Questions 1. (a) What does it mean to say that momentum is a conserved quantity? (b) Under what circumstance(s) will the change in momentum of a system be zero? 2. A system contains two objects. Object 1 has a mass of 220g and is moving with a velocity (15 m/s). Object 2 has a mass of 150 g. What must the velocity of object 2 be for the total system momentum to be zero? 3. Express the vector A=41 m/s @ -47° in terms of its components. 4. If they are sensible computations, complete the calculations given below. If the requested calculation does not make sense, explain what makes it nonsense. (a) [21 kg] 14 kg -12 m/s 22 m/s 7. Two carts collide on a level, frictionless track. Just before they collide, the 370 g cart had a velocity of 1.7 m/s and the 600 g cart had a velocity of -1.7 m/s . If they stick together, what will their velocity be just after the colli- sion? (b) 6.0s 8. The motion of an object along a horizontal surface is described by the motion diagram in part (a) of the figure to the right. Which of the three graphs below that motion diagram is the most correct representation of the velocity of the object? Explain your choice. 5. Sketch a graph of velocity as a function of time for an object that is located at x = 3m at t = 0 and is moving at a constant velocity of (-2.0 m/s) Make sure to label your axes, including appropriate scales and units to show at least 4 seconds of time. 6. Similarly, sketch a graph of position as a function of time for the object in question 5. (a) t₁ = 0 x₁ = 0 v₁ = 0 (b) 4.0 m/s -8.0 m/s Yx 000 (c) + -22 m 46 m Vx (d) ●●● V₂ hr t t
Questions 1. (a) What does it mean to say that momentum is a conserved quantity? (b) Under what circumstance(s) will the change in momentum of a system be zero? 2. A system contains two objects. Object 1 has a mass of 220g and is moving with a velocity (15 m/s). Object 2 has a mass of 150 g. What must the velocity of object 2 be for the total system momentum to be zero? 3. Express the vector A=41 m/s @ -47° in terms of its components. 4. If they are sensible computations, complete the calculations given below. If the requested calculation does not make sense, explain what makes it nonsense. (a) [21 kg] 14 kg -12 m/s 22 m/s 7. Two carts collide on a level, frictionless track. Just before they collide, the 370 g cart had a velocity of 1.7 m/s and the 600 g cart had a velocity of -1.7 m/s . If they stick together, what will their velocity be just after the colli- sion? (b) 6.0s 8. The motion of an object along a horizontal surface is described by the motion diagram in part (a) of the figure to the right. Which of the three graphs below that motion diagram is the most correct representation of the velocity of the object? Explain your choice. 5. Sketch a graph of velocity as a function of time for an object that is located at x = 3m at t = 0 and is moving at a constant velocity of (-2.0 m/s) Make sure to label your axes, including appropriate scales and units to show at least 4 seconds of time. 6. Similarly, sketch a graph of position as a function of time for the object in question 5. (a) t₁ = 0 x₁ = 0 v₁ = 0 (b) 4.0 m/s -8.0 m/s Yx 000 (c) + -22 m 46 m Vx (d) ●●● V₂ hr t t
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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![**Questions**
1. (a) What does it mean to say that momentum is a conserved quantity?
(b) Under what circumstance(s) will the change in momentum of a system be zero?
2. A system contains two objects. Object 1 has a mass of 220 g and is moving with a velocity \( (15 \, \text{m/s}) \hat{x} \). Object 2 has a mass of 150 g. What must the velocity of object 2 be for the total system momentum to be zero?
3. Express the vector \( \vec{A} = 41 \, \text{m/s} \, @ \, -47^\circ \) in terms of its components.
4. If they are sensible computations, complete the calculations given below. If the requested calculation does not make sense, explain what makes it nonsense.
(a) \[
\begin{bmatrix}
21 \, \text{kg} \\
14 \, \text{kg}
\end{bmatrix}
-
\begin{bmatrix}
-12 \, \text{m/s} \\
22 \, \text{m/s}
\end{bmatrix}
\]
(b) \(6.0 \, \text{s}
\begin{bmatrix}
4.0 \, \text{m/s} \\
-8.0 \, \text{m/s}
\end{bmatrix}
+
\begin{bmatrix}
-22 \, \text{m} \\
46 \, \text{m}
\end{bmatrix}
\)
5. Sketch a graph of velocity as a function of time for an object that is located at \( x = 3 \, \text{m} \) at \( t = 0 \) and is moving at a constant velocity of \( (-2.0 \, \text{m/s}) \hat{x} \). Make sure to label your axes, including appropriate scales and units, to show at least 4 seconds of time.
6. Similarly, sketch a graph of position as a function of time for the object in question 5.
7. Two carts collide on a level, frictionless track. Just before they collide, the 370 g cart had](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F06512908-6534-4389-9d07-5dc7e2cbc6af%2Fc454593a-71a3-4cb4-9164-ea3b93090027%2Fhye7g8f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Questions**
1. (a) What does it mean to say that momentum is a conserved quantity?
(b) Under what circumstance(s) will the change in momentum of a system be zero?
2. A system contains two objects. Object 1 has a mass of 220 g and is moving with a velocity \( (15 \, \text{m/s}) \hat{x} \). Object 2 has a mass of 150 g. What must the velocity of object 2 be for the total system momentum to be zero?
3. Express the vector \( \vec{A} = 41 \, \text{m/s} \, @ \, -47^\circ \) in terms of its components.
4. If they are sensible computations, complete the calculations given below. If the requested calculation does not make sense, explain what makes it nonsense.
(a) \[
\begin{bmatrix}
21 \, \text{kg} \\
14 \, \text{kg}
\end{bmatrix}
-
\begin{bmatrix}
-12 \, \text{m/s} \\
22 \, \text{m/s}
\end{bmatrix}
\]
(b) \(6.0 \, \text{s}
\begin{bmatrix}
4.0 \, \text{m/s} \\
-8.0 \, \text{m/s}
\end{bmatrix}
+
\begin{bmatrix}
-22 \, \text{m} \\
46 \, \text{m}
\end{bmatrix}
\)
5. Sketch a graph of velocity as a function of time for an object that is located at \( x = 3 \, \text{m} \) at \( t = 0 \) and is moving at a constant velocity of \( (-2.0 \, \text{m/s}) \hat{x} \). Make sure to label your axes, including appropriate scales and units, to show at least 4 seconds of time.
6. Similarly, sketch a graph of position as a function of time for the object in question 5.
7. Two carts collide on a level, frictionless track. Just before they collide, the 370 g cart had
Expert Solution
Step 1: Principle of conservation of momentum
“Since you have posted multiple questions, we will provide the solution only to the first question as per our Q&A guidelines. Please repost the remaining questions separately.”
The conservation of momentum is a fundamental principle in physics that states that the total momentum of an isolated system remains constant if no external forces are acting on it.
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