A block of mass is moving in x-direction with a constant speed of . It is subjected to a retarding force during its travel from to . Its final kinetic energy will be
Step1: Kinetic energy
Step2: Given data
Block of mass,
Regarding force, and it is acted on the block from
Step3: Formula used
Since the force F is a variable force, The work small amount of work done in moving the block to a small distance (dx) is given by,
Step4: Calculating kinetic energy
Step5: Calculating work done
Further, it is given to us that the block is subjected to a retarding force. Since the force F is a variable force, The work small amount of work done in moving the block to a small distance (dx) is given by,
Step6: Calculating final kinetic energy
Hence, option B is the correct answer.