From the skid marks a highway patrolman knows the final directions of two cars which have collided.The collision happened on a slippery road so you can ignore friction. Assuming that the masses of thecars, m, and m,, as well as velocities u, and u,, and angles 0, and 0, are given, in the box below writethe system of equations that could be solved to find the initial velocities of the cars, v, and v,. Solve forv, and v2.'n'U,0.1

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Asked Dec 9, 2019
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From the skid marks a highway patrolman knows the final directions of two cars which have collided.
The collision happened on a slippery road so you can ignore friction. Assuming that the masses of the
cars, m, and m,, as well as velocities u, and u,, and angles 0, and 0, are given, in the box below write
the system of equations that could be solved to find the initial velocities of the cars, v, and v,. Solve for
v, and v2.
'n'
U,
0.
1
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From the skid marks a highway patrolman knows the final directions of two cars which have collided. The collision happened on a slippery road so you can ignore friction. Assuming that the masses of the cars, m, and m,, as well as velocities u, and u,, and angles 0, and 0, are given, in the box below write the system of equations that could be solved to find the initial velocities of the cars, v, and v,. Solve for v, and v2. 'n' U, 0. 1

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Expert Answer

Step 1

Using conservation of momentum along x direction,

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ту 3 ти сos 6, +m,u, сos @,

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Step 2

Using conservation of momentum along y direction,

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т, (-v) - ти, sin e, +тu, sin @,

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Step 3

Velocities v1 and v2 are,

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m2 |u2 cos 8, т 4 = 4, cos & + | U, sin & т, V½ =-u, sin 6, -

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