Final answer:
The frictional force must act for 1 second to bring the mass to rest.
Step-by-step explanation:
In this problem, we can use the equation:
Force = mass × acceleration
The frictional force acting on the object is opposing its motion, so the acceleration is in the opposite direction as well. Therefore, we have:
Frictional force = mass × (-acceleration)
Here, the mass of the object is 2.4 kg and the initial velocity is given as 6.0 m/s, which means the initial acceleration is 0 m/s^2. Since the object needs to be brought to rest, the final velocity is 0 m/s. Rearranging the equation, we get:
Final velocity = Initial velocity + acceleration × time
Plugging in the values, we have:
0 m/s = 6.0 m/s + (-acceleration) × time
Solving for time, we find that the frictional force must act for 1 second in order to bring the mass to rest.
Learn more about Frictional force and bringing an object to rest