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aleksandrvk [35]
3 years ago
10

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

29.0 kg and its horizontal component of velocity is 8.00 m/s when the 65.0 kg performer catches it. If the performer is on nearly frictionless roller skates, what is his recoil velocity in meters per second?
Physics
1 answer:
Phantasy [73]3 years ago
3 0

Answer:

2.4681 m/s

Explanation:

m_1 = Mass of cannon ball = 29 kg

m_2 = Mass of performer = 65 kg

u_1 = Initial Velocity of cannon ball = 8 m/s

u_2 = Initial Velocity of performer = 0 m/s

v = Velocity of combined mass

As the linear momentum of the system conserved

m_1u_1 + m_2u_2 =(m_1 + m_2)v\\\Rightarrow v=\frac{m_1u_1 + m_2u_2}{m_1 + m_2}\\\Rightarrow v=\frac{29\times 8 + 65\times 0}{29 + 65}\\\Rightarrow v=2.4681\ m/s

The recoil velocity is 2.4681 m/s

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