. The Kinetic Energy of a moving mass can be described by the equation KE 2 imvz, where KE is the kinetic energy of the object (in Joules), m is the mass of the object (in kilograms), and v is the velocity ofthe moving object. (a) Determine how much the Kinetic Energy changes if the velocity is quadrupled. (b) Determine how much the Kinetic Energy changes if the mass is decreased by a factor of two. (c) Determine how much the Kinetic Energy changes if the mass is doubled and the velocity is reduced by a factor of four. (d) Use the method of Literal Equations to isolate the velocity and determine the 2 m dimensions (units) of the velocity. [Note that 1] = 1 kg - 52