Four particles are in a 2-D plane with masses, x- and y- positions, andx- and y-

Question

Four particles are in a 2-D plane with masses, x- and y- positions, andx- and y- velocities as given in the table below: Vx Vy [ 5.2 kg |-2.5 m||-4.4 m|| 3.1 m/s| 4 m/s 2 || 8 kg ||-3.7 mil 3.6 m -4.9 m/s|| 5.1 m/s 3 8.9 kg 4.5 m -5.4 m-6 m/s 1.9 m/s 4 7.7 kg 5.6 m 2.5 m -4.2 m/s -3.1 m/s 1) What is the distance the center of mass is from the origin? m Submit You currently have O submissions for this question. Only 2 submission are allowed. You can make 2 more submissions for this question. 2) What is the x-component of the velocity of the center of mass? 2.85 m/s Submit You currently have 1 submissions for this question. Only 2 submission are allowed. You can make 1 more submissions for this question. 3) What is the y-component of the velocity of the center of mass? m/s Submit You can make 2 more submissions for this question.

Explanation / Answer

1) x_cm = (m1 x1 + m2 x2 + m3 x3 + m4 x4) / (m1 + m2 + m3 + m4)

x_cm = 0.904 m

Similarly, y_cm = (m1 y1 + m2 y2 + m3 y3 + m4 y4) / (m1 + m2 + m3 + m4)

= - 1.20 m

distance r = sqrt(x_cm^2 + y_cm^2) = 1.5 m

2) vx_cm = (m1 vx1 + m2 vx2 + m3 vx3 + m4 vx4) / (m1 + m2 + m3 + m4)

= -2.85 m/s

3)similarlty, vy_cm = 2.09 m/s

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.