Which object listed below has the greatest momentum if all are moving in the same direction?

• A. A $10 \mathrm{kg}$ object moving at $2 m/s$
• B. A $2 \mathrm{kg}$ object moving at $10 m/s$
• C. A $20 \mathrm{kg}$ object moving at $1 m/s$
• D. A $5 \mathrm{kg}$ object moving at $4 m/s$

Answer: (C)

Verified step by step guidance

1. Recall that momentum (\[p\]) is defined as the product of an object's mass (\[m\]) and its velocity (\[v\]), given by the formula: \[p = m \times v\].
2. Calculate the momentum for each object by multiplying its mass and velocity:
3. For the 10 kg object moving at 2 m/s: \[p_1 = 10 \times 2\].
4. For the 2 kg object moving at 10 m/s: \[p_2 = 2 \times 10\].
5. For the 20 kg object moving at 1 m/s: \[p_3 = 20 \times 1\], and for the 5 kg object moving at 4 m/s: \[p_4 = 5 \times 4\]. Compare all these values to determine which is greatest.