Q. 71 FIGURE P11.71 shows a collision ... [FREE SOLUTION]

91影视

Chapter 11: Q. 71 (page 291)

FIGURE P11.71 shows a collision between three balls of clay. The three hit simultaneously and stick together. What are the speed and direction of the resulting blob of clay?

Short Answer

Expert verified

Speed of the resulting blob of clay is 0.84 m/s and the direction is $胃 = 72.85 掳$

Step by step solution

Step 1. Given information is :Mass of three balls of clay are 40g, 30g and 20g with speed and direction as shown in figure.

We need to find the speed and direction of the resulting blob of clay.

Step 2. Using law of conservation of Momentum

Let the balls of clay with mass 40g, 30g and 20g as 1, 2 and 3 respectively.

$\overset{鈫�}{v_{1}} = v_{1} \cos 45 掳 \overset{鈫�}{i} - v_{1} \sin 45 掳 \overset{鈫�}{j} = 2.82 m / s \overset{鈫�}{i} - 2.82 m / s \overset{鈫�}{j} \overset{鈫�}{v_{2}} = - v_{2} \overset{鈫�}{i} = - 3 m / s \overset{鈫�}{i} \overset{鈫�}{v_{3}} = v_{3} \overset{鈫�}{j} = 2 m / s \overset{鈫�}{i} - 2.82 m / s \overset{鈫�}{j}$

Using Law of conservation of momentum for both axes,

For x-axis,

$m_{1} v_{1} \cos 45 掳 + m_{2} (- v_{2}) = (m_{1} + m_{2} + m_{2}) v_{f i n a l} 0.04 k g 脳 2.82 m / s - 0.03 k g 脳 3 m / s = 0.09 k g 脳 v_{f i n a l} v_{f i n a l} = 0.25 m / s$

For y-axis,

localid="1648151136846" $m_{1} (- v_{1} \sin 45 掳) + m_{3} v_{3} = (m_{1} + m_{2} + m_{3}) v_{f i n a l} - 0.04 k g 脳 2.82 m / s + 0.02 k g 脳 2 m / s = 0.09 k g 脳 v_{f i n a l} v_{f i n a l} = 0.81 m / s S p e e d o f t h e r e s u l t i n g b l o b w i l l b e = \sqrt{{(v_{f i n a l . x})}^{2} + {(v_{f i n a l . y})}^{2}} = \sqrt{{(0.25)}^{2} + {(0.81)}^{2}} = 0.84 m A n d a n g l e i s : \tan 胃 = \frac{v_{f i n a l . y}}{v_{f i n a l . x}} 胃 = 72.85 掳$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

FIGURE P11.71 shows a collision between three balls of clay. The three hit simultaneously and stick together. What are the speed and direction of the resulting blob of clay?

Short Answer

Step by step solution

Step 1. Given information is :Mass of three balls of clay are 40g, 30g and 20g with speed and direction as shown in figure.

Step 2. Using law of conservation of Momentum

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Electricity

Work Energy and Power

Electric Charge Field and Potential

Magnetism

Conservation of Energy and Momentum

Further Mechanics and Thermal Physics

Study anywhere. Anytime. Across all devices.