Final answer:
To determine the distance the sled will slide before coming to rest, we need to calculate the work done by kinetic friction and then use that work to find the distance.
Step-by-step explanation:
To determine the distance the sled will slide before coming to rest, we need to calculate the work done by kinetic friction and then use that work to find the distance. The work done by kinetic friction can be calculated using the equation:
Work = Force * Distance * cos(180°)
Where the force of kinetic friction can be found using:
Force = coefficient of kinetic friction * Normal force
The normal force can be calculated using:
Normal force = mass * gravity
Plugging in the given values:
Mass = 60 kg
Coefficient of kinetic friction = 0.30
Distance = ?
Using these values, we can calculate the force of kinetic friction, the normal force, and the work done by kinetic friction.
Finally, we can use the work done by kinetic friction to calculate the distance the sled will slide using the equation:
Work = Force * Distance * cos(180°)