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During a circus act, an elderly performer thrills the crowd by catching a cannon ball shot at him. The cannon ball has a mass of 26.0 kg and its horizontal component of velocity is 8.50 m/s just before the 65.0 kg performer catches it. If the performer is initially motionless on nearly frictionless roller skates, what is his speed immediately after catching the cannon ball

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onyebuchinnaji

Answer:

the velocity of the elderly performer after catching the cannon ball is 3.4 m/s.

Explanation:

mass of the cannon ball, m₁ = 26 kg

initial velocity of the cannon ball, u₁ = 8.5 m/s

mass of the elderly performer, m₂ = 65 kg

Let the velocity of the elderly performer after catching the cannon ball = u₂

Apply the principle of conservation of linear momentum to determine the velocity of the elderly performer after catching the cannon ball.

m₁u₁ = m₂u₂

[tex]u_2 = \frac{m_1u_1}{m_2} \\\\u_2 = \frac{26 \times 8.5}{65} \\\\u_2 = 3.4 \ m/s[/tex]

Therefore, the velocity of the elderly performer after catching the cannon ball is 3.4 m/s.

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