A billiard ball moving at 5.10m/s strikes a stationary ball of the same mass. Af

Question

A billiard ball moving at 5.10m/s strikes a stationary ball of the same mass. After thecollision, the first ball moves at 4.18m/s, at an angle of 35.0° with respectto the original line of motion. (a) Find the velocity (magnitude and direction)of the second ball after collision.
1 m/s
2° (with respect to the original line ofmotion, include the sign of your answer; consider the sign of thefirst ball's angle)
(b) Was the collision inelastic or elastic? 3 inelastic elastic A billiard ball moving at 5.10m/s strikes a stationary ball of the same mass. After thecollision, the first ball moves at 4.18m/s, at an angle of 35.0° with respectto the original line of motion. (a) Find the velocity (magnitude and direction)of the second ball after collision.
1 m/s
2° (with respect to the original line ofmotion, include the sign of your answer; consider the sign of thefirst ball's angle)
(b) Was the collision inelastic or elastic? 3 inelastic elastic (a) Find the velocity (magnitude and direction)of the second ball after collision.
1 m/s
2° (with respect to the original line ofmotion, include the sign of your answer; consider the sign of thefirst ball's angle)
(b) Was the collision inelastic or elastic? 3 inelastic elastic 3 inelastic elastic 3 inelastic elastic 3

Explanation / Answer

   for the simplicity let us choose the x-axis to bealong the line of motion
(a)
   if we apply the conservation of momentum in the xdirection we get
   m (5.10 m / s) + 0 = m (4.18 m / s)cos35.0o + m v2f cos
   v2f cos = ........ m / s......... (1)
   if we apply the conservation of momentum inthe y direction we get
   0 = m (4.18 m / s)sin35.0o + m v2f sin
   v2f sin = - ........ m /s .......... (2)
   divide (2) / (1)
   tan = ..........
   = - .........o
   v2f = ......... m / s at -60.0o
(b)
   the initia; kinetic energy is given by
   KEi = (1 / 2) mv1i2 + 0
          = (1 / 2) m(4.18 m / s)2
   KEf = (1 / 2) m v1f2+ (1 / 2) m v2f2
   if KEf = KEi then the collisionis an elastic collision

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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