Final answer:
To determine the maximum distance you can pull a 3 kg mass at the maximum incline with a work of 28 J, divide the work by the weight of the mass. By substituting the values into the formulas, you can calculate the distance approximately equal to 0.952 meters.
Step-by-step explanation:
To determine how far you can pull the 3 kg mass at the maximum incline with a work of 28 J, we need to consider the relationship between work, force, and distance. Work is equal to force times distance, so we can rearrange the formula to solve for distance: distance = work / force. In this case, the force can be obtained by dividing the work by the weight of the mass, since the weight is the force acting on it. The weight of an object can be calculated using the formula: weight = mass * acceleration due to gravity. By substituting the provided values into these formulas, we can calculate the distance.
- Calculate the weight of the mass: weight = mass * acceleration due to gravity = 3 kg * 9.8 m/s^2 = 29.4 N
- Calculate the force: force = work / weight = 28 J / 29.4 N ≈ 0.952 m
Therefore, you can pull the 3 kg mass at the maximum incline a distance of approximately 0.952 meters with a work of 28 J.