An Escort and a Camaro traveling at right angles collide and stick together. The Escort has...

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Physics

An Escort and a Camaro traveling at right angles collide andstick together. The Escort has a mass of 1200 kg and a speed of 20km/h in the positive x direction before the collision. The Camarohas a mass of 1500 kg and was traveling in the positive ydirection. After the collision, the two move off at an angle of 57o to the x axis. What was the speed of the Camaro?(inkm/h)

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4.3 Ratings (614 Votes)

m1 = 1200 kg                   m2 = 1500 kg


speeds before collision


u1x = 20 Km/h                   u1y = 0

u2x = 0                     u2y = ?

speeds after collision


v1x = v2x = V*cos57

v1y = v2y = V*cos57

initial momentum before collision


Pix = m1*u1x + m2*u2x

after collision final momentum

Pfx = m1*v1x + m2*v2x

from moentum conservation


total momentum is conserved


from momentum conservation total momentum is conserved

Pfx = Pix


m1*u1x + m2*u2x = m1*v1x + m2*v2x

(1200*20) + (1500*0) = (1200+1500)*v*cos57.....(1)

v = 16.32 m/s


Pfy = Piy


m1*u1y + m2*u2y = m1*v1y + m2*v2y

(1200*0) + (1500*u2y) = (1200+1500)*16.32*sin57.....(1)

u2y = 24.64 km/h <<--answer


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