A 2,100 kg car drives east toward a 55 kg shopping cart that has a velocity of 0.50 m/s west. The two objects collide, giving the car a final velocity of 6.31 m/s east and the shopping cart a velocity of 13.5 m/s east. What was the
initial velocity of the car?
O A. 6.68 m/s east
OB. 7.19 m/s east
OC. 6.68 m/s west
OD. 7.19 m/s west

Respuesta :

The initial velocity of the car is 6.68 m/s east.

Conservation of linear momentum

The initial velocity of the car is determined by applying the principle of conservation of linear momentum.

m₁u₁ + m₂u₂ = m₁v₁+ m₂v₂

let east = positive direction

let west = negative direction

2100u₁ + 55(-0.5) = 2100(6.31) + 55(13.5)

2100u₁ - 27.5 = 13,993.5

2100u₁ = 14,021

u₁ = 14,021/2100

u₁ = 6.68 m/s east

Thus, the initial velocity of the car is 6.68 m/s east.

Learn more about conservation of linear momentum here: https://brainly.com/question/7538238

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