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 vc = 21.3 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 41.0 above the x-axis. Determine the initial speed of the truck and the final speed of the wreckage.

Question Part Points Submissions Used A car with a mass of 980 kg is initially traveling east toward an intersection with a speed of vc = 21.3 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 41.0 above the x-axis. Determine the initial speed of the truck and the final speed of the wreckage. See if you can write a statement of conservation of momentum in both the x and y direction and then eliminate the final speed of the wreckage in order to determine the initial speed of the truck. m/s

Explanation / Answer

balancing momentum,

980 x 21.3i + 1500 x u j = (980+1500)v(cos41 i + sin41 j)

s0,

980 x 21.3 = (980 +1500)vcos41

v = 11.15 m/s ........final speed of wreckage

and 1500u = (980 +1500) x 11.15 x sin41

u = 12.10 m/s .......initial speed of truk

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