An air-track glider (mass=m) moves with initial velocity v before colliding with

Question

An air-track glider (mass=m) moves with initial velocity v before colliding with a second glider (mass= M), initially at reat. If they stick together after the collision, what value of M (expressed as a multiple or fraction f m) will cause the first glider to loss three-fourths of its kinetic energy ? An air-track glider (mass=m) moves with initial velocity v before colliding with a second glider (mass= M), initially at reat. If they stick together after the collision, what value of M (expressed as a multiple or fraction f m) will cause the first glider to loss three-fourths of its kinetic energy ? An air-track glider (mass=m) moves with initial velocity v before colliding with a second glider (mass= M), initially at reat. If they stick together after the collision, what value of M (expressed as a multiple or fraction f m) will cause the first glider to loss three-fourths of its kinetic energy ?

Explanation / Answer

for first glider

KEf = (1/4)*KEi

0.5*m*vf^2 = (1/4)*0.5*m*v^2

vf = v/2

now Apply conservation of momentum

iniial momentum = final momentum

m*v = (m + M)*vf

m*v = (m + M)*v/2

m = (m + M)/2

2*m = m + M

M = m <<<<------------Answer

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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