Question

A 25.0 kg object moving at +15.0 m/s strikes a 15.0 kg
mass moving at -10.0 m/s. If the 25.0 kg object moves off
at -2.00 m/s, what is the velocity of the 15.0 kg object?

Answer 1

The final velocity of the 15 kg mass is 18.33 m/s.

Conservation of linear momentum

The final velocity of the 15 kg mass can be determined by applying the principles of conservation of linear momentum as follows;

$m_1 u_1 + m_2 u_2 = m_1 v_1 + m_2 v_2$

Where;

• m₁ is the mass of the first object = 25 kg
• u₁ is the initial velocity of the first object = 15 m/s
• m₂ is the mass of the second object = 15 kg
• u₂ is the initial velocity of the second object = -10 m/s
• v₁ is the final velocity of the first object = -2 m/s
• v₂ is the final velocity of the second object

Thus, the final velocity of the 15 kg mass after the collision is 18.33 m/s.

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