Impulse equals average force times collision time

Steps:

• Impulse J is defined as the product of average force F and time interval Δt: J = F × Δt.
• Rearrange the formula to solve for average force: F = J / Δt.
• Substitute the given values: J = 14000 N s and Δt = 0.07 s.
• Perform the division: F = 14000 / 0.07 = 200000 N.

Why C is correct:

• The average force follows from the impulse formula J = F Δt, yielding F = 200000 N, which corresponds to option C.

Why the others are wrong:

• A is too small; it might result from misapplying Δt / J.
• B confuses impulse (N s) with force (N).
• D overestimates; it could come from using Δt ≈ 0.16 s incorrectly.

Final answer: C