How to Solve for J and m in the Impulse-Momentum Theorem?

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The discussion focuses on solving for the impulse (J) and mass (m) in the context of the impulse-momentum theorem. The formula J = mΔv is central to the problem, where Δv represents the change in velocity of a falling object from 4.5 m/s to 14.5 m/s. Participants emphasize the need to express J in terms of force and time to isolate the variables effectively. The conversation highlights the importance of understanding the relationship between force, mass, and acceleration in this context.

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(a)Use the impulse-momentum theorem to find how long a falling object takes to increase its speed from 4.5 m/s to 14.5 m/s

(b) J=mΔv

(c) I have 2 unknowns...J and m so how am I suppose to solve this?
 
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Hint: Write an expression for J. (What force acts?)
 

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