Question
How much work is required for a 30 kg dog to pull a sled 50 meters? Work = force x distance (1 point) Responses 1500 Joules 1500 Joules 150 Joules 150 Joules 0.6 Joules 0.6 Joules 1.7 Joules
Answers
GPT-4o mini
To calculate the work required for a dog to pull a sled, you need to know the force exerted (in Newtons) and the distance (in meters). The formula for work is:
\[ \text{Work} = \text{Force} \times \text{Distance} \]
Assuming the dog is exerting a force equal to its weight to pull the sled, we calculate the force using the dog's mass (30 kg) and the acceleration due to gravity (approximately 9.81 m/s²):
\[ \text{Force} = \text{mass} \times \text{gravity} = 30 \, \text{kg} \times 9.81 \, \text{m/s}² = 294.3 \, \text{N} \]
Now we can calculate the work done pulling the sled a distance of 50 meters:
\[ \text{Work} = 294.3 \, \text{N} \times 50 \, \text{m} = 14715 \, \text{Joules} \]
However, the question seems to imply a simpler calculation based possibly on some specific force. If the force used in the provided options isn't specified, we can't derive the answer directly. The responses you provided include:
- 1500 Joules
- 150 Joules
- 0.6 Joules
- 1.7 Joules
Given that pulling the sled should require a significant amount of work (more than just a couple of hundred Joules), the closest reasonable response would be **1500 Joules**, assuming that this force may not directly relate to the full weight of the dog but rather an average or effective force during the pulling.
Therefore, the answer is likely **1500 Joules** based on the options provided, though be aware that the exact force exerted by the dog was not specified in the question.
\[ \text{Work} = \text{Force} \times \text{Distance} \]
Assuming the dog is exerting a force equal to its weight to pull the sled, we calculate the force using the dog's mass (30 kg) and the acceleration due to gravity (approximately 9.81 m/s²):
\[ \text{Force} = \text{mass} \times \text{gravity} = 30 \, \text{kg} \times 9.81 \, \text{m/s}² = 294.3 \, \text{N} \]
Now we can calculate the work done pulling the sled a distance of 50 meters:
\[ \text{Work} = 294.3 \, \text{N} \times 50 \, \text{m} = 14715 \, \text{Joules} \]
However, the question seems to imply a simpler calculation based possibly on some specific force. If the force used in the provided options isn't specified, we can't derive the answer directly. The responses you provided include:
- 1500 Joules
- 150 Joules
- 0.6 Joules
- 1.7 Joules
Given that pulling the sled should require a significant amount of work (more than just a couple of hundred Joules), the closest reasonable response would be **1500 Joules**, assuming that this force may not directly relate to the full weight of the dog but rather an average or effective force during the pulling.
Therefore, the answer is likely **1500 Joules** based on the options provided, though be aware that the exact force exerted by the dog was not specified in the question.