Ok, I’m going to try this question again, with the hope it makes a little more sense this time around. The details are below, but basically I'm wondering if it's possible using F=ma and gravitational force calculations to figure out the weight of a dart?
Let’s say I throw an 18 gram dart from a height of 70” and hit a target that is 77” away & 68” high. Is it possible to determine how much heavier a dart would need to be(i.e. to increase its force) to reach a target that is 3” further away, and if so, what would that weight be? The arm tempo would remain the same and I'm assuming air resistance is not a significant enough variable to consider.
Let’s say I throw an 18 gram dart from a height of 70” and hit a target that is 77” away & 68” high. Is it possible to determine how much heavier a dart would need to be(i.e. to increase its force) to reach a target that is 3” further away, and if so, what would that weight be? The arm tempo would remain the same and I'm assuming air resistance is not a significant enough variable to consider.
1 Answer
The dart would need to weigh about
Explanation:
As you stated,
But the only relative force on the dart in this case is the "arm tempo" which remains the same.
So here
For a difference of