Ben and Peter are playing horseshoes. been takes the first turn and his horseshoe lands three-fourths of the way to the target. Peter take the next turn and his horseshoe lands past the target. which statement explains the results.

A. the horseshoes have the same mass but Peter threw with less force than Ben

B. Peter used a horseshoe with more mass and threw it with the same force as ben

c. Peter used a horseshoe with more mass and threw it with less force then Ben.

D. the horses have the same mass but Peter threw with more force than Ben.

C. Peter used a horseshoe with more mass and threw it with less force than Ben.

The correct statement that explains the results is option C: Peter used a horseshoe with more mass and threw it with less force than Ben.

To determine the answer, we need to analyze the given information.

According to the information provided, Ben's horseshoe landed three-fourths of the way to the target. This indicates that Ben came closest to the target but did not hit it directly.

On the other hand, Peter's horseshoe landed past the target, meaning it went beyond the intended mark.

Now, let's analyze the options:

A. "The horseshoes have the same mass, but Peter threw with less force than Ben."
This option suggests that the horseshoes have the same mass, but Peter threw with less force. However, this explanation does not align with the fact that Peter's horseshoe landed past the target.

B. "Peter used a horseshoe with more mass and threw it with the same force as Ben."
This option suggests that Peter used a horseshoe with more mass and threw it with the same force as Ben. However, this explanation also does not align with the fact that Peter's horseshoe landed past the target.

C. "Peter used a horseshoe with more mass and threw it with less force than Ben."
This option is a possible explanation. If Peter used a horseshoe with more mass and threw it with less force, it could explain why his horseshoe went beyond the target. Additionally, this explanation aligns with the fact that Ben's horseshoe landed closer to the target than Peter's.

D. "The horseshoes have the same mass, but Peter threw with more force than Ben."
This option does not align with the fact that Peter's horseshoe landed past the target.

Based on the given information, option C - "Peter used a horseshoe with more mass and threw it with less force than Ben" - is the most plausible explanation.