This is a two-dimensional version of a conservation-of-momentum problem. Now we will have to keep track of both the x and y components of the momentum of each object in the system. (Figure 1) shows two chunks of ice sliding on the surface of a frictionless frozen pond. Chunk A, with mass mA=5.0kg, moves with initial velocity vA,i=2.0m/s parallel to the x axis. It collides with chunk B, which has mass mB=3.0kg and is initially at rest. After the collision, the velocity of A is found to be vA,f=1.0m/s in a direction at an angle α=30∘ with the initial direction (Figure 2). What is the final velocity of B (magnitude and direction)? PART A. b)If chunk B has an initial velocity of magnitude 1.6 m/s in the +y direction instead of being initially at rest, find the final magnitude of its velocity. c)Using Part A, find the final direction of the velocity.
This is a two-dimensional version of a conservation-of-momentum problem. Now we will have to keep track of both the x and y components of the momentum of each object in the system. (Figure 1) shows two chunks of ice sliding on the surface of a frictionless frozen pond. Chunk A, with mass mA=5.0kg, moves with initial velocity vA,i=2.0m/s parallel to the x axis. It collides with chunk B, which has mass mB=3.0kg and is initially at rest. After the collision, the velocity of A is found to be vA,f=1.0m/s in a direction at an angle α=30∘ with the initial direction (Figure 2). What is the final velocity of B (magnitude and direction)? PART A. b)If chunk B has an initial velocity of magnitude 1.6 m/s in the +y direction instead of being initially at rest, find the final magnitude of its velocity. c)Using Part A, find the final direction of the velocity.
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Chapter1: Units, Trigonometry. And Vectors
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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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This is a two-dimensional version of a conservation-of-momentum problem. Now we will have to keep track of both the x and y components of the momentum of each object in the system. (Figure 1) shows two chunks of ice sliding on the surface of a frictionless frozen pond. Chunk A, with mass mA=5.0kg, moves with initial velocity vA,i=2.0m/s parallel to the x axis. It collides with chunk B, which has mass mB=3.0kg and is initially at rest. After the collision, the velocity of A is found to be vA,f=1.0m/s in a direction at an angle α=30∘ with the initial direction (Figure 2). What is the final velocity of B (magnitude and direction)?
PART A. b)If chunk B has an initial velocity of magnitude 1.6 m/s in the +y direction instead of being initially at rest, find the final magnitude of its velocity.
c)Using Part A, find the final direction of the velocity.
Transcribed Image Text:The image depicts a physics scenario involving two masses, labeled as \( A \) and \( B \), on a coordinate plane. Here's a detailed explanation:
- **Object Details**:
- **Mass \( A \)**:
- Mass (\( m_A \)) = 5.0 kg.
- Initial velocity (\( v_{A_i} \)) = 2.0 m/s in the negative x-direction (leftward).
- **Mass \( B \)**:
- Mass (\( m_B \)) = 3.0 kg.
- **Diagram Explanation**:
- Mass \( A \) is depicted on the left side and is moving towards the right (positive x-direction) with an initial velocity of 2.0 m/s, indicated by a green arrow.
- Mass \( B \) is initially at rest at point \( O \) on the positive x-axis.
- The coordinate axes are labeled as \( x \) (horizontal) and \( y \) (vertical), with the intersection at the origin \( O \).
This setup is typical for studying collisions and conservation of momentum in physics.
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