Question

1) The kinetic energy of a .500 kg glider(glider A) moving on an air track is 1.00 J. Find the speed of glider A.

2)Two gliders are moving toward each other. Glider A has a mass of 500 g and is moving with a velocity of 40 cm/s. Glider B has a mass of 400 g and is moving with a velocity of -50 cm/s. After a head-on collision, glider A moves with a velocity of 10 cm/s and glider B moves with a velocity of 50 cm/s.

a) Calculate the total initial and final momenta of the two gliders and determine whether linear momentum is conserved in this collision.

b) Calculate the total initial and final kinetic energies of the two gliders and determine whether kinetic energy is conserved in this collision.

Answer 1

ANSWER NO: 1

Kinetic energy

So, the speed of glider A is 2 m/s.

ANSWER NO: 2

NOTE: I have solved this question before... but in that question, the initial velocity of glider A was given to be 40 cm/s². But in this question, it is 40 m/s²(Units are different). So, change it if its a typing mistake by you.

PART A:

Initial momenta

Final momenta

Hence linear momentum is not conserved.

PART B:

Initial kinetic energy

Final kinetic energy

Hence kinetic energy is not conserved.