Question

A 1-kg object gaining 4.0 Joules of kinetic energy when accelerated to 2.0 m/s:

Option 1: Gains 2.0 J of kinetic energy
Option 2: Gains 4.0 J of potential energy
Option 3: Gains 8.0 J of kinetic energy
Option 4: Gains 4.0 J of potential energy

Answer 1

A 1-kg object gaining 4.0 Joules of kinetic energy when accelerated to 2.0 m/s gains 2.0 J of kinetic energy.

Step-by-step explanation:

A 1-kg object gaining 4.0 Joules of kinetic energy when accelerated to 2.0 m/s does not gain potential energy. The correct option is Option 1: Gains 2.0 J of kinetic energy. Kinetic energy is given by the equation KE = 1/2mv^2, where m is mass and v is velocity. In this case, mass is 1 kg and velocity is 2.0 m/s. Plugging these values into the equation, we get KE = 1/2 * 1 * (2.0)^2 = 2.0 J. Therefore, the object gains 2.0 J of kinetic energy.