Question

question 5 (1 point)
if the mass of an object is halved and the velocity is doubled, what happens to the momentum of the object?
o a there is not enough information to answer this question.
o b momentum is quadrupled.
o c momentum remains the same.
o d momentum is doubled.

Explanation:

Step1: Recall the momentum formula

Momentum formula is \(p = mv\).

Step2: Calculate the new momentum

Let the original mass be \(m\) and original velocity be \(v\), so original momentum \(p_1=mv\).
New mass \(m_2=\frac{m}{2}\), new velocity \(v_2 = 2v\).
New momentum \(p_2=m_2v_2=\frac{m}{2}\times2v\).
Simplify \(p_2=\frac{m\times2v}{2}=mv\).

Answer:

C. Momentum remains the same.