Question

Object ONE is moving at a speed v. Object TWO (with the same mass) is moving at a speed of 2v. Which of the following is true?

Option 1: Object TWO has twice the kinetic energy of Object ONE.
Option 2: Object ONE has twice the kinetic energy of Object TWO.
Option 3: Object ONE and Object TWO have the same kinetic energy.
Option 4: Object TWO has no kinetic energy.

Answer 1

Object TWO, which is moving at a speed of 2v, has four times the kinetic energy of Object ONE moving at speed v, according to the kinetic energy formula KE = 1/2mv².

Step-by-step explanation:

When comparing the kinetic energy of two moving objects with the same mass but different velocities, we can use the kinetic energy formula KE = 1/2mv² to determine which has more kinetic energy. If Object ONE is moving at speed v, its kinetic energy is KE1 = 1/2mv². For Object TWO moving at twice the speed, 2v, its kinetic energy is KE2 = 1/2m(2v)² = 1/2m(4v²) = 4(1/2mv²), which is four times the kinetic energy of Object ONE. Therefore, none of the options provided are correct; the truth is that Object TWO has four times the kinetic energy of Object ONE, not twice.