Please show all work. We were not shown how to setup vector problems in class. A

Question

Please show all work. We were not shown how to setup vector problems in class.

A car mc = 1303 kg is traveling west through an intersection at a velocity of vc = 11 m/s when a truck mt = 1803 kg traveling south at vt = 12 m/s fails to yield and collides with the car. The vehicles become stuck together and slide on the asphalt with Uk = 0.5.

mc = 1303 kg
mt = 1803 kg
vc = 11 m/s
vt = 12 m/s

A) Write an expression for the systems velocity after the colision.

B) How far will the vehicles slide after the collison?

Please show all work. We were not shown how to setup vector problems in class.

A car mc = 1303 kg is traveling west through an intersection at a velocity of vc = 11 m/s when a truck mt = 1803 kg traveling south at vt = 12 m/s fails to yield and collides with the car. The vehicles become stuck together and slide on the asphalt with Uk = 0.5.

mc = 1303 kg
mt = 1803 kg
vc = 11 m/s
vt = 12 m/s

A) Write an expression for the systems velocity after the colision.

B) How far will the vehicles slide after the collison?

Explanation / Answer

a) using momentum conservation,

mc x vc (-i) + mtvt(-j) = (mc+mt)v

v = mcvc / (mc +mt) (-i) + mtvt/(mc +mt)(-j)

b) velocity = 1303 x 11 / (1303+1803) (-i) + 1803 x12 / (1303+1803) (-j)

= - 4.62i - 6.97j

speed= sqrt(i^2 +j^2) = 8.36 m/s

a = ug

v^2 - u^2 =2ad

0 - 8.36^2 = 2 x - 0.5 x 9.8 x d

d =7.13 m

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