Final answer:
The work done on an object can be calculated using the equation: Work = Force x Distance. In this case, since the object is slowing down, an opposing force is acting on it. Therefore, the work done is equal to the force applied against the motion of the object multiplied by the distance traveled. However, the distance traveled is not provided in the question, so it is not possible to determine the amount of work done without this information. Therefore, the correct answer cannot be determined from the given options.
Step-by-step explanation:
The work done on an object can be calculated using the equation:
Work = Force x Distance
In this case, since the object is slowing down, an opposing force is acting on it. Therefore, the work done is equal to the force applied against the motion of the object multiplied by the distance traveled:
Work = Force x Distance
Work = (Mass x Change in Velocity) x Distance
Using the given values:
Mass = 60 kg
Initial Velocity = 8 m/s
Final Velocity = 4 m/s
Distance = ?
Change in Velocity = Final Velocity - Initial Velocity = 4 m/s - 8 m/s = -4 m/s
Since the object is slowing down, the change in velocity is negative.
Plugging in these values:
Work = (60 kg x (-4 m/s)) x Distance
Since work is equal to the force applied times the distance, we can solve for distance:
Work = Force x Distance -> Distance = Work / Force
Given that the net force acting on an object is equal to the mass of the object times the change in velocity:
Force = Mass x Change in Velocity = 60 kg x (-4 m/s)
Substituting this into the equation:
Distance = Work / (60 kg x (-4 m/s))
Calculating this further:
Distance = Work / (-240 N)
Since work is equal to the force applied times the distance, the equation becomes:
Distance = Work / (-240 N) -> Work = Distance x (-240 N)
Therefore, the work done is equal to the distance traveled multiplied by the opposing force:
Work = Distance x (-240 N)
However, the distance traveled is not provided in the question, so it is not possible to determine the amount of work done without this information. Therefore, the correct answer cannot be determined from the given options.