A body of mass moving with an unknown velocity of

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Linear Momentum · Linear Momentum

Problem

A body of mass

m_1

moving with an unknown velocity of

v_1 \hat{i}

, undergoes a collinear collision with a body of mass

m_2

moving with a velocity

v_2 \hat{i}

. After collision,

m_1

and

m_2

move with velocities of

v_3 \hat{i}

and

v_4 \hat{i}

, respectively. If

m_2 = 0.5 m_1

and

v_3 = 0.5 v_1

, then

v_1

is : (1)

v_4 - \frac{v_2}{2}

(2)

v_4 - v_2

(3)

v_4 - \frac{v_2}{4}

(4)

v_4 + v_2