Solution Found!
Answer: A Ballistic Pendulum. A 12.0-g rifle bullet is
Chapter 8, Problem 43E(choose chapter or problem)
A Ballistic Pendulum. A \(text { 12.0-g }\) rifle bullet is fired with a speed of \(380 \mathrm{~m} / \mathrm{s}\) into a ballistic pendulum with mass \(6.00 \mathrm{~kg}\), suspended from a cord \(70.0 \mathrm{~cm}\) long (see Example 8.8 in Section 8.3). Compute (a) the vertical height through which the pendulum rises, (b) the initial kinetic energy of the bullet, and (c) the kinetic energy of the bullet and pendulum immediately after the bullet becomes embedded in the pendulum.
Equation Transcription:
Text Transcription:
12.0-g
380 m/s
6.00 kg
70.0 cm
Questions & Answers
QUESTION:
A Ballistic Pendulum. A \(text { 12.0-g }\) rifle bullet is fired with a speed of \(380 \mathrm{~m} / \mathrm{s}\) into a ballistic pendulum with mass \(6.00 \mathrm{~kg}\), suspended from a cord \(70.0 \mathrm{~cm}\) long (see Example 8.8 in Section 8.3). Compute (a) the vertical height through which the pendulum rises, (b) the initial kinetic energy of the bullet, and (c) the kinetic energy of the bullet and pendulum immediately after the bullet becomes embedded in the pendulum.
Equation Transcription:
Text Transcription:
12.0-g
380 m/s
6.00 kg
70.0 cm
ANSWER:
Solution 43E
Step 1:
Mass of the bullet is, .
Mass of the pendulum is, .
Initial speed of the bullet was, .
Initial speed of the pendulum was, .
By the law of conservation of linear momentum,
.
This is the velocity of the whole system which consists the pendulum and the bullet.