Question

In: Physics

(c7p44) An Escort and a Camaro traveling at right angles collide and stick together. The Escort...

(c7p44) An Escort and a Camaro traveling at right angles collide and stick together. The Escort has a mass of 1100 kg and a speed of 40 km/h in the positive x direction before the collision. The Camaro has a mass of 1700 kg and was traveling in the positive y direction. After the collision, the two move off at an angle of 74 ^o to the x axis. What was the speed of the Camaro?(in km/h)

Expert Solution

Given that :

mass of Escort, m₁ = 1100 kg

velocity of Escort, v₁ = 40 km/hr

mass of Camaro, m₂ = 1700 kg

velocity of Camaro, v₂ = ?

Applying conservation of momentum along the x-axis,

m₁ v₁ = (m₁ + m₂) v cos

v = m₁ v₁ / (m₁ + m₂) cos { eq.1 }

Applying conservation of momentum along the y-axis,

m₂ v₂ = (m₁ + m₂) v sin

v₂ = [(m1 + m2) v sin ] / m₂ { eq.2 }

inserting the value of v in eq.2,

v₂ = [(m₁ + m₂) sin / m₂] [m₁ v₁ / (m₁ + m₂) cos ]

v₂ = m₁ v₁ tan / m₂ { eq.3 }

What was the speed of the Camaro?

v₂ = (1100 kg) (40 km/hr) tan 74⁰ / (1700 kg)

v₂ = 90.2 km/hr

genius_generous answered 2 years ago

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