Question

object x and object y have the same momentum. x is moving faster than y.
select the true statement.
choose 1 answer:
a x and y have the same mass.
b x is more massive than y.
c x is less massive than y.
d we dont have enough information to compare the masses of x and y.

Explanation:

Step1: Recall the momentum formula

Momentum formula is \(p = mv\) (where \(p\) is momentum, \(m\) is mass, \(v\) is velocity). Given \(p_X=p_Y\), so \(m_Xv_X = m_Yv_Y\).

Step2: Analyze the relationship between mass and velocity

Since \(v_X>v_Y\) (Object \(X\) is moving faster than \(Y\)), from \(m_Xv_X = m_Yv_Y\), we can get \(m_X=\frac{m_Yv_Y}{v_X}\). Because \(v_X>v_Y\), then \(\frac{v_Y}{v_X}< 1\), so \(m_X < m_Y\).

Answer:

C. \(X\) is less massive than \(Y\).