Jack (mass 55 kg) pushes off from the edge of the ice rink and begins moving eas

Question

Jack (mass 55 kg) pushes off from the edge of the ice rink and begins moving east with a speed of 8m/s. He collides with Jill (mass 48 kg) who is initially at rest. After the collision, Jack is traveling at 5 m/s in a direction of 34 degrees north of east. What is Jill's velocityafter the collision? Jack (mass 55 kg) pushes off from the edge of the ice rink and begins moving east with a speed of 8m/s. He collides with Jill (mass 48 kg) who is initially at rest. After the collision, Jack is traveling at 5 m/s in a direction of 34 degrees north of east. What is Jill's velocityafter the collision?

Explanation / Answer

Here ,

m1 = 55 Kg

u1 = 8 i m/s

v1 = 5 * (cos(34) i + j * sin(34))

m2 = 48 Kg

Using conservation of momentum

m1 * u1 = m1 * v1 + m2 * v2

55 * 8 i = 55 * 5 * (cos(34) i + j * sin(34)) + 48 * v2

v2 = 4.42 i - 3.204 j m/s

v2 = sqrt(4.42^2 + 3.204^2) at arctan(3.204/4.42) degree

v2 = 5.46 m/s at 36 degree south of east

the velocity of jill is 5.46 m/s at 36 degree south of east

Related Questions

Navigate

• Browse (All)
• Browse J
• Subjects

---

---

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