Eighth grade
1 answer:
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Answer:
Step-by-step explanation:
<u>Linear Momentum </u>
The momentum of a system of masses m1,m2,m3... with speeds v1,v2,v3,... is given by
When some interactions take place into the system of masses with no external forces interferring, the total momentum is not changed, which means that if the new speeds are v1', v2', v3'... then:
The problem relates the story of Batman (m1=100kg) who is initially assumed at rest and lands on a boat with mass m2=580 kg initially moving at 14 m/s to the positive reference. When the collision takes place, both masses join and a common speed is achieved by the common mass. Applying the conservation of momentum, we have
Since
Solving for
<h3>Answer: 38</h3>
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Explanation:
The square markers tell us that we have right angles (aka 90 degree angles) at angle XYZ and XWZ. They are congruent by definition.
Another pair of congruent angles is WXZ and YXZ which are the left-most angles of each triangle.
The sides XZ and XZ are congruent to each other (reflexive property)
Based on those three previous paragraphs, we can use the Angle Angle Side (AAS) congruence theorem to prove that the triangles are congruent.
Specifically we could write . The order of the letters is important so we know which letters pair up (eg: Y and W pair up as the 90 degree angles).
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In short, the triangles are identical copies of each other. The upper triangle reflects over the line XZ to get the lower triangle, and vice versa. This means the smaller corresponding pieces must also be the same.
In this case, WZ = YZ = 38