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In an intro momentum context, which of the following objects has the greatest momentum magnitude? (Use .)
A
A cart moving at
B
A ball moving at
C
A cart moving at
D
A box moving at
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Recall the formula for momentum: \(p = m \times v\), where \(p\) is momentum, \(m\) is mass, and \(v\) is velocity.
Calculate the momentum for each object by multiplying its mass by its velocity:
For the 3 kg cart moving at 3 m/s: \(p = 3 \text{ kg} \times 3 \text{ m/s} = 9 \text{ kg\cdot m/s}\).
For the 1 kg ball moving at 10 m/s: \(p = 1 \text{ kg} \times 10 \text{ m/s} = 10 \text{ kg\cdot m/s}\).
For the 2 kg cart moving at 6 m/s: \(p = 2 \text{ kg} \times 6 \text{ m/s} = 12 \text{ kg\cdot m/s}\), and for the 4 kg box moving at 2 m/s: \(p = 4 \text{ kg} \times 2 \text{ m/s} = 8 \text{ kg\cdot m/s}\). Compare all these values to determine which has the greatest momentum.