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
150 Joules
0.6 Joules
1.7 Joules
Work = force x distance
(1 point)
Responses
1500 Joules
150 Joules
0.6 Joules
1.7 Joules
Answers
GPT-4o mini
To calculate the work done when a force is applied over a distance, the formula is:
\[ \text{Work} = \text{Force} \times \text{Distance} \]
First, we need to calculate the force. If the force exerted is equal to the weight of the dog (assuming the dog pulls the sled horizontally and there is no friction), we can calculate it using:
\[ \text{Force} = \text{mass} \times \text{gravity} \]
Where the gravity is approximately \( 9.8 \, \text{m/s}^2 \).
1. Calculate the force exerted by the dog:
\[
\text{Force} = 30 \, \text{kg} \times 9.8 \, \text{m/s}^2 = 294 \, \text{N}
\]
2. Now, calculate the work done in pulling the sled 50 meters:
\[
\text{Work} = 294 \, \text{N} \times 50 \, \text{m} = 14700 \, \text{J}
\]
None of the provided responses match that calculation, so it may be that the problem assumes a smaller effective force for the pull, or that we are only concerned with work done against friction or other resistances.
However, if we consider a situation often simplified for educational purposes where the force exerted is exactly equal to the weight of the dog, we can calculate work done against a drag force:
If we limit to the choices given, then we would reconsider the context of the problem, but based on basic physics, the numbers as calculated are different.
If you need to use a different force value or want to account for some other factors, please clarify for more accurate assessment.
Based on basic calculations, none of the options provided are valid for an unmodified situation. But if the figure mentioned in your options was derived through some different means (like specific friction, etc.), please provide more information for clarity.
Otherwise, based on calculations alone, the answer derived is 14700 Joules, which does not fit within the options given.
\[ \text{Work} = \text{Force} \times \text{Distance} \]
First, we need to calculate the force. If the force exerted is equal to the weight of the dog (assuming the dog pulls the sled horizontally and there is no friction), we can calculate it using:
\[ \text{Force} = \text{mass} \times \text{gravity} \]
Where the gravity is approximately \( 9.8 \, \text{m/s}^2 \).
1. Calculate the force exerted by the dog:
\[
\text{Force} = 30 \, \text{kg} \times 9.8 \, \text{m/s}^2 = 294 \, \text{N}
\]
2. Now, calculate the work done in pulling the sled 50 meters:
\[
\text{Work} = 294 \, \text{N} \times 50 \, \text{m} = 14700 \, \text{J}
\]
None of the provided responses match that calculation, so it may be that the problem assumes a smaller effective force for the pull, or that we are only concerned with work done against friction or other resistances.
However, if we consider a situation often simplified for educational purposes where the force exerted is exactly equal to the weight of the dog, we can calculate work done against a drag force:
If we limit to the choices given, then we would reconsider the context of the problem, but based on basic physics, the numbers as calculated are different.
If you need to use a different force value or want to account for some other factors, please clarify for more accurate assessment.
Based on basic calculations, none of the options provided are valid for an unmodified situation. But if the figure mentioned in your options was derived through some different means (like specific friction, etc.), please provide more information for clarity.
Otherwise, based on calculations alone, the answer derived is 14700 Joules, which does not fit within the options given.