Log In Start studying!

Select your language

Suggested languages for you:
Answers without the blur. Sign up and see all textbooks for free! Illustration

Q43PE

Expert-verified
College Physics (Urone)
Found in: Page 291

Answers without the blur.

Just sign up for free and you're in.

Illustration

Short Answer

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 \(10.0kg\)and the horizontal component of its velocity is \(8.00 m/s\)when the \(65.0kg\)performer catches it. If the performer is on nearly frictionless roller skates, what is his recoil velocity?

The velocity of the system after collision will be \(1.07 m/s\).

See the step by step solution

Step by Step Solution

Step 1: Definition of collision

According to collision theory, only a specific number of collisions between acceptable reactant particles with the correct orientation result in a detectable or noticeable change; these successful modifications are referred to as successful collisions.

Step 2: Given data

The velocity of cannon ball is \({v_c} = 8.00 m/s\)in right side.

The mass of the cannon ball is\({M_c} = 10.0kg\).

The velocity of the person is\({v_p} = 0\)

The mass of the person is\({M_p} = 65kg\)

The Collison is inelastic.

Step 3: Velocity of the system of players after the collision

By putting all the value into the equation we get

\(\begin{aligned}{M_c}{V_c} + {M_p}{V_p} &= + {M_T}{V_f}\\{V_f} &= \dfrac{{{M_v}{V_c} + {M_p}{V_p}}}{{{M_T}}}\\{V_f} &= \dfrac{{\left( {10} \right)\left( 8 \right) + \left( {65} \right)\left( 0 \right)}}{{\left( {10 + 65} \right)}}\\{V_f} &= 1.07\,m/s\end{aligned}\)…………………(1)

Hence the velocity of the system after collision will be\(1.07 m/s\). They will move towards right side as the velocity answer is positive.

Most popular questions for Physics Textbooks

Icon

Want to see more solutions like these?

Sign up for free to discover our expert answers
Get Started - It’s free

Recommended explanations on Physics Textbooks

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.