A car with a mass of 980 kg is initially traveling east toward an intersection w

Question

A car with a mass of 980 kg is initially traveling east toward an intersection with a speed of v 22.3 m/s and a 1500 kg pickup is traveling north toward the same intersection. The car and truck collide at the intersection and stick together. After the collision, the wreckage (car and truck) moves off in a direction of 39.0° above the x-axis. Determine the initial speed of the truck and the final speed of the wreckage in meters per second initial speed of the truck final speed of the wreckage m/s m/s

Explanation / Answer

let final veocity be V at an angle of 39 deg

horizontal component of velocity = Vcos39°

vertical component of velocity = Vsin39°

conservation of linear momnetum about X axis

m1v1 = (m1+m2)*Vcos42

980*22.3 = (980+1500)*Vcos39°

V = 11.34 m/s

conservation of linear momnetum about Y axis (vertical)

m2v2 = (m1+m2)*Vsin39°

1500*v2 = (980+1500)*11.34*sin39°

v2 = 11.80 m/s

speed od truck = v2 = 11.80 m/s

final speed of wreckage = V = 11.34 m/s

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