Explanation:
We are asked to calculate
impulse, and we’re given the formula:
J = F · t
where:
- J = impulse (in kg·m/s)
- F = force (in newtons, N)
- t = contact time (in seconds, s)
Let’s solve each problem one by one.
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Problem 1:
Ralph hits the tennis ball with a force of
12 N, and the contact time is
0.40 s.
So:
J = F × t = 12 N × 0.40 s =
4.8 kg·m/s
✔ Check: 12 × 0.4 = 4.8 — correct.
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Problem 2:
The car crashes into a wall and stops in
0.8 s.
The wall pushes back on the car with a force of
–16,000 N (negative because it’s opposite to the car’s motion).
Impulse = F × t = (–16,000 N) × (0.8 s) =
–12,800 kg·m/s
✔ Check: 16,000 × 0.8 = 12,800 → with negative sign: –12,800 — correct.
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Problem 3:
Shandra kicks the soccer ball with a force of
25 N, contact time =
0.32 s.
J = 25 N × 0.32 s =
Let’s compute:
25 × 0.32 = 25 × (32/100) = (25 × 32)/100 = 800 / 100 =
8.0 kg·m/s
✔ Check: 25 × 0.3 = 7.5, and 25 × 0.02 = 0.5 → total 8.0 — correct.
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Final Answer:
1. 4.8 kg·m/s
2. –12,800 kg·m/s
3. 8.0 kg·m/s
Parent Tip: Review the logic above to help your child master the concept of momentum and impulse worksheet.