Two cars, of mass 2 kg and 1 kg, approach each other heads-on with the same speed 3 m/s, as shown in the figure above. When the carts collide, they hook together. Assuming positive momentum is to the right, which of the following best represents the momentum of the cart of mass 1 kg as a function of time before and after the collision? Two cars, of mass 2 kg and 1 kg, approach each other heads-on wvith the same speed 3 m/s, as shown in the figure above. When the cartscollide, they hook together. Assuming positive momentum is to the right, which of the following best represents the momentum of the cartof mass 1 kg as a function of time before and after the collision?2 kg1 kgTimeTime(B)-TimeTimeMomentumMomentumMomentumMomentum

Mass of the cars are, m1 = 2 kg m2 = 1 kg Initial speed of the first car is v1 = 3 m/s and that of…

Answered: Two cars, of mass 2 kg and 1 kg,…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter6: Momentum, Impulse, And Collisions

Section: Chapter Questions

Problem 3CQ: Two carts on an air track have the same mass and speed and are traveling towards each other. If they...

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Two cars, of mass 2 kg and 1 kg, approach each other heads-on with the same speed 3 m/s, as shown in the figure above. When the carts collide, they hook together. Assuming positive momentum is to the right, which of the following best represents the momentum of the cart of mass 1 kg as a function of time before and after the collision?

Two cars, of mass 2 kg and 1 kg, approach each other heads-on wvith the same speed 3 m/s, as shown in the figure above. When the carts
collide, they hook together. Assuming positive momentum is to the right, which of the following best represents the momentum of the cart
of mass 1 kg as a function of time before and after the collision?
2 kg
1 kg
Time
Time
(B)
-Time
Time
Momentum
Momentum
Momentum
Momentum

Expert Solution

Step 1

Mass of the cars are,

m₁ = 2 kg

m₂ = 1 kg

Initial speed of the first car is v₁ = 3 m/s and that of the second car is v₂ = - 3 m/s

Suppose that final speed is v_f

Using conservation of linear momentum,

$\begin{array}{rcl} m_{1} v_{1} + m_{2} v_{2} & = & (m_{1} + m_{2}) v_{f} \\ 2 \times 3 + 1 (- 3) & = & (1 + 2) v_{f} \\ v_{f} & = & \frac{3}{3} m / s \\ v_{f} & = & 1 m / s \end{array}$

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