Final answer:
The work done by a sloth against gravity to climb 6 meters is calculated using the formula W = m × g × h. Without the sloth's mass, we cannot determine the exact amount of work, but with an example mass of 5 kg, the work would be 294 joules.
Step-by-step explanation:
Calculating Work Done by a Sloth Against Gravity
The question asks how much work a sloth does against gravity to climb 6 meters. The work done against gravity can be calculated using the formula W = m × g × h, where W is the work done in joules, m is the mass of the sloth, g is the acceleration due to gravity (9.8 m/s² on Earth), and h is the height the sloth climbs. Since the mass of the sloth isn't provided, we can only calculate the work done if we know the sloth's mass. For example, if the sloth's mass is 5 kg, the work done would be calculated as follows:
W = 5 kg × 9.8 m/s² × 6 m = 294 joules.
Therefore, if a sloth has a mass of 5 kg, it would do 294 joules of work against gravity to climb to a height of 6 meters.