# 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)?

Question
45 views

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)?

check_circle

Step 1

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

Step 2

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

Step 3

The initial speed of the...

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

### Collisions 