Wo lacrosse players collide in midair. jeremy has a mass of 120 kg and is moving at a speed of 3 m/s. hans has a mass of 140 kg and is moving at a speed of –2 m/s. after the collision, they bounce away from each other, and jeremy is moving at a speed of –2.5 m/s. how fast is hans moving after the collision?

2.71 m/s fast Hans is moving after the collision.

Explanation:

Given that,

Mass of Jeremy is 120 kg ()

Speed of Jeremy is 3 m/s ()

Speed of Jeremy after collision is () -2.5 m/s

Mass of Hans is 140 kg ()

Speed of Hans is -2 m/s ()

Speed of Hans after collision is ()

Linear momentum is defined as “mass time’s speed of the vehicle”. Linear momentum before the collision of Jeremy and Hans is  

=

Substitute the given values,

= 120 × 3 + 140 × (-2)

= 360 + (-280)

= 80 kg m/s

Linear momentum after the collision of Jeremy and Hans is  

=

= 120 × (-2.5) + 140 ×

= -300 + 140 ×

We know that conservation of liner momentum,

Linear momentum before the collision = Linear momentum after the collision

80 = -300 + 140 ×

80 + 300 = 140 ×

380 = 140 ×

380/140=

= 2.71 m/s

2.71 m/s fast Hans is moving after the collision.

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