[3] A small block of mass Mis initially suspended by a light string of length L. A bullet of mass mis fired horizontally into the block with initial speed v. The bullet then emerged very quickly from the other side of the block with a reduced speed v₁ = 25% ₁. Take M = 4.0 kg, m= 65 g, and L = 45 cm. (a) As the bullet penetrates the block, is the mechanical energy of the bullet-block system conserved? What about the linear momentum? Give brief justifications. Find the expression of the speed V of the block just after it is penetrated by the bullet. (b) (c) Find the minimum value of v, such that the block will be able to make a complete revolution about the pivot point of the string (A).

[3] A small block of mass Mis initially suspended by a light string of length L. A bullet of mass mis fired horizontally into the block with initial speed v. The bullet then emerged very quickly from the other side of the block with a reduced speed v₁ = 25% ₁. Take M = 4.0 kg, m= 65 g, and L = 45 cm. (a) As the bullet penetrates the block, is the mechanical energy of the bullet-block system conserved? What about the linear momentum? Give brief justifications. Find the expression of the speed V of the block just after it is penetrated by the bullet. (b) (c) Find the minimum value of v, such that the block will be able to make a complete revolution about the pivot point of the string (A).

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter7: Conservation Of Energy

Section: Chapter Questions

Problem 81P: Jane, whose mass is 50.0 kg, needs to swing across a river (having width D) filled with...

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[3] A small block of mass Mis initially suspended by a light string of length L. A bullet
of mass mis fired horizontally into the block with initial speed 7. The bullet then
emerged very quickly from the other side of the block with a reduced speed v₁ = 25%
V₁. Take M = 4.0 kg, m= 65 g, and L = 45 cm.
(a) As the bullet penetrates the block, is the mechanical energy of the bullet-block
system conserved? What about the linear momentum? Give brief justifications.
Find the expression of the speed V of the block just after it is penetrated by the
bullet.
(b)
(c)
Find the minimum value of v, such that the block will be able to make a
complete revolution about the pivot point of the string (A).

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