A 20-kg object sitting at rest is struck elastically in a head-on collision with a 10-kg object initially moving at 3.0 m/s. Find the final velocity of the 10-kg object after the collision.

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Answer:1m/s

Explanation: As the stationary ball is hit by the moving ball ,the two moves together after collision, with a single velocity. The attached photo further explains how the answer is calculated

Ver imagen faithidahosa416

When stationary ball is hit by the moving ball, both the balls moves together after collision. The final velocity of the object after collision is 1 m/s.

When stationary ball is hit by the moving ball, both the balls moves together after collision

The conservation of momentum,

[tex]\bold {m_1 u_1 + m_2u_2 = (m_1+m_2) V}\\[/tex]

Where,

m1 - initial mass = 20 kg

m2 - final mass =10 kg

u1 - initial velocity = 0 m/s (object at rest)

u2 - final velocity = 3 m/s

V- velocity after collision = ?

Put the values int he formula and calculate for V2,

[tex]\bold { 10 \times 0 + 20 \times 3 = (10+20) V}\\\\\bold {V = \dfrac {30}{30}}\\\\\bold {V = 1\ m/s}[/tex]

Therefore, final velocity of the object after collision is 1 m/s.

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