Question

8) A 0.280 kg glider moving at a 0.900 ?̂ m/s on horizontal track collides elastically with a second glider initially at rest. After the collision the velocity of the first glider is a
0.240 ?̂ m/s. What is the mass of the second glider?

Answer 1

here,

mass of glider 1, m1 = 0.28 kg

initial velocity of 1 , u1 = 0.9 i m/s

final velocity of 1 , v1 = 0.24 i m/s

mass of glider 2 be m2

let the final velocity of 2 be v2

using conservation of momentum

m1 * u1 = m1 * v1 + m2 * v2

0.28 * 0.9 = 0.28 * 0.24 + m2 * v2 .....(1)

and

using conservation of kinetic energy

0.5 * m1 * u1^2 = 0.5 * m1 * v1^2 + 0.5 * m2 * v2^2

0.28 * 0.9^2 = 0.28 * 0.24^2 + m2 * v2^2 .....(2)

from (1) and (2)

m2 = 0.16 kg

v2 = 1.14 i m/s

the mass of second glider is 0.16 kg