Question

In: Physics

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

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

Expert Solution

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

genius_generous answered 6 months ago

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