Final answer:
The work done by the sloth against gravity to climb 6.0 m is equal to the product of the unknown weight of the sloth and the given distance of 6.0 m.
Step-by-step explanation:
To determine the work done by the sloth against gravity, we can use the formula:
Work = Force x Distance
In this case, the force is the weight of the sloth, which can be calculated using the formula:
Weight = Mass x Gravity
Given that the mass of the sloth is unknown, we cannot calculate the exact work done. However, we can provide a general explanation. When the sloth climbs a height of 6.0 m, it does work against gravity by exerting a force equal to its weight multiplied by the distance it moves. This work is given by the formula:
Work = Weight x Distance
Since we don't know the weight of the sloth, we cannot calculate the exact numerical value of the work. But we can say that the work done by the sloth against gravity to climb 6.0 m is equal to the product of the unknown weight of the sloth and the given distance of 6.0 m.