A golf club exerts a force of 451 N on a golf ball ball for 20 ms. What impulse is given to the ball? Give your answer to one decimal place.

Question

BlackTom AI · Accepted Answer

Impulse equals force multiplied by time, so use I = F · Δt.

1) Relevant knowledge points and concepts
- Impulse (I) is defined as the product of force (F) and the time interval (Δt) during which the force acts: I = F Δt.
- SI unit of impulse is newton-second (N·s), which is equivalent to the change in momentum (kg·m/s).
- Ensure time is in seconds when using SI units (convert milliseconds to seconds).

2) Complete reasoning process (step by step)
- Given F = 451 N and Δt = 20 ms.
- Convert the time into seconds: 1 ms = 1 × 10^−3 s, so 20 ms = 20 × 10^−3 s.

3) Calculations with intermediate steps
- Δt = 20 ms = 20 × 10^−3 s = 0.020 s.
- Compute impulse: I = F · Δt = 451 N × 0.020 s.
- Multiply: 451 × 0.020 = 451 × 2.0 × 10^−2 = 902 × 10^−2 = 9.02 N·s.

4) Why the correct answer is correct
- The physics definition I = FΔt was applied correctly with proper unit conversion. The numerical product 9.02 N·s is the impulse imparted, i.e., the change in the ball’s momentum.

5) Common incorrect approaches (why other answers would be wrong)
- Forgetting to convert milliseconds to seconds (e.g., using 20 directly) would give 451 × 20 = 9020 N·s, which is wrong by a factor of 1000.
- Rounding too early (for example rounding 0.020 to 0.02 is fine, but rounding 9.02 to 9 or 9.1 without following one-decimal-place rules could be incorrect). Here the instruction requests one decimal place.

6) Conclusion and confirmation
- Rounding 9.02 to one decimal place gives 9.0 N·s. This matches the provided correct answer: 9.0.

A golf club exerts a force of 451 N on a golf ball ball for 20 ms. What impulse is given to the ball? Give your answer to one decimal place.数值题

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