Question

which one of the following statements describing the two objects is true?

v = 2 m/s v = 5 m/s

m = 5 kg m = 2 kg

object a object b

○ object a and object b have the same amount of momentum.
○ object a has more momentum than object b.
○ object b has more momentum than object a.

Explanation:

Step1: Recall momentum formula

Momentum \( p = m \times v \), where \( m \) is mass and \( v \) is velocity.

Step2: Calculate momentum of Object A

For Object A: \( m_A = 5 \, \text{kg} \), \( v_A = 2 \, \text{m/s} \).
\( p_A = m_A \times v_A = 5 \times 2 = 10 \, \text{kg·m/s} \).

Step3: Calculate momentum of Object B

For Object B: \( m_B = 2 \, \text{kg} \), \( v_B = 5 \, \text{m/s} \).
\( p_B = m_B \times v_B = 2 \times 5 = 10 \, \text{kg·m/s} \).

Step4: Compare momenta

\( p_A = 10 \, \text{kg·m/s} \) and \( p_B = 10 \, \text{kg·m/s} \), so they are equal.

Answer:

Object A and Object B have the same amount of momentum.