Chapter 6, Problem 51P

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Chapter
Section

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

# A 2.00 × 1O3-kg car moving cast at 10.0 m/s collides with a 3.00 × 103-kg car moving north. The cars stick together and move as a unit after the collision, at an angle of 40.0° north of east and a speed of 5.22 m/s. Find the speed and direction of the 3.00 × 103-kg car before the collision.

To determine
Initial speed and direction of 3.00 ×103 kg car.

Explanation

Given Info: Mass of the car 1 is m1=2.00Ã—103Â kg , mass of the car 2 is m2=3.00Ã—103kg , initial velocity of car1towards east is v1=10.0Â m/s , final velocity of combination of both car is vf=5.22Â m/s Take eastward as +xâˆ’axis and northward as +yâˆ’axis Set the initial xâˆ’momentum as 0 .

Explanation:

Apply conservation of momentum in yâˆ’direction .

0+(m2v2)i=(m1+m2)vfsinÎ¸ (1)

• m1 is the mass of the car1.
• m2 is theÂ  mass of the car 2.
• v2i is the initial velocity of the car2.
• vf is the final velocity of combination of both car
• Î¸ is the angle by which both car moves together after collision

Substitute 3.00Ã—103â€‰kg for m2 , 2

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