Two Sumo wrestlers are involved in an inelastic collision. The first wrestler, H

Question

Two Sumo wrestlers are involved in an inelastic collision. The first wrestler, Hakurazan, has a mass of 133kg  and moves forward along the positive x -direction at a speed of 3.6m/s . The second wrestler, Toyohibiki, has a mass of 163kg  and moves straight toward Hakurazan at a speed of 3.0m/s . Immediately after the collision, Hakurazan is deflected to his right by 36

Two Sumo wrestlers are involved in an inelastic collision. The first wrestler, Hakurazan, has a mass of 133kg and moves forward along the positive x -direction at a speed of 3.6m/s . The second wrestler, Toyohibiki, has a mass of 163kg and moves straight toward Hakurazan at a speed of 3.0m/s . Immediately after the collision, Hakurazan is deflected to his right by 36 degree (see the figure). 36 degree 3.0 m/s 3.6 m/s Please include a multiplication sign (*) to indicate that two units are being multiplied. In the collision, 10% of the wrestlers' initial total kinetic energy is lost. What is the angle at which Toyohibiki is moving immediately after the collision?

Explanation / Answer

Equate moment along y direction

Mh*Vh*sin 36 = Mt*Vt*sin x

x direction

Mh*Vh*cos 36 = Mt*Vt*cos x

so sin x / sin36 = cos x / cos 36

so x = 36 degrees, angle at which Toyohibiki is moving is 36 degrees

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