There are the three particles shown in the Fig. 8.16, with (m=1.00 mathrm{~kg}) and (M=2 m). The

Question:

There are the three particles shown in the Fig. 8.16, with \(m=1.00 \mathrm{~kg}\) and \(M=2 m\). The three particles are aligned in the direction of their centers, and no sources of friction are present. The two particles each of mass \(M\) are attached to a spring of negligible mass and elastic constant \(k=200 \mathrm{~N} / \mathrm{m}\), and are at rest. The \(m\) particle is initially thrown toward the left \(M\) particle with a velocity \(v_{0}=6.00 \mathrm{~m} / \mathrm{s}\). Assuming that the collision between \(m\) and \(M\) is completely inelastic, determine:

1. the energy \(\Delta E\) lost in the collision;

2. the velocity of the center of mass \(v_{c m}\) of the system;

3. the maximum compression \(\Delta x\) of the spring after the impact;

4. the pulsation \(\omega\) with which the system oscillates about its center of mass.

Fig. 8.16

image text in transcribed

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question
Question Posted: