A 0.200 kg air-track glider moving at 1.20 m/s bumps into a 0.600 kg glider at rest.
a.) Find the total kinetic energy after collision if the collision is elastic.
b.) Find the total kinetic energy after collision if the collision is completely inelastic.

a) 0.144J

b) 0.12J

Explanation:

A 0.200 kg air-track glider moving at 1.20 m/s bumps into a 0.600 kg glider at rest. a.) Find the total kinetic energy after collision if the collision is elastic. b.) Find the total kinetic energy after collision if the collision is completely inelastic.

Given that

M1 = 0.2kg

M2 = 0.6kg

U1 = 1.2 m/s

Since both momentum and energy are conserved in elastic collisions, the total kinetic energy after collision will be

1/2M1U^2 + 1/2M2U^2

1/2 × 0.2 × 1.2^2 + 0

K.E = 0.144J

B) In elastic collision, only momentum is conserved

M1U1 + M2U2 = (M1 + M2)V

U2 = 0 since the object is at rest

0.2×1.2 + 0 = (0.2 + 0.6)V

0.24 = 0.8V

V = 0.24/0.8

V = 0.3 m/s

K.E = 1/2(M1+M2)V

K.E = 1/2 (0.2 + 0.6) × 0.3

K.E = 0.4 × 0.3

K.E = 0.12J

trig 15.3 cos

when jerome paddle in flowing river towards east the net speed of jerome will increase

so the net speed of jerome will be given as

now the speed of paul will be same as it is given as he is running on the ground

so

so here we can say since the speed of jerome is more so he will win the race

now as we know the distance so the time difference is given as

so jerome will reach first and the time difference will be 203.55 s or 3.4 min