Question

to answer this question, first click here to view the associated video. two objects have the same momentum. which of the following is true? i. the masses of the objects are equal. ii. the speeds of the objects are equal. iii. the velocities of the objects are equal. iv. the direction of motion of each object is the same. iv only ii and iv ii only ii and iii iii only i only i and ii

Explanation:

Momentum is a vector quantity given by \( p = mv \), where \( m \) is mass and \( v \) is velocity. If two objects have the same momentum, their masses and velocities can vary as long as the product \( mv \) is the same. However, since momentum is a vector, the direction of motion (which is part of velocity) must be the same. Masses (\(m\)) don't have to be equal (\(m_1v_1=m_2v_2\) doesn't imply \(m_1 = m_2\)), speeds (magnitude of velocity) don't have to be equal (because \(v\) is a vector and direction matters), and velocities (\(v\) is a vector with magnitude and direction) don't have to be equal (only the product \(mv\) matters for momentum equality). But the direction of motion (a component of velocity for momentum vector) must be the same.

Answer:

IV only