An empty cart with mass of 4 kg rolls on a horizontal surface towards the left with a velocity of 2 m/s. A 1 kg package then falls vertically (without horizontal velocity with respect to the floor) into the cart as shown in the figure. Determine the final speed of the cart and the package. You can ignore any effects caused by friction. Express your answer in m/s. m = 1 kg U2 = ? v = 2 m/s M = 4 kg
An empty cart with mass of 4 kg rolls on a horizontal surface towards the left with a velocity of 2 m/s. A 1 kg package then falls vertically (without horizontal velocity with respect to the floor) into the cart as shown in the figure. Determine the final speed of the cart and the package. You can ignore any effects caused by friction. Express your answer in m/s. m = 1 kg U2 = ? v = 2 m/s M = 4 kg
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![An empty cart with mass of 4 kg rolls on a horizontal surface towards the left with a velocity of 2 m/s. A 1 kg package then falls vertically (without horizontal velocity with respect to the floor) into the cart as shown in the figure. Determine the final speed of the cart and the package. You can ignore any effects caused by friction. Express your answer in m/s.
The diagram illustrates:
- A cart with a mass labeled as \( M = 4 \, \text{kg} \).
- An arrow indicating its initial velocity labeled as \( v_1 = 2 \, \text{m/s} \) directed to the left.
- A package with a mass labeled as \( m = 1 \, \text{kg} \) falling vertically into the cart.
- The final velocity of the system is labeled as \( v_2 = ? \).
The scenario involves a conservation of momentum problem where the horizontal motion of the cart is affected by the addition of the mass of the package.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc7aa9576-c8fb-4ae7-a419-cc2a7a929b86%2F2931b708-3bdf-48d6-ab5b-797098c1f8af%2Fqje29jc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:An empty cart with mass of 4 kg rolls on a horizontal surface towards the left with a velocity of 2 m/s. A 1 kg package then falls vertically (without horizontal velocity with respect to the floor) into the cart as shown in the figure. Determine the final speed of the cart and the package. You can ignore any effects caused by friction. Express your answer in m/s.
The diagram illustrates:
- A cart with a mass labeled as \( M = 4 \, \text{kg} \).
- An arrow indicating its initial velocity labeled as \( v_1 = 2 \, \text{m/s} \) directed to the left.
- A package with a mass labeled as \( m = 1 \, \text{kg} \) falling vertically into the cart.
- The final velocity of the system is labeled as \( v_2 = ? \).
The scenario involves a conservation of momentum problem where the horizontal motion of the cart is affected by the addition of the mass of the package.
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