A 81.7-kg linebacker ("X") is running at 7.67 m/s directly toward the sideline of a football field. He tackles a93.0-kg running back ("O moving at 9.05 m/s straight toward the goal line, perpendicular to the originaldirection of the linebacker. As a result of the collision both players momentarily leave the ground and go outof-bounds at an angle relative to the sideline, as shown in the diagrams belowBEFORE IMPACTAFTER IMPACTWhat is the common speed of the players, immediately after their impact?Numberm/sWhat is the angle, , of their motion, relative to the sideline?Number

Question
Asked Oct 16, 2019
A 81.7-kg linebacker ("X") is running at 7.67 m/s directly toward the sideline of a football field. He tackles a
93.0-kg running back ("O moving at 9.05 m/s straight toward the goal line, perpendicular to the original
direction of the linebacker. As a result of the collision both players momentarily leave the ground and go out
of-bounds at an angle relative to the sideline, as shown in the diagrams below
BEFORE IMPACT
AFTER IMPACT
What is the common speed of the players, immediately after their impact?
Number
m/s
What is the angle, , of their motion, relative to the sideline?
Number
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A 81.7-kg linebacker ("X") is running at 7.67 m/s directly toward the sideline of a football field. He tackles a 93.0-kg running back ("O moving at 9.05 m/s straight toward the goal line, perpendicular to the original direction of the linebacker. As a result of the collision both players momentarily leave the ground and go out of-bounds at an angle relative to the sideline, as shown in the diagrams below BEFORE IMPACT AFTER IMPACT What is the common speed of the players, immediately after their impact? Number m/s What is the angle, , of their motion, relative to the sideline? Number

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Expert Answer

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Step 1

According to the conservation of momentum, the momentum of the linebacker,

Substitute the values,

Р -ти
1.7kg
— 626.6kg -ш/s
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Р -ти 1.7kg — 626.6kg -ш/s

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Step 2

According to the conservation of momentum, the momentum of the running back,

Substitute the values,

Р. — т,у,
Р- (93k8)(9.05 ms)
.05 ш/s
841.7kg m/s
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Р. — т,у, Р- (93k8)(9.05 ms) .05 ш/s 841.7kg m/s

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Step 3

According to the momentum, find the common speed after the collision,

Substitute the...

P (m
626.6kg m/s (81.7kg +93kg)v
626.6kg -m/s-(174.7kg)v
626.6kg m/s
174.7kg
=3.59m/s
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P (m 626.6kg m/s (81.7kg +93kg)v 626.6kg -m/s-(174.7kg)v 626.6kg m/s 174.7kg =3.59m/s

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Physics

Collisions

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