How Does a Student Walking on a Cart Affect Its Velocity?

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To solve the problem of how a student walking on a cart affects its velocity, apply the principle of conservation of linear momentum. Initially, the combined system of the student and cart moves at 3.2 m/s west. When the student walks at 1.8 m/s at an angle of 25 degrees west of north, the momentum of the system must remain constant. By calculating the new velocity of the cart using the momentum before and after the student starts walking, the effects of the student's movement on the cart's velocity can be determined. This approach effectively illustrates the interaction between the student and cart's velocities.
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Homework Statement



A 63-kg student stands on a 34-kg cart that is free to move in any direction. The cart and student are moving together with a velocity of 3.2 m/s (W). The student then starts to walk so that her velocity is 1.8 m/s (25 degrees W of N) relative to the floor. Calculate the new veloicity of the cart



If anyone knows how to approach/complete this problem. Please share. Thanks.
 
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Use conservation of linear momentum.
 
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