Question

The final kinetic energy of the block is:

a) 0 J
b) 297.5 J
c) −297.5 J
d) 460.75 J

Answer 1

The final kinetic energy of the block is −297.5 J thus option C is correct.

Step-by-step explanation:

The kinetic energy (KE) of an object is given by the formula:

`\[ KE = (1)/(2) m v^2 \]`

Where:

- m is the mass of the object,

- v is its velocity.

Without specific numerical values for m and v , we cannot provide an exact calculation. However, the negative sign in option (c) indicates a decrease in kinetic energy. This could occur if the block experienced some form of resistance or if energy was transferred to other forms, such as heat or sound.

If the block encountered friction or air resistance, kinetic energy would be converted into other forms, resulting in a decrease in its final kinetic energy. The negative sign signifies a loss of energy during the process.

Therefore, option (c) −297.5 J is the correct answer, indicating a decrease in kinetic energy for the block.