A 800- kg car collides with a 1300- kg car that was initially at rest at the origin of an x-y coordinate system. After the collision, the lighter car moves at 15.0 km/h in a direction of 35 o with respect to the positive x axis. The heavier car moves at 18 km/h at -47 o with respect to the positive x axis. What was the initial speed of the lighter car (in km/h)? What was the initial direction (as measured counterclockwise from the x-axis)?

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Asked Mar 3, 2019
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A 800- kg car collides with a 1300- kg car that was initially at rest at the origin of an x-y coordinate system. After the collision, the lighter car moves at 15.0 km/h in a direction of 35 o with respect to the positive x axis. The heavier car moves at 18 km/h at -47 o with respect to the positive x axis. 
What was the initial speed of the lighter car (in km/h)? 

What was the initial direction (as measured counterclockwise from the x-axis)? 

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Expert Answer

Step 1

From the law of conservation of momentum, the x component of the initial speed of the lighter car is,

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Step 2

From the law of conservation of momentum, the y component of the initial speed of the lighter car is,

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Step 3

The initial speed of the...

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