Question

Calculate Two carts move directly toward one another on an air track. Cart 1 has a mass of $0.35 \mathrm{~kg}$ and a speed of $1.2 \mathrm{~m} / \mathrm{s}$. Cart 2 has a mass of $0.61 \mathrm{~kg}$ and a speed of $0.85 \mathrm{~m} / \mathrm{s}$. What is the total momentum of the system, assuming that cart 1 moves in the positive direction?

Name: Problem 14, Chapter 7: Pearson Physics
Uploaded: 2023-02-20T23:45:38-08:00
Duration: 1 min 50 s
Channel: Nishant Kumar
Description: Calculate Two carts move directly toward one another on an air track. Cart 1 has a mass of 0.35 kg and a speed of 1.2 m / s. Cart 2 has a mass of 0.61 kg and a speed of 0.85 m / s. What is the total momentum of the system, assuming that cart 1 moves in the positive direction?

   Calculate Two carts move directly toward one another on an air track. Cart 1 has a mass of $0.35 \mathrm{~kg}$ and a speed of $1.2 \mathrm{~m} / \mathrm{s}$. Cart 2 has a mass of $0.61 \mathrm{~kg}$ and a speed of $0.85 \mathrm{~m} / \mathrm{s}$. What is the total momentum of the system, assuming that cart 1 moves in the positive direction?

Pearson Physics

James S. Walker 1st Edition

Chapter 7, Problem 14

Instant Answer

Solved by Expert Nishant Kumar

02/20/2023

Step 1

The momentum (p) of an object is given by the product of its mass (m) and its velocity (v). So, for cart 1, we have: \[p_1 = m_1 \times v_1 = 0.35 \, \text{kg} \times 1.2 \, \text{m/s} = 0.42 \, \text{kg m/s}\] Show more…

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Calculate Two carts move directly toward one another on an air track. Cart 1 has a mass of $0.35 \mathrm{~kg}$ and a speed of $1.2 \mathrm{~m} / \mathrm{s}$. Cart 2 has a mass of $0.61 \mathrm{~kg}$ and a speed of $0.85 \mathrm{~m} / \mathrm{s}$. What is the total momentum of the system, assuming that cart 1 moves in the positive direction?

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Key Concepts

Linear Momentum

Linear momentum is a measure of the motion of an object and is defined as the product of its mass and velocity. It is a vector quantity, meaning that both its magnitude and direction are important in analysis. This concept is key when analyzing systems involving moving objects, as the momentum of each object can be calculated and then summed to determine the overall movement of the system.

Vector Addition

Since momentum is a vector, combining the momenta of multiple objects requires consideration of both magnitude and direction. Using vector addition allows for a correct calculation of the total momentum in the system by summing the individual momentum components, taking into account any opposing directions via appropriate positive or negative signs.

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