A 0.159 kg glider is moving to the right on a frictionless, horizontal air track

Question

A 0.159 kg glider is moving to the right on a frictionless, horizontal air track with a speed of 0.860 m/s . It has a head-on collision with a 0.298 kg glider that is moving to the left with a speed of 2.30 m/s . Suppose the collision is elastic. Find the magnitude of the final velocity of the 0.159 kg glider. (Final velocity of glider 1 was equal to -3.26 m/s) Find the magnitude of the final velocity of the 0.298 kg glider. Find the direction of the final velocity of the 0.298 kg glider. Having trouble performing the equations in order to get the velocity for slider of .298kg. Please include the detailed substitutions for the problem.

Explanation / Answer

m1 = 0.159 kg, m2 = 0.298 kg, u1 = 0.86 m/s, u2 =-2.3 m/s

Elastic collision :

From conservation mometum

m1u1+m2u2 =m1v1+m2v2 ..(1)

From conservation of kinetic energy

(1/2)m1u1^2+(1/2)m2u2^2 =(1/2)m1v1^2+(1/2)m2v2^2 ... (2)

From (1) and (2) equations

v1 = [(m1-m2)u1/(m1+m2)] +[2m2u2/(m1+m2)]

v1 = [(0.159-0.298)*0.86/(0.159+0.298)] - [2*0.298*2.3/(0.159+0.298)]

v1 = - 0.262 -2.9996

v1 =-3.26 m/s

v2 = [(m2-m1)u2/(m1+m2)] +[2m1u1/(m1+m2)]

v2 = [-(0.298-0.159)*2.3/(0.159+0.298)] + [2*0.159*0.86/(0.159+0.298)]

v2 = - 0.6996+0.598

v2 = - 0.1 m/s

Direction of final velocity of 0.298 kg glider is left side

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

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