Ben and Peter are playing horseshoes. Ben takes the first turn, and his horseshoe lands three-fourths of the way to the target Peter takes the next turn, and his horseshoe lands past the target. Which statement best explains the results? (1 point)
The horseshoes have the same mass but Peter threw with more force than Peter
Peter used a horseshoe with more mass and threw with the same force as Ben
Peter used a horseshoe with more mass and threw with less force than Ben
The horseshoes have the same mass but Peter threw with less force than Ben
The horseshoes have the same mass but Peter threw with more force than Ben.
Based on the given information, the correct statement is: Peter used a horseshoe with more mass and threw with less force than Ben.
To determine the answer, we need to understand the relationship between mass, force, and the landing distance of the horseshoe.
First, let's assess Ben's turn. His horseshoe lands three-fourths of the way to the target. This indicates that Ben exerted a certain amount of force during the throw, resulting in the horseshoe reaching that distance.
Next, Peter takes his turn, and his horseshoe lands past the target. This can be interpreted as Peter's horseshoe traveling a longer distance than Ben's horseshoe.
Now let's consider the answer options:
1. "The horseshoes have the same mass but Peter threw with more force than Peter."
This statement contradicts the scenario given in the question. It suggests that Peter threw with more force than himself, which is logically incorrect. Therefore, this option can be eliminated.
2. "Peter used a horseshoe with more mass and threw with the same force as Ben."
This statement assumes that Peter's horseshoe had more mass and the same force as Ben's horseshoe. However, based on the results described, Peter's horseshoe traveled a longer distance than Ben's horseshoe. Therefore, this option does not explain the results accurately and can be eliminated.
3. "Peter used a horseshoe with more mass and threw with less force than Ben."
This option accurately explains the scenario. By using a horseshoe with more mass, Peter needed to exert less force to achieve a longer distance compared to Ben's horseshoe.
4. "The horseshoes have the same mass but Peter threw with less force than Ben."
This option assumes both horseshoes have the same mass. However, based on the scenario, it is more likely that Peter's horseshoe had more mass, as it traveled further. Therefore, this option does not explain the results accurately and can be eliminated.
Considering the explanations above, the best statement that explains the results is: "Peter used a horseshoe with more mass and threw with less force than Ben."