A particle of mass M moving with 6 m/s the positive x-axis direction makes a hea

Question

A particle of mass M moving with 6 m/s the positive x-axis direction makes a head-on elastic collision with a stationary particle of mass 3M. After collision, the two particles rebound along the x-axis. What is of the lighter object? 9. A 2 m horizontal uniform board weighs 100 N and has a 50 N point mass attached to its left end. Calculate the distance (in m) of the center of mass of the system from the left end of the board. A turntable undergoes constant acceleration from rest to 2 rev/s after turning 1.5 revolutions. Find the angular acceleration.

Explanation / Answer

8) m1 = M , u1 = 6 m/s, m2 = 3M , u2 =0

from conservation of momentum

m1u1 +m2u2 = m1v1 +m2v2

M*6 + 0 = M*v1 +3M*v2

6 = v1 +3 v2 .. (1)

for elastic collision

v2 - v1 = u1 - u2

v2 - v1 = 6 ..(2)

from (1) and (2) we get

v1 = -3 m/s, v2 = 3 m/s

velcoity of lighter object is 3 m/s along -x direction

10) wo = 0 , w = 2 rev/s, theta = 1.5 rev

for rotational kinematic equations

w^2 - wo^2 = 2*alpha *theta

2^2 -0 = 2*alpha*1.5

alpha = 1.33 rev/s^2

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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