What is the momentum of a car of mass 1172.9 kg driven at 70 km/h? Give your answer to the nearest whole number.

Question

BlackTom AI · Accepted Answer

To determine momentum, use the formula p = m v, where m is mass and v is velocity in meters per second.
First, convert the given speed from kilometers per hour to meters per second: 70 km/h × (1000 m / 1 km) × (1 h / 3600 s) = 70 × 1000 / 3600 m/s = 70 × (5/18) m/s = 350/18 m/s ≈ 19.444... m/s.
Next, multiply by the mass: p = m v = 1172.9 kg × 19.444... m/s.
Breakdown of the multiplication: 1172.9 × 19 = 22285.1, and 1172.9 × 0.444... ≈ 1172.9 × (4/9) ≈ 4691.6 / 9 ≈ 521.289.
Combine the parts: p ≈ 22285.1 + 521.289 ≈ 22806.389 kg·m/s.
Rounding to the nearest whole number yields 22806 kg·m/s.
If you compare with a direct calculator approach, you would perform 1172.9 × 19.444... and obtain a result very close to 22806, confirming the same rounding outcome.
In summary, the momentum is found by converting velocity to m/s and applying p = m v, with careful arithmetic to maintain precision before rounding to the nearest integer.

MUF0121 Physics Unit 1 - Semester 2, 2025 7.5 Momentum

What is the momentum of a car of mass 1172.9 kg driven at 70 km/h? Give your answer to the nearest whole number.

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