A 0.00400 kg bullet traveling horizontally with speed 1.00 x 103 m/s strikes a 21.1 kg door, embedding itself 10.2 cm from the side opposite the hinges as shown in the figure below. The 1.00 m wide door is free to swing on its frictionless hinges. Hinge (a) Before it hits the door, does the bullet have angular momentum relative the door's axis of rotation? Yes O No (b) If so, evaluate this angular momentum (in kg • m²/s). (If not, enter zero.) kg - m2/s If not, explain why there is no angular momentum. (c) Is mechanical energy of the bullet-door system constant in this collision? Answer without doing a calculation. Yes O No (d) At what angular speed (in rad/s) does the door swing open immediately after the collision? rad/s (e) Calculate the total energy of the bullet-door system and determine whether it is less than or equal to the kinetic energy of the bullet before the collision. (Enter your answers in (.נ KEF = KE, = (f) What If? Imagine now that the door is hanging vertically downward, hinged at the top, so that the figure is a side view of the door and bullet during the collision. What is the maximum height (in cm) that the bottom of the door will reach after the collision? cm

A 0.00400 kg bullet traveling horizontally with speed 1.00 x 103 m/s strikes a 21.1 kg door, embedding itself 10.2 cm from the side opposite the hinges as shown in the figure below. The 1.00 m wide door is free to swing on its frictionless hinges. Hinge (a) Before it hits the door, does the bullet have angular momentum relative the door's axis of rotation? Yes O No (b) If so, evaluate this angular momentum (in kg • m²/s). (If not, enter zero.) kg - m2/s If not, explain why there is no angular momentum. (c) Is mechanical energy of the bullet-door system constant in this collision? Answer without doing a calculation. Yes O No (d) At what angular speed (in rad/s) does the door swing open immediately after the collision? rad/s (e) Calculate the total energy of the bullet-door system and determine whether it is less than or equal to the kinetic energy of the bullet before the collision. (Enter your answers in (.נ KEF = KE, = (f) What If? Imagine now that the door is hanging vertically downward, hinged at the top, so that the figure is a side view of the door and bullet during the collision. What is the maximum height (in cm) that the bottom of the door will reach after the collision? cm

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

Please d, e and f . Thank you!

A 0.00400 kg bullet traveling horizontally with speed 1.00 x 103 m/s strikes a 21.1 kg door, embedding itself 10.2 cm from the side opposite the hinges as shown in the figure below.
The 1.00 m wide door is free to swing on its frictionless hinges.
Hinge
(a) Before it hits the door, does the bullet have angular momentum relative the door's axis of rotation?
O Yes
O No
(b) If so, evaluate this angular momentum (in kg · m2/s). (If not, enter zero.)
kg · m2/s
If not, explain why there is no angular momentum.
(c) Is mechanical energy of the bullet-door system constant in this collision? Answer without doing a calculation.
O Yes
O No
(d) At what angular speed (in rad/s) does the door swing open immediately after the collision?
rad/s
(e) Calculate the total energy of the bullet-door system and determine whether it is less than or equal to the kinetic energy of the bullet before the collision. (Enter your answers in
ל.נ
KEF =
KE; =
(f) What If? Imagine now that the door is hanging vertically downward, hinged at the top, so that the figure is a side view of the door and bullet during the collision. What is the
maximum height (in cm) that the bottom of the door will reach after the collision?
cm

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Step 2 :Calculation of the final velocity of the bullet-door system

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Step 3 :Calculation of the angular velocity of the bullet-door system

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Step 4 :Calculation of the final kinetic energy

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Step 5 : Calculation of the initial kinetic energy

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Step 6 :Calculation of the maximum height

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