**Bullet Through a Board Physics Problem***A bullet is fired through a board, 0.28 cm thick, with its line of motion perpendicular to the face of the board. If it enters with a speed of 50 m/s and emerges with a speed of 15 m/s, what is the bullet's acceleration in m/s² as it passes through the board?*To solve this problem, we need to apply the principles of kinematics. We are given the following information:- Initial speed of the bullet, \( v_i = 50 \) m/s- Final speed of the bullet, \( v_f = 15 \) m/s- Thickness of the board, \( d = 0.28 \) cm \( = 0.0028 \) mUsing the kinematic equation:\[ v_f^2 = v_i^2 + 2ad \]Where:- \( v_f \) is the final velocity- \( v_i \) is the initial velocity- \( a \) is the acceleration- \( d \) is the distance traveled through the boardWe need to solve for the acceleration \( a \).Rearranging the formula to solve for \( a \):\[ a = \frac{v_f^2 - v_i^2}{2d} \]Plugging in the given values:\[ a = \frac{(15)^2 - (50)^2}{2 \cdot 0.0028} \]\[ a = \frac{225 - 2500}{0.0056} \]\[ a = \frac{-2275}{0.0056} \]\[ a \approx -406250 \, \text{m/s}^2 \]The negative sign indicates that the bullet is decelerating as it passes through the board. The bullet's acceleration is approximately \( -406250 \, \text{m/s}^2 \).

Given : thickness of board, t = 0.28 cm = 0.0028 m speed with which it enters, u = 50…

A bullet is fired through a board, 0.28 cm thick, with its line of motion perpendicular to the face of the board. If it enters with a speed of 50 m/s and emerges with a speed of 15 m/s, what is the bullet's acceleration in m/s as it

A bullet is fired through a board, 0.28 cm thick, with its line of motion perpendicular to the face of the board. If it enters with a speed of 50 m/s and emerges with a speed of 15 m/s, what is the bullet's acceleration in m/s as it

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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