Question

Which of the following has the least momentum?

A .01 kg mass moving at 200 m/s
B 1 kg mass moving at 35 m/s
C 100 kg mass moving at 3 m/s
D 2,000 kg mass moving at 0.1 m/s

Answer 1

After calculating momentum using the formula p = mv for each option, Option A, which is a 0.01 kg mass moving at 200 m/s, has the least momentum at 2 kg·m/s.

Step-by-step explanation:

To find which object has the least momentum, we need to use the formula for momentum, which is p = mv, where p represents momentum, m is mass, and v is velocity. We calculate the momentum for each option as follows:

• Option A: Momentum = 0.01 kg × 200 m/s = 2 kg·m/s
• Option B: Momentum = 1 kg × 35 m/s = 35 kg·m/s
• Option C: Momentum = 100 kg × 3 m/s = 300 kg·m/s
• Option D: Momentum = 2,000 kg × 0.1 m/s = 200 kg·m/s

Thus, the object with the least momentum is Option A, a 0.01 kg mass moving at 200 m/s with a momentum of 2 kg·m/s.