A 0.153 kg glider is moving to the right on a frictionless, horizontal air track with a speed of 0.700 m/s. It has a head-on collision with a 0.308 kg glider that is moving to the left with a speed of 2.16 m/s. Suppose the collision is elastic.

Question

Kamora Perez

Physics

5 January, 04:25

A 0.153 kg glider is moving to the right on a frictionless, horizontal air track with a speed of 0.700 m/s. It has a head-on collision with a 0.308 kg glider that is moving to the left with a speed of 2.16 m/s. Suppose the collision is elastic.

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Answers (1)

Know the Answer?

Sawyer Melton · Answer 1

3.1216 m/s.

Explanation:

Given:

M1 = 0.153 kg

v1 = 0.7 m/s

M2 = 0.308 kg

v2 = - 2.16 m/s

M1v1 + M2v2 = M1V1 + M2V2

0.153 * 0.7 + 0.308 * - 2.16 = 0.153 * V1 + 0.308 * V2

= 0.1071 - 0.66528 = 0.153 * V1 + 0.308 * V2

0.153V1 + 0.308V2 = - 0.55818. i

For the velocities,

v1 - v2 = - (V1 - V2)

0.7 - (-2.16) = - (V1 - V2)

- (V1 - V2) = 2.86

V2 - V1 = 2.86. ii

Solving equation i and ii simultaneously,

V1 = 3.1216 m/s

V2 = 0.2616 m/s