Question

A 7 gram bullet travelling horizontally at 380 m/s, pierces into your 2kg copy of Halliday, Resnick and Walker sitting on your table. The table and book have a coefficient of kinetic friction of k=0.3.

Find the distance, in meters, that the book and bullet will slide on the table before coming to rest​

Answer 1

Answer:

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Answer 2

Explanation:

Given A 7 gram bullet travelling horizontally at 380 m/s, pierces into your 2kg copy of Halliday, Resnick and Walker sitting on your table. The table and book have a coefficient of kinetic friction of k=0.3.Find the distance, in meters, that the book and bullet will slide on the table before coming to rest

• So conservation of momentum on the bullet and book will be  
•                               m1v1 = m2v2  
• So mass of bullet = m1 = 7/1000 kg
• Velocity of bullet = V1 = 380 m/s
• Mass of book = m2 = 2 kg
• Velocity of book = v
•       So we get
•                             7/1000 x 380 = 2 x v2
•                                   V2 = 266 / 200
•                                   V2 = 1.33 m/s
• Now during the resistance of motion of book there is friction
•               So a = - µg
•                        = - 0.3 x 10
•                    A = - 3 m/s^2
• Now we have Newton’s second law of motion
•                       V^2 = u^2 – 2aS
•                       0 = (1.33)^2 – 2 x 3 x S (final velocity v = 0)
•                      6S = 1.7689
•            Or S = 1.7689 / 6
•           Or S = 0.2948 m

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https://brainly.in/question/10643133